# ScorpTech x402 API (remote · scorptech.it.com)

112 x402 pay-per-call tools: web data, security/OSINT, SEC and public data, Solana/EVM lookups

- Trust score: 70/100 (medium)
- Change this week: +3
- Registry status: active
- Liveness: live
- Owner verified: no
- Last scored: 2026-11-05

## Components

- remote · `scorptech.it.com`: 70/100 (this document), [markdown](https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp.md), [page](https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp)

## Channel facts

- Endpoint: `https://scorptech.it.com/api/x402/mcp`
- Transports: `streamable-http`
- Auth: `none`
- Version: `1.0.0`

## Trust breakdown

How this component scores in each security and reliability category. Every signal is checked automatically against the live server, and we only credit what we can confirm. Scores are 0–100 per category. Scoring method: https://verifymcp.io/docs/scoring (what has changed: https://verifymcp.io/docs/scoring/changelog)

Scored 2026-11-05.

- **Endpoint Security**: 69/100
  - The endpoint's TLS certificate is valid, in date, and uses a strong key.
  - No authorisation is required to call this server. Every tool declares its destructiveHint and none is destructive, so open access doesn't expose one.
  - HTTPS enforcement could not be verified: the plaintext port answered with HTTP 405, which proves neither a plaintext path nor enforcement.
  - The HSTS (Strict-Transport-Security) header is present.
  - DNSSEC check failed: this domain isn't protected by DNSSEC.
- **Transport & Reachability**: 100/100
  - Verified streamable-http transport via a live MCP handshake.
- **Schema Quality & AI Usability**: 62/100
  - AI-judged instruction clarity (good).
  - Context-footprint check failed: tool/resource definitions use about 145821 tokens (~144/item across 1012 items; 1012 tools + 0 resources), over budget; trim descriptions and params.
  - Usage-examples check failed: none of the tools include examples.
- **Stability & Change Management**: 43/100
  - Stability observed for 13 of 30 days with no destabilising changes; credit accrues until the full window elapses.
- **Tool Coverage**: 81/100
  - 100% of tools have a non-trivial description (not blank, and not just the tool's name).
  - 42% of tool parameters carry a description.
- **Tool Safety**: 75/100
  - No prompt-injection markers were found in the server instructions, tool names or descriptions we captured.
  - 0 of 5 tool(s) whose name or description implies an irreversible operation declare an MCP destructiveHint annotation; "ip_range_merge" implies "merge" and declares readOnlyHint instead, contradicting what its own name says it does.
  - An AI judge read all 1013 captured unit(s) of tool text and found none that tries to manipulate the model reading it.
- **Capabilities**: 100/100
  - Implements a current MCP spec version (2026-07-28).

## Install

### How do I install the ScorpTech x402 API MCP server?

ScorpTech x402 API is a hosted endpoint at https://scorptech.it.com/api/x402/mcp, so there is nothing to install locally. Ready-made configuration for Claude, Cursor, VS Code, Codex and 5 more is on this page, copied from each client's own documentation.

### Claude

```bash
claude mcp add --transport http com-it-scorptech-x402 'https://scorptech.it.com/api/x402/mcp'
```

### Cursor

```json
{
  "mcpServers": {
    "com-it-scorptech-x402": {
      "url": "https://scorptech.it.com/api/x402/mcp"
    }
  }
}
```

### VS Code

```json
{
  "servers": {
    "com-it-scorptech-x402": {
      "type": "http",
      "url": "https://scorptech.it.com/api/x402/mcp"
    }
  }
}
```

### Codex

```toml
[mcp_servers.com-it-scorptech-x402]
url = "https://scorptech.it.com/api/x402/mcp"
```

### opencode

```json
{
  "$schema": "https://opencode.ai/config.json",
  "mcp": {
    "com-it-scorptech-x402": {
      "type": "remote",
      "url": "https://scorptech.it.com/api/x402/mcp",
      "enabled": true
    }
  }
}
```

### OpenClaw

```bash
openclaw mcp add com-it-scorptech-x402 --url 'https://scorptech.it.com/api/x402/mcp' --transport streamable-http
```

### Hermes

```yaml
mcp_servers:
  com-it-scorptech-x402:
    url: "https://scorptech.it.com/api/x402/mcp"
```

### Netclaw

```json
{
  "McpServers": {
    "com-it-scorptech-x402": {
      "Transport": "http",
      "Url": "https://scorptech.it.com/api/x402/mcp"
    }
  }
}
```

### Vellum

```bash
assistant mcp add com-it-scorptech-x402 -t streamable-http -u 'https://scorptech.it.com/api/x402/mcp'
```

### Other

```json
{
  "mcpServers": {
    "com-it-scorptech-x402": {
      "type": "http",
      "url": "https://scorptech.it.com/api/x402/mcp"
    }
  }
}
```

The mcpServers block is a cross-client convention. Remote transports vary, so check your client's docs.

## Changelog

Every change recorded for this component, newest first. Days that predate change tracking, or that we cannot explain, say so: "we were watching and nothing happened" and "we were not watching" are different claims.

### 2026-11-05 (score 70, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

- [security] The server rewrote its instructions, which are the text every model session reads
- [functional] Too many changes on this day to record them all, so 703 were dropped
- [functional] New tool “entringer”
- [functional] New tool “alternating_factorial”
- [functional] New tool “password_generate”
- [functional] New tool “polygonal_index”
- [functional] New tool “carmichael_sum”
- [functional] New tool “perfect_check”
- [functional] New tool “hexanacci_mod”
- [functional] New tool “cidr_calc”
- [functional] New tool “prev_prime”
- [functional] New tool “cf_best”
- [functional] New tool “hofstadter_m”
- [functional] New tool “cubefree_count”
- [functional] New tool “eulerian_mod”
- [functional] New tool “fibbinary_nth”
- [functional] New tool “sopfr”
- [functional] New tool “collatz_glide”
- [functional] New tool “polygonal”
- [functional] New tool “central_index”
- [functional] New tool “extravagant”
- [functional] New tool “pgp_key_info”
- [functional] New tool “pentanacci_index”
- [functional] New tool “subtraction_grundy”
- [functional] New tool “hofstadter”
- [functional] New tool “evm_verify_signature”
- [functional] New tool “kaprekar”
- [functional] New tool “recaman”
- [functional] New tool “kaprekar_repdigit”
- [functional] New tool “factoradic_sum”
- [functional] New tool “xml_xpath”
- [functional] New tool “ssh_key_info”
- [functional] New tool “paper_next”
- [functional] New tool “tribonacci”
- [functional] New tool “higgs”
- [functional] New tool “wedderburn_index”
- [functional] New tool “duffinian_sum”
- [functional] New tool “arithmetic_next”
- [functional] New tool “kronecker”
- [functional] New tool “poly_eval”
- [functional] New tool “lucky”
- [functional] New tool “abi_encode”
- [functional] New tool “fibword_prefix”
- [functional] New tool “perm_next”
- [functional] New tool “smarandache_least”
- [functional] New tool “kaprekar_step”
- [functional] New tool “isin_validate”
- [functional] New tool “home_grows”
- [functional] New tool “jwk_convert”
- [functional] New tool “polydivisible”
- [functional] New tool “hexanacci”
- [functional] New tool “music_scale”
- [functional] New tool “isbn_validate”
- [functional] New tool “pell_compose”
- [functional] New tool “carmichael_next”
- [functional] New tool “fibbinary_index”
- [functional] New tool “digit_sum”
- [functional] New tool “champernowne_start”
- [functional] New tool “position_size”
- [functional] New tool “narayana”
- [functional] New tool “plane_partition_sum”
- [functional] New tool “pierpont_next”
- [functional] New tool “landau_sum”
- [functional] New tool “creditor_ref”
- [functional] New tool “vampire”
- [functional] New tool “cas_validate”
- [functional] New tool “sqrt_tail”
- [functional] New tool “fibword”
- [functional] New tool “ioc_extract”
- [functional] New tool “perrin”
- [functional] New tool “day_count”
- [functional] New tool “arithmetic_sum”
- [functional] New tool “dyck_word”
- [functional] New tool “octahedral_next”
- [functional] New tool “riordan_sum”
- [functional] New tool “tangent_number”
- [functional] New tool “csv_profile”
- [functional] New tool “chen_prime”
- [functional] New tool “cake_number”
- [functional] New tool “factoradic_decode”
- [functional] New tool “fuss_catalan”
- [functional] New tool “jacobsthal_power”
- [functional] New tool “euler_zigzag_sum”
- [functional] New tool “rrule_expand”
- [functional] New tool “beatty_sqrt2_comp”
- [functional] New tool “eip712_hash”
- [functional] New tool “hermite_deriv”
- [functional] New tool “central_ratio”
- [functional] New tool “goldbach”
- [functional] New tool “golay_rudin”
- [functional] New tool “negabinary”
- [functional] New tool “little_omega”
- [functional] New tool “text_wrap”
- [functional] New tool “dedupe_records”
- [functional] New tool “stirling1_row”
- [functional] New tool “hexanacci_index”
- [functional] New tool “legendre_symbol”
- [functional] New tool “sociable_length”
- [functional] New tool “zeckendorf”
- [functional] New tool “genocchi”
- [functional] New tool “abundancy”
- [functional] New tool “zumkeller_subset”
- [functional] New tool “superabundant”
- [functional] New tool “laguerre”
- [functional] New tool “padic”
- [functional] New tool “fletcher16”
- [functional] New tool “bond_calc”
- [functional] New tool “keith_steps”
- [functional] New tool “frobenius”
- [functional] New tool “sl2_mul”
- [functional] New tool “central_sum”
- [functional] New tool “pell”
- [functional] New tool “jacobsthal”
- [functional] New tool “octahedral_mod”
- [functional] New tool “paperfold”
- [functional] New tool “mersenne”
- [functional] New tool “saml_decode”
- [functional] New tool “self_number”
- [functional] New tool “scam_text_score”
- [functional] New tool “rising”
- [functional] New tool “prufer_encode”
- [functional] New tool “sixth_sum”
- [functional] New tool “palindrome_reach”
- [functional] New tool “euclid_mullin”
- [functional] New tool “wage_calc”
- [functional] New tool “keith_count”
- [functional] New tool “trib_sum”
- [functional] New tool “pell_equation”
- [functional] New tool “hof_male”
- [functional] New tool “ean_validate”
- [functional] New tool “cows_sum”
- [functional] New tool “wilson_prime”
- [functional] New tool “issn_validate”
- [functional] New tool “matrix_ops”
- [functional] New tool “npv_irr”
- [functional] New tool “trib_mod”
- [functional] New tool “bezier_cubic”
- [functional] New tool “centered_polygonal”
- [functional] New tool “string_case”
- [functional] New tool “gcd_sum”
- [functional] New tool “four_squares”
- [functional] New tool “biunitary_sigma”
- [functional] New tool “css_length”
- [functional] New tool “square_obstruction”
- [functional] New tool “dmarc_report_parse”
- [functional] New tool “involution_sum”
- [functional] New tool “jsonpath”
- [functional] New tool “lucas_disc”
- [functional] New tool “quadratic_residue”
- [functional] New tool “stirling1_unsigned”
- [functional] New tool “proth”
- [functional] New tool “self_nth”
- [functional] New tool “infinitary_deficient”
- [functional] New tool “digit_rev”
- [functional] New tool “mcnugget”
- [functional] New tool “coin_check”
- [functional] New tool “factoradic_digit”
- [functional] New tool “egyptian_last”
- [functional] New tool “password_hash”
- [functional] New tool “cousin_prime”
- [functional] New tool “moser_index”
- [functional] New tool “blum_count”
- [functional] New tool “hofstadter_sum”
- [functional] New tool “chebyshev_u”
- [functional] New tool “exp_divisors”
- [functional] New tool “josephus_first”
- [functional] New tool “reverse_add”
- [functional] New tool “arithmetic_count”
- [functional] New tool “hof_q”
- [functional] New tool “kolakoski”
- [functional] New tool “egyptian_length”
- [functional] New tool “goldbach_check”
- [functional] New tool “hof_h”
- [functional] New tool “collatz_step”
- [functional] New tool “period_double”
- [functional] New tool “duffinian_gcd”
- [functional] New tool “icbrt”
- [functional] New tool “mod_inverse”
- [functional] New tool “vampire_fangs”
- [functional] New tool “square_sum”
- [functional] New tool “divisor_count”
- [functional] New tool “radical”
- [functional] New tool “parking_witness”
- [functional] New tool “schroder_little”
- [functional] New tool “tetranacci_index”
- [functional] New tool “alternating_prime”
- [functional] New tool “self_seed”
- [functional] New tool “lucky_next”
- [functional] New tool “sociable_sum”
- [functional] New tool “central_mod”
- [functional] New tool “champernowne_len”
- [functional] New tool “primitive_abundant”
- [functional] New tool “next_prime”
- [functional] New tool “collatz_next”
- [functional] New tool “odd_goldbach”
- [functional] New tool “primitive_root”
- [functional] New tool “hamming_count”
- [functional] New tool “apery_sum”
- [functional] New tool “zeckendorf_sum”

### 2026-11-03 (score 69, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-31 (score 68, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-29 (score 67, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-27 (score 66, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-25 (score 65, +1)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-24 (score 64, −2)

We did not load change detail this far back for this component, so this day may have recorded more than is shown.

### 2026-10-23 (score 66)

First indexed and scored.

## MCP tools (1012)

The latest capture was truncated, so this tool list may be partial.

### `headers_audit` (~118 tokens)

Input parameters:

- `url` (string, required)

### `email_auth` (~126 tokens)

Input parameters:

- `domain` (string, required)

### `domain_intel` (~145 tokens)

Input parameters:

- `domain` (string, required)

### `robots_sitemap` (~107 tokens)

Input parameters:

- `domain` (string, required)

### `tech_stack` (~101 tokens)

Input parameters:

- `url` (string, required)

### `rdap_age` (~101 tokens)

Input parameters:

- `domain` (string, required)

### `phishing_score` (~106 tokens)

Input parameters:

- `url` (string, required)

### `cve_lookup` (~121 tokens)

Input parameters:

- `product` (string, required)
- `severity` (string)

### `package_risk` (~119 tokens)

Input parameters:

- `ecosystem` (string, required)
- `name` (string, required)

### `github_health` (~100 tokens)

Input parameters:

- `repo` (string, required)

### `opengraph` (~89 tokens)

Input parameters:

- `url` (string, required)

### `url_markdown` (~88 tokens)

Input parameters:

- `url` (string, required)

### `schema_validate` (~94 tokens)

Input parameters:

- `data` (required)
- `schema` (object, required)

### `mx_check` (~97 tokens)

Input parameters:

- `domain` (string, required)

### `ip_intel` (~100 tokens)

Input parameters:

- `ip` (string, required)

### `solana_tx` (~99 tokens)

Input parameters:

- `signature` (string, required)

### `wayback` (~77 tokens)

Input parameters:

- `url` (string, required)

### `dns_dump` (~85 tokens)

Input parameters:

- `domain` (string, required)

### `ct_subdomains` (~81 tokens)

Input parameters:

- `domain` (string, required)

### `redirect_chain` (~90 tokens)

Input parameters:

- `url` (string, required)

### `http_probe` (~86 tokens)

Input parameters:

- `url` (string, required)

### `x402_probe` (~176 tokens)

Input parameters:

- `body` (string)
- `method` (string)
- `url` (string, required)

### `web_to_text` (~130 tokens)

Input parameters:

- `max_chars` (integer)
- `mode` (string)
- `url` (string, required)

### `url_links_extract` (~161 tokens)

Input parameters:

- `dedupe` (boolean)
- `filter` (string)
- `max_links` (integer)
- `url` (string, required)

### `qr_generate` (~222 tokens)

Input parameters:

- `bg` (string)
- `ecc` (string)
- `fg` (string)
- `format` (string)
- `margin` (integer)
- `size` (integer)
- `text` (string, required)

### `text_stats` (~143 tokens)

Input parameters:

- `text` (string, required)
- `top` (integer)
- `wpm` (integer)

### `html_to_markdown` (~179 tokens)

Input parameters:

- `base_url` (string)
- `extract_main` (boolean)
- `html` (string, required)
- `include_images` (boolean)
- `include_links` (boolean)

### `image_info` (~174 tokens)

Input parameters:

- `image` (string, required)
- `include_exif_tags` (boolean)

### `image_resize` (~279 tokens)

Input parameters:

- `auto_orient` (boolean)
- `background` (string)
- `fit` (string)
- `format` (string)
- `height` (integer)
- `image` (string, required)
- `quality` (integer)
- `width` (integer)

### `sec_edgar_search` (~281 tokens)

Input parameters:

- `company` (string)
- `forms` (string)
- `from` (string)
- `limit` (integer)
- `q` (string)
- `to` (string)

### `sec_form4` (~200 tokens)

Input parameters:

- `company` (string, required)
- `limit` (integer)
- `type` (string)

### `company_profile` (~125 tokens)

Input parameters:

- `url` (string, required)

### `weather_nws` (~180 tokens)

Input parameters:

- `hourly` (boolean)
- `lat` (number, required)
- `lon` (number, required)
- `units` (string)

### `arxiv_search` (~206 tokens)

Input parameters:

- `category` (string)
- `limit` (integer)
- `query` (string, required)
- `sort` (string)
- `start` (integer)

### `earthquakes` (~301 tokens)

Input parameters:

- `days` (integer)
- `end` (string)
- `lat` (number)
- `limit` (integer)
- `lon` (number)
- `maxlat` (number)
- `maxlon` (number)
- `minlat` (number)
- `minlon` (number)
- `minmag` (number)
- `order` (string)
- `radiusKm` (number)
- `start` (string)

### `holidays_business_days` (~317 tokens)

Input parameters:

- `country` (string, required)
- `date` (string)
- `days` (integer)
- `end` (string)
- `op` (string)
- `start` (string)
- `subdivision` (string)
- `weekend` (string)
- `year` (integer)

### `hn_search` (~257 tokens)

Input parameters:

- `author` (string)
- `exact` (boolean)
- `from` (string)
- `limit` (integer)
- `minPoints` (integer)
- `page` (integer)
- `query` (string, required)
- `sort` (string)
- `to` (string)
- `type` (string)

### `dns_propagation` (~171 tokens)

Input parameters:

- `domain` (string, required)
- `resolvers` (string)
- `type` (string)

### `ssl_cert_info` (~194 tokens)

Input parameters:

- `host` (string, required)
- `port` (integer)

### `email_validate` (~135 tokens)

Input parameters:

- `check_mx` (boolean)
- `email` (string, required)

### `password_strength` (~201 tokens)

Input parameters:

- `password` (string, required)
- `user_inputs` (array)

### `validate_batch` (~193 tokens)

Input parameters:

- `items` (array)
- `type` (string)
- `value` (string)

### `sol_balance` (~157 tokens)

Input parameters:

- `address` (string, required)
- `include_token2022` (boolean)
- `include_zero` (boolean)
- `limit` (integer)

### `sol_token_meta` (~147 tokens)

Input parameters:

- `include_market` (boolean)
- `mint` (string, required)

### `sol_token_risk` (~173 tokens)

Input parameters:

- `include_holders` (boolean)
- `mint` (string, required)

### `evm_balance` (~208 tokens)

Input parameters:

- `address` (string, required)
- `chain` (string)
- `include_defaults` (boolean)
- `include_zero` (boolean)
- `tokens` (string)

### `evm_tx_info` (~138 tokens)

Input parameters:

- `chain` (string)
- `hash` (string, required)

### `fx_rate` (~161 tokens)

Input parameters:

- `amount` (number)
- `date` (string)
- `from` (string, required)
- `to` (string, required)

### `ens_resolve` (~157 tokens)

Input parameters:

- `address` (string)
- `name` (string)
- `texts` (string)

### `geocode` (~173 tokens)

Input parameters:

- `lang` (string)
- `lat` (number)
- `limit` (integer)
- `lon` (number)
- `provider` (string)
- `q` (string)

### `wallet_risk_basic` (~244 tokens)

Input parameters:

- `address` (string, required)
- `chain` (string)
- `deep` (boolean)
- `lookback_blocks` (integer)

### `sanctions_screen` (~263 tokens)

Input parameters:

- `limit` (integer)
- `lists` (string)
- `minScore` (number)
- `name` (string, required)
- `type` (string)

### `sec_13f` (~218 tokens)

Input parameters:

- `accession` (string)
- `fund` (string, required)
- `limit` (integer)

### `treasury_rates` (~192 tokens)

Input parameters:

- `curve` (string)
- `date` (string)
- `debt` (boolean)

### `domain_availability` (~147 tokens)

Input parameters:

- `domains` (string, required)

### `eu_vat_validate` (~166 tokens)

Input parameters:

- `country` (string)
- `vat` (string, required)

### `ip_reputation` (~158 tokens)

Input parameters:

- `ip` (string, required)

### `cisa_kev` (~237 tokens)

Input parameters:

- `cve` (string)
- `days` (integer)
- `limit` (integer)
- `product` (string)
- `ransomware` (boolean)
- `vendor` (string)

### `epss_score` (~159 tokens)

Input parameters:

- `cve` (string, required)
- `date` (string)

### `hsts_preload` (~139 tokens)

Input parameters:

- `domain` (string, required)

### `macro_indicators` (~261 tokens)

Input parameters:

- `country` (string, required)
- `from` (integer)
- `indicators` (string)
- `source` (string)
- `to` (integer)

### `osv_scan` (~303 tokens)

Input parameters:

- `details` (boolean)
- `ecosystem` (string)
- `package` (string)
- `purl` (string)
- `version` (string)

### `osv_scan_batch` (~284 tokens)

Input parameters:

- `details` (boolean)
- `lockfile` (string)
- `lockfileType` (string)
- `onlyVulnerable` (boolean)
- `packages` (array)

### `iban_validate` (~207 tokens)

Input parameters:

- `bic` (string)
- `iban` (string)

### `wikipedia` (~213 tokens)

Input parameters:

- `lang` (string)
- `limit` (integer)
- `q` (string)
- `summary` (boolean)
- `title` (string)

### `pubmed_search` (~272 tokens)

Input parameters:

- `abstracts` (boolean)
- `from` (string)
- `limit` (integer)
- `query` (string, required)
- `sort` (string)
- `to` (string)

### `feed_discover` (~214 tokens)

Input parameters:

- `items` (integer)
- `probe` (boolean)
- `url` (string, required)

### `evm_selector_decode` (~255 tokens)

Input parameters:

- `calldata` (string)
- `limit` (integer)
- `selector` (string)
- `signature` (string)
- `topic` (string)

### `readability_extract` (~190 tokens)

Input parameters:

- `maxChars` (integer)
- `paragraphs` (boolean)
- `url` (string, required)

### `openalex_search` (~277 tokens)

Input parameters:

- `abstracts` (boolean)
- `from` (integer)
- `limit` (integer)
- `oa` (boolean)
- `page` (integer)
- `q` (string, required)
- `sort` (string)
- `to` (integer)
- `type` (string)

### `format_convert` (~254 tokens)

Input parameters:

- `from` (string)
- `input` (string, required)
- `options` (object)
- `to` (string, required)

### `repo_posture` (~192 tokens)

Input parameters:

- `details` (boolean)
- `repo` (string, required)

### `timezone_convert` (~260 tokens)

Input parameters:

- `from_zone` (string)
- `time` (string)
- `to_zone` (string, required)

### `cron_explain` (~254 tokens)

Input parameters:

- `count` (integer)
- `expr` (string, required)
- `from` (string)
- `tz` (string)

### `ticker_resolver` (~184 tokens)

Input parameters:

- `cik` (string)
- `lei` (boolean)
- `ticker` (string)

### `usaspending_awards` (~352 tokens)

Input parameters:

- `agency` (string)
- `from` (string)
- `keyword` (string)
- `limit` (integer)
- `naics` (string)
- `page` (integer)
- `recipient` (string)
- `sort` (string)
- `to` (string)
- `type` (string)

### `openfda_drug` (~267 tokens)

Input parameters:

- `include` (string)
- `limit` (integer)
- `maxChars` (integer)
- `name` (string)
- `ndc` (string)
- `sections` (string)

### `clinical_trials` (~311 tokens)

Input parameters:

- `condition` (string)
- `limit` (integer)
- `location` (string)
- `pageToken` (string)
- `phase` (string)
- `sort` (string)
- `sponsor` (string)
- `status` (string)
- `term` (string)

### `federal_register` (~289 tokens)

Input parameters:

- `agency` (string)
- `from` (string)
- `limit` (integer)
- `order` (string)
- `page` (integer)
- `q` (string)
- `significant` (boolean)
- `to` (string)
- `type` (string)

### `pii_detect` (~237 tokens)

Input parameters:

- `reveal` (boolean)
- `style` (string)
- `text` (string, required)
- `types` (array)

### `jwt_decode` (~313 tokens)

Input parameters:

- `aud` (string)
- `discover` (boolean)
- `iss` (string)
- `jwks_url` (string)
- `leeway` (integer)
- `token` (string, required)

### `text_diff` (~295 tokens)

Input parameters:

- `a` (string, required)
- `a_label` (string)
- `b` (string, required)
- `b_label` (string)
- `context` (integer)
- `ignore_case` (boolean)
- `ignore_eol` (boolean)
- `ignore_whitespace` (boolean)
- `mode` (string)

### `contact_extract` (~257 tokens)

Input parameters:

- `crawl` (boolean)
- `max_pages` (integer)
- `url` (string, required)

### `seo_audit` (~204 tokens)

Input parameters:

- `robots` (boolean)
- `url` (string, required)

### `weather_global` (~279 tokens)

Input parameters:

- `altitude` (integer)
- `days` (integer)
- `hourly` (boolean)
- `lat` (number, required)
- `lon` (number, required)
- `tz` (string)
- `units` (string)

### `github_trending` (~230 tokens)

Input parameters:

- `language` (string)
- `limit` (integer)
- `min_stars` (integer)
- `since` (string)
- `topic` (string)

### `json_repair` (~231 tokens)

Input parameters:

- `pretty` (boolean)
- `query` (string)
- `text` (string, required)

### `sentiment` (~206 tokens)

Input parameters:

- `sentences` (boolean)
- `text` (string)
- `texts` (array)

### `food_barcode` (~197 tokens)

Input parameters:

- `barcode` (string, required)
- `lang` (string)

### `vin_decode` (~218 tokens)

Input parameters:

- `recalls` (boolean)
- `vin` (string, required)
- `year` (integer)

### `eol_check` (~253 tokens)

Input parameters:

- `items` (string)
- `product` (string)
- `version` (string)

### `text_chunk` (~265 tokens)

Input parameters:

- `chunk_size` (integer)
- `include_text` (boolean)
- `overlap` (integer)
- `strategy` (string)
- `text` (string, required)
- `unit` (string)

### `hash_encode` (~464 tokens)

Input parameters:

- `encodings` (array)
- `generate` (object)
- `hashes` (array)
- `hmac_algorithms` (array)
- `hmac_key` (string)
- `hmac_key_encoding` (string)
- `identify` (boolean)
- `input` (string)
- `input_encoding` (string)

### `census_geographies` (~181 tokens)

Input parameters:

- `address` (string)
- `lat` (number)
- `lon` (number)

### `evm_contract_info` (~200 tokens)

Input parameters:

- `address` (string, required)
- `chain` (string)

### `evm_token_transfers` (~127 tokens)

Input parameters:

- `token` (string, required)

### `evm_allowance` (~143 tokens)

Input parameters:

- `owner` (string, required)

### `evm_gas` (~129 tokens)

Input parameters:

- `chains` (string)

### `nft_metadata` (~137 tokens)

Input parameters:

- `contract` (string, required)
- `tokenId` (string, required)

### `evm_read` (~142 tokens)

Input parameters:

- `contract` (string, required)
- `signature` (string)

### `prompt_injection_scan` (~151 tokens)

Input parameters:

- `text` (string)

### `airport_status` (~127 tokens)

Input parameters:

- `airport` (string)

### `dockerfile_lint` (~140 tokens)

Input parameters:

- `dockerfile` (string)

### `regex_test` (~129 tokens)

Input parameters:

- `pattern` (string)
- `subject` (string)

### `sec_financials` (~241 tokens)

Input parameters:

- `cik` (string)
- `limit` (integer)
- `period` (string)
- `ticker` (string)

### `fund_holdings` (~211 tokens)

Input parameters:

- `fund` (string, required)
- `limit` (integer)

### `fda_adverse_events` (~309 tokens)

Input parameters:

- `category` (string)
- `count` (string)
- `drug` (string)
- `from` (string)
- `full` (boolean)
- `limit` (integer)
- `product` (string)
- `reaction` (string)
- `search` (string)
- `serious` (boolean)
- `skip` (integer)
- `sort` (string)
- `to` (string)

### `fda_recalls` (~311 tokens)

Input parameters:

- `category` (string)
- `classification` (string)
- `count` (string)
- `firm` (string)
- `from` (string)
- `limit` (integer)
- `product` (string)
- `reason` (string)
- `search` (string)
- `skip` (integer)
- `sort` (string)
- `source` (string)
- `state` (string)
- `status` (string)
- `to` (string)

### `fda_device` (~292 tokens)

Input parameters:

- `applicant` (string)
- `count` (string)
- `dataset` (string)
- `deviceClass` (string)
- `from` (string)
- `limit` (integer)
- `name` (string)
- `number` (string)
- `productCode` (string)
- `search` (string)
- `skip` (integer)
- `sort` (string)
- `to` (string)

### `bls_series` (~194 tokens)

Input parameters:

- `endYear` (integer)
- `latestOnly` (boolean)
- `series` (string, required)
- `startYear` (integer)

### `us_macro` (~182 tokens)

Input parameters:

- `history` (integer)
- `indicators` (string)

### `ssl_blacklist` (~246 tokens)

Input parameters:

- `ip` (string)
- `limit` (integer)
- `reason` (string)
- `sha1` (string)
- `since` (string)

### `ping` (~128 tokens)

Input parameters:

- `echo` (string)

### `evm_block` (~229 tokens)

Input parameters:

- `block` (string)
- `chain` (string)
- `limit` (integer)
- `transactions` (boolean)

### `evm_logs` (~348 tokens)

Input parameters:

- `address` (string, required)
- `blocks` (integer)
- `chain` (string)
- `event` (string, required)
- `limit` (integer)
- `toBlock` (integer)
- `topic1` (string)
- `topic2` (string)
- `topic3` (string)

### `evm_address_activity` (~198 tokens)

Input parameters:

- `address` (string, required)
- `chains` (array)

### `sol_priority_fees` (~215 tokens)

Input parameters:

- `accounts` (array)
- `computeUnits` (integer)
- `signatures` (integer)

### `sol_network` (~137 tokens)

Input parameters:

- `samples` (integer)

### `sol_signatures` (~167 tokens)

Input parameters:

- `address` (string, required)
- `before` (string)
- `limit` (integer)

### `sol_account` (~155 tokens)

Input parameters:

- `address` (string, required)

### `sol_tx_status` (~159 tokens)

Input parameters:

- `searchHistory` (boolean)
- `signatures` (array, required)

### `sol_validators` (~164 tokens)

Input parameters:

- `limit` (integer)
- `validator` (string)

### `crypto_address_validate` (~204 tokens)

Input parameters:

- `addresses` (array, required)
- `chain` (string)

### `token_units` (~220 tokens)

Input parameters:

- `amount` (string, required)
- `decimals` (integer)
- `from` (string, required)
- `to` (string, required)

### `abi_encode` (~245 tokens)

Input parameters:

- `args` (array)
- `mode` (string)
- `signature` (string, required)

### `evm_create_address` (~260 tokens)

Input parameters:

- `count` (integer)
- `deployer` (string, required)
- `initCode` (string)
- `initCodeHash` (string)
- `nonce` (integer)
- `salt` (string)

### `evm_verify_signature` (~300 tokens)

Input parameters:

- `address` (string)
- `hash` (string)
- `message` (string)
- `messageEncoding` (string)
- `signature` (string, required)

### `eip712_hash` (~223 tokens)

Input parameters:

- `address` (string)
- `signature` (string)
- `typedData` (object, required)

### `sol_pda` (~340 tokens)

Input parameters:

- `bump` (integer)
- `mint` (string)
- `owner` (string)
- `preset` (string)
- `programId` (string)
- `seeds` (array)
- `tokenProgram` (string)

### `impermanent_loss` (~294 tokens)

Input parameters:

- `currentPrice` (number, required)
- `days` (number)
- `depositValue` (number)
- `entryPrice` (number, required)
- `feeApr` (number)
- `rangeLower` (number)
- `rangeUpper` (number)

### `liquidation_price` (~316 tokens)

Input parameters:

- `collateralAmount` (number)
- `collateralPrice` (number)
- `currentPrice` (number)
- `debt` (number)
- `entryPrice` (number)
- `feePct` (number)
- `leverage` (number)
- `liquidationThresholdPct` (number)
- `maintenanceMarginPct` (number)
- `mode` (string)
- `side` (string)
- `size` (number)

### `position_size` (~242 tokens)

Input parameters:

- `accountBalance` (number, required)
- `entryPrice` (number, required)
- `feePct` (number)
- `lotSize` (number)
- `riskAmount` (number)
- `riskPct` (number)
- `stopPrice` (number, required)
- `targetPrice` (number)

### `loan_amortization` (~229 tokens)

Input parameters:

- `annualRatePct` (number, required)
- `extraPayment` (number)
- `paymentsPerYear` (integer)
- `principal` (number, required)
- `schedule` (string)
- `startDate` (string)
- `termMonths` (integer)
- `termYears` (number)

### `npv_irr` (~221 tokens)

Input parameters:

- `cashFlows` (array, required)
- `dates` (array)
- `financeRatePct` (number)
- `ratePct` (number)
- `reinvestRatePct` (number)

### `compound_interest` (~236 tokens)

Input parameters:

- `annualRatePct` (number)
- `apyPct` (number)
- `compounding` (string)
- `contributionTiming` (string)
- `inflationPct` (number)
- `monthlyContribution` (number)
- `principal` (number)
- `target` (number)
- `years` (number)

### `black_scholes` (~227 tokens)

Input parameters:

- `daysToExpiry` (number, required)
- `dividendYieldPct` (number)
- `marketPrice` (number)
- `ratePct` (number)
- `spot` (number, required)
- `strike` (number, required)
- `type` (string)
- `volatilityPct` (number)

### `bond_calc` (~194 tokens)

Input parameters:

- `couponRatePct` (number, required)
- `faceValue` (number)
- `frequency` (integer)
- `price` (number)
- `yearsToMaturity` (number, required)
- `ytmPct` (number)

### `technical_indicators` (~270 tokens)

Input parameters:

- `candles` (array)
- `close` (array)
- `indicators` (array)
- `period` (integer)
- `series` (integer)

### `portfolio_metrics` (~264 tokens)

Input parameters:

- `benchmark` (string)
- `periodsPerYear` (integer)
- `prices` (object)
- `returns` (object)
- `riskFreePct` (number)
- `weights` (object)

### `mortgage_affordability` (~288 tokens)

Input parameters:

- `annualIncome` (number)
- `backEndDtiPct` (number)
- `downPayment` (number)
- `frontEndDtiPct` (number)
- `hoaPerMonth` (number)
- `homePrice` (number)
- `insurancePerYear` (number)
- `monthlyDebts` (number)
- `pmiPct` (number)
- `propertyTaxPct` (number)
- `ratePct` (number, required)
- `termYears` (integer)

### `unit_economics` (~231 tokens)

Input parameters:

- `arpuMonthly` (number, required)
- `cac` (number)
- `cashBalance` (number)
- `customers` (integer)
- `discountRatePct` (number)
- `grossMarginPct` (number)
- `monthlyChurnPct` (number, required)
- `monthlyFixedCosts` (number)

### `depreciation` (~237 tokens)

Input parameters:

- `cost` (number, required)
- `dbFactor` (number)
- `lifeYears` (integer, required)
- `method` (string)
- `salvage` (number)
- `switchToStraightLine` (boolean)

### `json_diff` (~183 tokens)

Input parameters:

- `a` (required)
- `arrayKey` (string)
- `b` (required)
- `maxChanges` (integer)

### `json_patch` (~154 tokens)

Input parameters:

- `document` (required)
- `mode` (string)
- `patch` (required)

### `jsonpath` (~181 tokens)

Input parameters:

- `json` (required)
- `limit` (integer)
- `queries` (array)
- `query` (string)

### `json_schema_infer` (~198 tokens)

Input parameters:

- `bounds` (boolean)
- `enums` (boolean)
- `json`
- `samples` (array)
- `title` (string)

### `json_to_types` (~154 tokens)

Input parameters:

- `json`
- `language` (string)
- `rootName` (string)
- `samples` (array)

### `csv_profile` (~186 tokens)

Input parameters:

- `csv` (string, required)
- `delimiter` (string)
- `header` (boolean)
- `topValues` (integer)

### `csv_to_sql` (~201 tokens)

Input parameters:

- `batchSize` (integer)
- `createTable` (boolean)
- `csv` (string, required)
- `delimiter` (string)
- `dialect` (string)
- `header` (boolean)
- `primaryKey` (string)
- `table` (string)

### `sql_format` (~170 tokens)

Input parameters:

- `indent` (integer)
- `keywordCase` (string)
- `minify` (boolean)
- `sql` (string, required)

### `json_canonicalize` (~152 tokens)

Input parameters:

- `json` (required)
- `pretty` (boolean)

### `xml_xpath` (~247 tokens)

Input parameters:

- `html` (string)
- `limit` (integer)
- `namespaces` (object)
- `outerXml` (boolean)
- `xml` (string)
- `xpath` (string)
- `xpaths` (object)

### `semver` (~263 tokens)

Input parameters:

- `bump` (string)
- `compareTo` (string)
- `includePrerelease` (boolean)
- `preid` (string)
- `range` (string)
- `version` (string)
- `versions` (array)

### `cidr_calc` (~222 tokens)

Input parameters:

- `cidr` (string, required)
- `contains` (array)
- `splitPrefix` (integer)

### `ip_range_merge` (~164 tokens)

Input parameters:

- `check` (array)
- `exclude` (array)
- `items` (array, required)

### `user_agent_parse` (~201 tokens)

Input parameters:

- `ua` (string)
- `uas` (array)

### `url_parse` (~213 tokens)

Input parameters:

- `dropFragment` (boolean)
- `sortQuery` (boolean)
- `stripTracking` (boolean)
- `url` (string)
- `urls` (array)

### `unit_convert` (~224 tokens)

Input parameters:

- `all` (boolean)
- `from` (string, required)
- `precision` (integer)
- `to` (string)
- `value` (number, required)

### `color_convert` (~213 tokens)

Input parameters:

- `against` (string)
- `color` (string, required)

### `color_palette` (~137 tokens)

Input parameters:

- `color` (string, required)
- `schemes` (array)

### `timestamp_convert` (~229 tokens)

Input parameters:

- `tz` (string)
- `unit` (string)
- `value` (string, required)

### `string_case` (~167 tokens)

Input parameters:

- `slugMaxLength` (integer)
- `slugSeparator` (string)
- `text` (string)
- `texts` (array)
- `to` (string)

### `x509_decode` (~225 tokens)

Input parameters:

- `hostname` (string)
- `pem` (string, required)

### `ssh_key_info` (~195 tokens)

Input parameters:

- `keys` (string, required)

### `secret_scan` (~272 tokens)

Input parameters:

- `includeGeneric` (boolean)
- `maxFindings` (integer)
- `redact` (boolean)
- `text` (string, required)

### `ioc_extract` (~231 tokens)

Input parameters:

- `defang` (boolean)
- `includePrivate` (boolean)
- `text` (string, required)
- `types` (array)

### `cvss_calc` (~219 tokens)

Input parameters:

- `vector` (string, required)

### `csp_evaluate` (~242 tokens)

Input parameters:

- `meta` (boolean)
- `policy` (string, required)
- `reportOnly` (boolean)

### `gha_workflow_lint` (~202 tokens)

Input parameters:

- `workflow` (string, required)

### `k8s_manifest_lint` (~200 tokens)

Input parameters:

- `manifest` (string, required)

### `html_sanitize` (~256 tokens)

Input parameters:

- `allowDataImages` (boolean)
- `allowTags` (array)
- `html` (string, required)
- `linkTarget` (string)
- `nofollow` (boolean)
- `profile` (string)
- `schemes` (array)

### `email_parse` (~214 tokens)

Input parameters:

- `maxBodyChars` (integer)
- `raw` (string, required)

### `keyword_extract` (~218 tokens)

Input parameters:

- `maxWords` (integer)
- `method` (string)
- `minCount` (integer)
- `stopwords` (array)
- `text` (string, required)
- `top` (integer)

### `summarize_extractive` (~190 tokens)

Input parameters:

- `ratio` (number)
- `sentences` (integer)
- `text` (string, required)

### `fuzzy_match` (~247 tokens)

Input parameters:

- `choices` (array, required)
- `details` (boolean)
- `limit` (integer)
- `normalize` (boolean)
- `queries` (array)
- `query` (string)
- `scorer` (string)
- `threshold` (number)

### `text_similarity` (~236 tokens)

Input parameters:

- `a` (string)
- `b` (string)
- `minScore` (number)
- `shingleSize` (integer)
- `texts` (array)
- `threshold` (number)

### `entity_extract` (~231 tokens)

Input parameters:

- `dateOrder` (string)
- `referenceDate` (string)
- `text` (string, required)
- `types` (array)

### `profanity_filter` (~262 tokens)

Input parameters:

- `allowWords` (array)
- `extraWords` (array)
- `mask` (string)
- `minSeverity` (string)
- `reveal` (boolean)
- `text` (string, required)

### `scam_text_score` (~220 tokens)

Input parameters:

- `text` (string)
- `texts` (array)

### `license_detect` (~273 tokens)

Input parameters:

- `spdx` (string)
- `text` (string)

### `markdown_to_html` (~266 tokens)

Input parameters:

- `allowHtml` (boolean)
- `breaks` (boolean)
- `headingIds` (boolean)
- `linkTarget` (string)
- `markdown` (string, required)

### `text_clean` (~500 tokens)

Input parameters:

- `ascii` (boolean)
- `decodeEntities` (boolean)
- `dehyphenate` (boolean)
- `fixMojibake` (boolean)
- `fullwidth` (boolean)
- `ligatures` (boolean)
- `lowercase` (boolean)
- `normalizeDashes` (boolean)
- `normalizeQuotes` (boolean)
- `normalizeWhitespace` (boolean)
- `removeEmails` (boolean)
- `removeEmoji` (boolean)
- `removeUrls` (boolean)
- `stripControl` (boolean)
- `stripHtml` (boolean)
- `stripInvisible` (boolean)
- `text` (string, required)
- `unwrapLines` (boolean)

### `geo_distance` (~215 tokens)

Input parameters:

- `bearing` (number)
- `distance` (number)
- `from` (string)
- `points` (array)
- `to` (string)
- `units` (string)

### `coord_convert` (~210 tokens)

Input parameters:

- `from` (string)
- `geohashPrecision` (integer)
- `input` (string, required)
- `mgrsDigits` (integer)

### `geo_polygon` (~235 tokens)

Input parameters:

- `geometry` (object)
- `hull` (boolean)
- `points` (array)
- `simplify` (number)

### `sun_times` (~220 tokens)

Input parameters:

- `at` (string)
- `date` (string)
- `elevation` (number)
- `lat` (number, required)
- `lon` (number, required)
- `tz` (string)

### `moon_phase` (~200 tokens)

Input parameters:

- `at` (string)
- `lat` (number)
- `lon` (number)
- `tz` (string)

### `date_calc` (~328 tokens)

Input parameters:

- `clamp` (boolean)
- `date` (string)
- `duration` (string)
- `n` (integer)
- `op` (string)
- `to` (string)
- `tz` (string)
- `unit` (string)
- `weekStart` (string)
- `weekday` (string)

### `duration_parse` (~206 tokens)

Input parameters:

- `input` (string)
- `inputs` (array)

### `rrule_expand` (~309 tokens)

Input parameters:

- `after` (string)
- `before` (string)
- `dtstart` (string)
- `exdate` (array)
- `limit` (integer)
- `rdate` (array)
- `rrule` (string, required)
- `tz` (string)

### `meeting_planner` (~246 tokens)

Input parameters:

- `date` (string)
- `duration` (integer)
- `includeWeekends` (boolean)
- `step` (integer)
- `top` (integer)
- `workEnd` (string)
- `workStart` (string)
- `zones` (array, required)

### `fitness_calc` (~360 tokens)

Input parameters:

- `activity` (string)
- `age` (integer)
- `bodyFat` (number)
- `distance` (number)
- `distanceUnit` (string)
- `goal` (string)
- `height` (number)
- `hip` (number)
- `liftWeight` (number)
- `neck` (number)
- `reps` (integer)
- `restingHr` (integer)
- `sex` (string)
- `time` (string)
- `units` (string)
- `waist` (number)
- `weight` (number)

### `html_tables` (~291 tokens)

Input parameters:

- `format` (string)
- `header` (string)
- `html` (string)
- `index` (integer)
- `maxRows` (integer)
- `maxTables` (integer)
- `minRows` (integer)
- `numbers` (boolean)
- `selector` (string)
- `url` (string)

### `html_select` (~226 tokens)

Input parameters:

- `attr` (string)
- `html` (string)
- `limit` (integer)
- `maxText` (integer)
- `outerHtml` (boolean)
- `selector` (string)
- `url` (string)
- `xpath` (string)

### `schema_org_extract` (~191 tokens)

Input parameters:

- `formats` (array)
- `full` (boolean)
- `html` (string)
- `url` (string)

### `security_txt` (~160 tokens)

Input parameters:

- `domain` (string, required)

### `llms_txt` (~181 tokens)

Input parameters:

- `checkFull` (boolean)
- `maxLinks` (integer)
- `url` (string, required)

### `openapi_summary` (~227 tokens)

Input parameters:

- `limit` (integer)
- `search` (string)
- `spec` (object)
- `tag` (string)
- `url` (string)

### `ics_parse` (~258 tokens)

Input parameters:

- `descriptions` (boolean)
- `from` (string)
- `ics` (string)
- `limit` (integer)
- `to` (string)
- `tz` (string)
- `url` (string)

### `link_check` (~239 tokens)

Input parameters:

- `assets` (boolean)
- `base` (string)
- `html` (string)
- `limit` (integer)
- `scope` (string)
- `timeout` (integer)
- `url` (string)

### `reverse_dns` (~151 tokens)

Input parameters:

- `forward` (boolean)
- `ips` (array, required)

### `dnssec_check` (~153 tokens)

Input parameters:

- `domain` (string, required)

### `barcode_generate` (~300 tokens)

Input parameters:

- `bg` (string)
- `checksum` (boolean)
- `data` (string, required)
- `fg` (string)
- `height` (integer)
- `quiet` (integer)
- `scale` (integer)
- `text` (boolean)
- `type` (string)

### `password_generate` (~317 tokens)

Input parameters:

- `addNumber` (boolean)
- `capitalize` (boolean)
- `count` (integer)
- `digits` (boolean)
- `exclude` (string)
- `excludeAmbiguous` (boolean)
- `length` (integer)
- `lower` (boolean)
- `mode` (string)
- `requireEach` (boolean)
- `separator` (string)
- `symbolSet` (string)
- `symbols` (boolean)
- `upper` (boolean)
- `words` (integer)

### `id_generate` (~246 tokens)

Input parameters:

- `alphabet` (string)
- `count` (integer)
- `id` (string)
- `name` (string)
- `namespace` (string)
- `size` (integer)
- `type` (string)

### `fake_data` (~271 tokens)

Input parameters:

- `count` (integer)
- `fields` (object, required)
- `format` (string)
- `seed` (integer)

### `chart_svg` (~311 tokens)

Input parameters:

- `colors` (array)
- `height` (integer)
- `labels` (array)
- `legend` (boolean)
- `series` (array, required)
- `theme` (string)
- `title` (string)
- `type` (string)
- `valueLabels` (boolean)
- `width` (integer)
- `xLabel` (string)
- `yLabel` (string)
- `yMax` (number)
- `yMin` (number)

### `file_type_detect` (~301 tokens)

Input parameters:

- `data` (string)
- `filename` (string)
- `mimeType` (string)
- `url` (string)

### `curl_to_code` (~240 tokens)

Input parameters:

- `command` (string, required)
- `targets` (array)

### `markdown_table` (~257 tokens)

Input parameters:

- `align` (array)
- `columns` (array)
- `data`
- `headers` (array)
- `markdown` (string)
- `maxWidth` (integer)
- `numbers` (boolean)
- `pretty` (boolean)

### `dedupe_records` (~318 tokens)

Input parameters:

- `fields` (array)
- `includeRecords` (boolean)
- `keep` (string)
- `merge` (boolean)
- `mode` (string)
- `records` (array, required)
- `threshold` (number)
- `types` (object)

### `ics_generate` (~291 tokens)

Input parameters:

- `calendarName` (string)
- `events` (array, required)
- `method` (string)
- `timezone` (string)

### `math_eval` (~334 tokens)

Input parameters:

- `angle` (string)
- `digits` (integer)
- `expr` (string, required)
- `mode` (string)
- `vars` (string)

### `equation_solve` (~338 tokens)

Input parameters:

- `angle` (string)
- `equation` (string)
- `equations` (array)
- `max` (number)
- `min` (number)
- `variable` (string)

### `matrix_ops` (~286 tokens)

Input parameters:

- `a` (array, required)
- `b` (array)
- `norm` (string)
- `op` (string)
- `power` (integer)

### `stats_describe` (~292 tokens)

Input parameters:

- `bins` (integer)
- `confidence` (number)
- `data` (array, required)
- `field` (string)
- `outlierK` (number)
- `percentiles` (array)

### `regression_fit` (~320 tokens)

Input parameters:

- `confidence` (number)
- `degree` (integer)
- `intercept` (boolean)
- `model` (string)
- `names` (array)
- `predict` (array)
- `x` (array, required)
- `y` (array, required)

### `hypothesis_test` (~468 tokens)

Input parameters:

- `a` (array)
- `alpha` (number)
- `alternative` (string)
- `b` (array)
- `equalVariance` (boolean)
- `expected` (array)
- `groups` (array)
- `mu` (number)
- `observed` (array)
- `p0` (number)
- `successes` (integer)
- `successesA` (integer)
- `successesB` (integer)
- `table` (array)
- `test` (string, required)
- `trials` (integer)
- `trialsA` (integer)
- `trialsB` (integer)
- `yates` (boolean)

### `number_to_words` (~286 tokens)

Input parameters:

- `capitalize` (boolean)
- `currency` (string)
- `lang` (string)
- `mode` (string)
- `number` (string, required)
- `style` (string)

### `identicon_svg` (~228 tokens)

Input parameters:

- `background` (string)
- `name` (string)
- `rounded` (boolean)
- `size` (integer)
- `style` (string)
- `value` (string, required)

### `random_draw` (~377 tokens)

Input parameters:

- `clientSeed` (string)
- `count` (integer)
- `dice` (string)
- `items` (array)
- `max` (integer)
- `min` (integer)
- `mode` (string)
- `nonce` (integer)
- `serverSeed` (string)
- `unique` (boolean)
- `weights` (array)

### `regex_explain` (~275 tokens)

Input parameters:

- `flags` (string)
- `flavor` (string)
- `pattern` (string, required)
- `tests` (array)

### `jwk_convert` (~363 tokens)

Input parameters:

- `alg` (string)
- `key` (string|object, required)
- `kid` (string)
- `use` (string)

### `jwt_sign` (~452 tokens)

Input parameters:

- `alg` (string)
- `audience` (string)
- `claims` (object)
- `expiresIn` (string)
- `header` (object)
- `iat` (boolean)
- `issuer` (string)
- `jti` (boolean)
- `leeway` (integer)
- `mode` (string)
- `notBefore` (string)
- `now` (integer)
- `secret` (string, required)
- `secretEncoding` (string)
- `subject` (string)
- `token` (string)

### `totp` (~338 tokens)

Input parameters:

- `account` (string)
- `algorithm` (string)
- `bytes` (integer)
- `code` (string)
- `counter` (integer)
- `digits` (integer)
- `issuer` (string)
- `mode` (string)
- `period` (integer)
- `secret` (string)
- `time` (integer)
- `uri` (string)
- `window` (integer)

### `oauth_pkce` (~283 tokens)

Input parameters:

- `authorizationEndpoint` (string)
- `challenge` (string)
- `clientId` (string)
- `extra` (object)
- `length` (integer)
- `method` (string)
- `mode` (string)
- `redirectUri` (string)
- `responseType` (string)
- `scope` (string)
- `state` (string)
- `verifier` (string)

### `webhook_verify` (~464 tokens)

Input parameters:

- `algorithm` (string)
- `encoding` (string)
- `header` (string)
- `headers` (object)
- `id` (string)
- `method` (string)
- `mode` (string)
- `now` (integer)
- `payload` (string, required)
- `prefix` (string)
- `provider` (string, required)
- `secret` (string, required)
- `signature` (string)
- `timestamp` (string)
- `tolerance` (integer)
- `url` (string)

### `password_hash` (~396 tokens)

Input parameters:

- `algorithm` (string)
- `cost` (integer)
- `hash` (string)
- `iterations` (integer)
- `memoryKiB` (integer)
- `mode` (string)
- `password` (string)
- `timeCost` (integer)
- `username` (string)

### `saml_decode` (~305 tokens)

Input parameters:

- `includeXml` (boolean)
- `now` (integer)
- `saml` (string, required)

### `dmarc_report_parse` (~237 tokens)

Input parameters:

- `maxSources` (integer)
- `report` (string, required)

### `pgp_key_info` (~267 tokens)

Input parameters:

- `key` (string, required)
- `now` (integer)

### `cipher_suite_info` (~281 tokens)

Input parameters:

- `limit` (integer)
- `protocol` (string)
- `rating` (string)
- `suite` (string)

### `currency_format` (~401 tokens)

Input parameters:

- `amount` (string)
- `cash` (boolean)
- `country` (string)
- `currency` (string)
- `digits` (integer)
- `display` (string)
- `locale` (string)
- `mode` (string)
- `ratios` (array)
- `rounding` (string)
- `sign` (string)
- `text` (string)

### `day_count` (~286 tokens)

Input parameters:

- `convention` (string)
- `end` (string)
- `frequency` (integer)
- `maturity` (string)
- `mode` (string)
- `principal` (number)
- `ratePct` (number)
- `settlement` (string)
- `start` (string)

### `loan_apr` (~281 tokens)

Input parameters:

- `amount` (number, required)
- `balloon` (number)
- `fees` (number)
- `feesFinanced` (boolean)
- `payment` (number)
- `paymentsPerYear` (integer)
- `points` (number)
- `ratePct` (number, required)
- `termMonths` (integer, required)

### `card_validate` (~228 tokens)

Input parameters:

- `expiry` (string)
- `now` (string)
- `number` (string)
- `numbers` (array)

### `bank_id_validate` (~194 tokens)

Input parameters:

- `type` (string)
- `value` (string, required)

### `credit_payoff` (~259 tokens)

Input parameters:

- `balance` (string, required)
- `minFloor` (string)
- `minPercent` (string)
- `payment` (string)
- `ratePct` (string, required)
- `start` (string)

### `invoice_total` (~200 tokens)

Input parameters:

- `discountAmount` (string)
- `discountPct` (string)
- `lines` (array, required)
- `taxPct` (string)

### `wage_calc` (~292 tokens)

Input parameters:

- `dtHours` (string)
- `dtMultiplier` (string)
- `hours` (string)
- `mode` (string)
- `otHours` (string)
- `otMultiplier` (string)
- `periods` (integer)
- `rate` (string, required)
- `regularHours` (string)
- `weeklyThreshold` (string)

### `prorate` (~150 tokens)

Input parameters:

- `amount` (string, required)
- `periodEnd` (string, required)
- `periodStart` (string, required)
- `useEnd` (string, required)
- `useStart` (string, required)

### `markup_margin` (~191 tokens)

Input parameters:

- `cost` (string)
- `discounts` (array)
- `marginPct` (string)
- `markupPct` (string)
- `mode` (string)
- `price` (string)

### `text_width` (~149 tokens)

Input parameters:

- `font` (string)
- `size` (string)
- `text` (string, required)

### `text_wrap` (~163 tokens)

Input parameters:

- `font` (string)
- `size` (string)
- `text` (string, required)
- `width` (string, required)

### `text_ellipsis` (~137 tokens)

Input parameters:

- `font` (string)
- `size` (string)
- `text` (string, required)
- `width` (string, required)

### `text_fit` (~179 tokens)

Input parameters:

- `font` (string)
- `maxSize` (string)
- `minSize` (string)
- `step` (string)
- `text` (string, required)
- `width` (string, required)

### `text_block` (~164 tokens)

Input parameters:

- `font` (string)
- `leading` (string)
- `size` (string)
- `text` (string, required)
- `width` (string, required)

### `isbn_validate` (~145 tokens)

Input parameters:

- `value` (string, required)

### `issn_validate` (~90 tokens)

Input parameters:

- `value` (string, required)

### `imei_validate` (~121 tokens)

Input parameters:

- `value` (string, required)

### `ean_validate` (~127 tokens)

Input parameters:

- `value` (string, required)

### `isin_validate` (~152 tokens)

Input parameters:

- `value` (string, required)

### `cusip_validate` (~143 tokens)

Input parameters:

- `value` (string, required)

### `figi_validate` (~126 tokens)

Input parameters:

- `value` (string, required)

### `lei_validate` (~112 tokens)

Input parameters:

- `value` (string, required)

### `creditor_ref` (~131 tokens)

Input parameters:

- `value` (string, required)

### `container_check` (~136 tokens)

Input parameters:

- `value` (string, required)

### `cas_validate` (~132 tokens)

Input parameters:

- `value` (string, required)

### `meid_validate` (~136 tokens)

Input parameters:

- `value` (string, required)

### `resistor_code` (~389 tokens)

Input parameters:

- `bands` (string)
- `count` (integer)
- `ohms` (string)
- `tempco` (integer)
- `tolerance` (string)

### `ohm_law` (~183 tokens)

Input parameters:

- `current` (string)
- `power` (string)
- `resistance` (string)
- `voltage` (string)

### `voltage_divider` (~159 tokens)

Input parameters:

- `r1` (string, required)
- `r2` (string, required)
- `vin` (string, required)

### `resistor_network` (~113 tokens)

Input parameters:

- `mode` (string, required)
- `values` (array, required)

### `led_resistor` (~172 tokens)

Input parameters:

- `current` (string, required)
- `forward` (string, required)
- `series` (integer)
- `supply` (string, required)

### `mac_address` (~140 tokens)

Input parameters:

- `value` (string, required)

### `eui64` (~151 tokens)

Input parameters:

- `value` (string, required)

### `slaac_address` (~152 tokens)

Input parameters:

- `mac` (string, required)
- `prefix` (string, required)

### `solicited_node` (~140 tokens)

Input parameters:

- `address` (string)
- `mac` (string)

### `mac_local` (~107 tokens)

Input parameters:

- `seed` (string, required)

### `css_length` (~166 tokens)

Input parameters:

- `value` (string, required)

### `css_angle` (~118 tokens)

Input parameters:

- `value` (string, required)

### `css_time` (~86 tokens)

Input parameters:

- `value` (string, required)

### `css_resolution` (~113 tokens)

Input parameters:

- `value` (string, required)

### `selector_specificity` (~233 tokens)

Input parameters:

- `against` (string)
- `selector` (string, required)

### `file_mode` (~135 tokens)

Input parameters:

- `value` (string, required)

### `chmod_apply` (~223 tokens)

Input parameters:

- `directory` (boolean)
- `mode` (string, required)
- `spec` (string, required)
- `umask` (string)

### `umask_mode` (~121 tokens)

Input parameters:

- `kind` (string)
- `umask` (string, required)

### `permission_check` (~121 tokens)

Input parameters:

- `mode` (string, required)
- `op` (string, required)
- `who` (string, required)

### `mode_diff` (~95 tokens)

Input parameters:

- `from` (string, required)
- `to` (string, required)

### `float_bits` (~152 tokens)

Input parameters:

- `bits` (string)
- `value` (string)
- `width` (integer)

### `float_round` (~142 tokens)

Input parameters:

- `mode` (string)
- `value` (string, required)
- `width` (integer)

### `float_next` (~130 tokens)

Input parameters:

- `bits` (string)
- `dir` (string, required)
- `value` (string)
- `width` (integer)

### `float_ulp` (~120 tokens)

Input parameters:

- `bits` (string)
- `value` (string)
- `width` (integer)

### `float_order` (~152 tokens)

Input parameters:

- `form` (string)
- `left` (string, required)
- `right` (string, required)
- `width` (integer)

### `midi_note` (~132 tokens)

Input parameters:

- `note` (string, required)

### `music_interval` (~119 tokens)

Input parameters:

- `from` (string, required)
- `to` (string, required)

### `music_transpose` (~134 tokens)

Input parameters:

- `dir` (string, required)
- `note` (string, required)
- `number` (integer, required)
- `quality` (string, required)

### `music_scale` (~133 tokens)

Input parameters:

- `mode` (string, required)
- `note` (string, required)

### `music_chord` (~130 tokens)

Input parameters:

- `note` (string, required)
- `quality` (string, required)

### `paper_size` (~119 tokens)

Input parameters:

- `landscape` (boolean)
- `name` (string, required)

### `paper_next` (~98 tokens)

Input parameters:

- `name` (string, required)

### `paper_fit` (~115 tokens)

Input parameters:

- `inner` (string, required)
- `outer` (string, required)

### `paper_scale` (~102 tokens)

Input parameters:

- `onto` (string, required)
- `sheet` (string, required)

### `envelope_fit` (~113 tokens)

Input parameters:

- `name` (string, required)

### `timecode_frames` (~147 tokens)

Input parameters:

- `code` (string, required)
- `rate` (integer)

### `frames_timecode` (~118 tokens)

Input parameters:

- `drop` (boolean)
- `frames` (integer, required)
- `rate` (integer)

### `timecode_add` (~112 tokens)

Input parameters:

- `add` (integer, required)
- `code` (string, required)
- `rate` (integer)

### `timecode_diff` (~114 tokens)

Input parameters:

- `from` (string, required)
- `rate` (integer)
- `to` (string, required)

### `timecode_duration` (~145 tokens)

Input parameters:

- `code` (string)
- `drop` (boolean)
- `frames` (integer)
- `rate` (integer)

### `crc16` (~123 tokens)

Input parameters:

- `algorithm` (string)
- `hex` (string)
- `text` (string)

### `fletcher16` (~96 tokens)

Input parameters:

- `hex` (string)
- `text` (string)

### `fletcher32` (~104 tokens)

Input parameters:

- `hex` (string)
- `text` (string)

### `inet_checksum` (~117 tokens)

Input parameters:

- `hex` (string)
- `text` (string)

### `byte_sum` (~143 tokens)

Input parameters:

- `algorithm` (string)
- `hex` (string)
- `text` (string)

### `cf_expand` (~121 tokens)

Input parameters:

- `value` (string, required)

### `cf_value` (~120 tokens)

Input parameters:

- `terms` (array, required)

### `cf_convergent` (~105 tokens)

Input parameters:

- `index` (integer, required)
- `terms` (array, required)

### `cf_best` (~112 tokens)

Input parameters:

- `maxDen` (integer, required)
- `value` (string, required)

### `cf_sqrt` (~131 tokens)

Input parameters:

- `count` (integer)
- `s` (integer, required)

### `morse_encode` (~101 tokens)

Input parameters:

- `text` (string, required)

### `morse_decode` (~84 tokens)

Input parameters:

- `code` (string, required)

### `morse_timing` (~118 tokens)

Input parameters:

- `text` (string, required)
- `wpm` (integer)

### `bezier_cubic` (~124 tokens)

Input parameters:

- `points` (array, required)
- `t` (string, required)

### `bezier_quadratic` (~108 tokens)

Input parameters:

- `points` (array, required)
- `t` (string, required)

### `bezier_split` (~99 tokens)

Input parameters:

- `points` (array, required)
- `t` (string, required)

### `bezier_derivative` (~93 tokens)

Input parameters:

- `points` (array, required)

### `bezier_tangent` (~122 tokens)

Input parameters:

- `points` (array, required)
- `t` (string, required)

### `quat_mul` (~93 tokens)

Input parameters:

- `a` (array, required)
- `b` (array, required)

### `quat_norm` (~107 tokens)

Input parameters:

- `q` (array, required)

### `quat_inv` (~111 tokens)

Input parameters:

- `q` (array, required)

### `quat_rotate` (~110 tokens)

Input parameters:

- `q` (array, required)
- `v` (array, required)

### `quat_pow` (~106 tokens)

Input parameters:

- `exp` (integer, required)
- `q` (array, required)

### `perm_sign` (~99 tokens)

Input parameters:

- `perm` (array, required)

### `perm_inverse` (~97 tokens)

Input parameters:

- `perm` (array, required)

### `perm_compose` (~101 tokens)

Input parameters:

- `a` (array, required)
- `b` (array, required)

### `perm_next` (~104 tokens)

Input parameters:

- `perm` (array, required)

### `perm_rank` (~133 tokens)

Input parameters:

- `n` (integer)
- `perm` (array)
- `rank` (integer)

### `pell` (~125 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `pell_lucas` (~125 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `pell_equation` (~120 tokens)

Input parameters:

- `n` (integer, required)
- `norm` (integer)

### `pell_sum` (~112 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)
- `seq` (string)

### `pell_compose` (~109 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `binom` (~115 tokens)

Input parameters:

- `k` (integer, required)
- `mod` (string)
- `n` (integer, required)

### `catalan` (~128 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `ballot` (~123 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `dyck_word` (~96 tokens)

Input parameters:

- `word` (string, required)

### `motzkin` (~128 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `mod_pow` (~111 tokens)

Input parameters:

- `base` (string, required)
- `exp` (string, required)
- `mod` (string, required)

### `mod_inv` (~104 tokens)

Input parameters:

- `a` (string, required)
- `mod` (string, required)

### `crt` (~108 tokens)

Input parameters:

- `a` (array, required)
- `m` (array, required)

### `jacobi` (~99 tokens)

Input parameters:

- `a` (string, required)
- `n` (string, required)

### `egcd` (~107 tokens)

Input parameters:

- `a` (string, required)
- `b` (string, required)

### `pythag_gen` (~144 tokens)

Input parameters:

- `k` (integer, required)
- `m` (integer, required)
- `n` (integer, required)

### `pythag_check` (~118 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)

### `heron_area` (~115 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)

### `cosine_law` (~113 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)

### `triangle_shape` (~116 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)

### `stern` (~117 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `calkin_wilf` (~129 tokens)

Input parameters:

- `den` (integer)
- `n` (integer)
- `num` (integer)

### `mediant` (~113 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)
- `d` (integer, required)

### `farey_adjacent` (~115 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)
- `d` (integer, required)

### `farey_child` (~122 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `c` (integer, required)
- `d` (integer, required)

### `partition` (~120 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `partition_distinct` (~122 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `pentagonal` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `partition_conjugate` (~95 tokens)

Input parameters:

- `parts` (array, required)

### `partition_parts` (~94 tokens)

Input parameters:

- `parts` (array, required)

### `base_convert` (~118 tokens)

Input parameters:

- `from` (integer, required)
- `to` (integer, required)
- `value` (string, required)

### `digit_sum` (~90 tokens)

Input parameters:

- `n` (string, required)

### `digital_root` (~105 tokens)

Input parameters:

- `n` (string, required)

### `digit_rev` (~91 tokens)

Input parameters:

- `n` (string, required)

### `repunit` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `gray_encode` (~91 tokens)

Input parameters:

- `n` (string, required)

### `gray_decode` (~86 tokens)

Input parameters:

- `g` (string, required)

### `gray_next` (~84 tokens)

Input parameters:

- `g` (string, required)

### `gray_flip` (~93 tokens)

Input parameters:

- `n` (string, required)

### `gray_bits` (~104 tokens)

Input parameters:

- `n` (string, required)
- `width` (integer, required)

### `poly_add` (~104 tokens)

Input parameters:

- `a` (array, required)
- `b` (array, required)
- `mod` (string)

### `poly_mul` (~109 tokens)

Input parameters:

- `a` (array, required)
- `b` (array, required)
- `mod` (string)

### `poly_eval` (~101 tokens)

Input parameters:

- `a` (array, required)
- `mod` (string)
- `x` (integer, required)

### `poly_deriv` (~97 tokens)

Input parameters:

- `a` (array, required)
- `mod` (string)

### `poly_div` (~98 tokens)

Input parameters:

- `a` (array, required)
- `b` (array, required)

### `totient` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `mobius` (~100 tokens)

Input parameters:

- `n` (integer, required)

### `divisor_count` (~95 tokens)

Input parameters:

- `n` (integer, required)

### `divisor_sum` (~100 tokens)

Input parameters:

- `n` (integer, required)

### `prime_check` (~86 tokens)

Input parameters:

- `n` (integer, required)

### `egypt_greedy` (~109 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `unit_sum` (~82 tokens)

Input parameters:

- `dens` (array, required)

### `harmonic` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `sylvester` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `egypt_check` (~104 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `dens` (array, required)

### `jacobsthal` (~133 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `jacobsthal_lucas` (~136 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `jacobsthal_sum` (~121 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)
- `seq` (string)

### `jacobsthal_add` (~107 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `jacobsthal_power` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `padovan` (~132 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `perrin` (~127 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `padovan_sum` (~113 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)
- `seq` (string)

### `perrin_divide` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `padovan_step` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `stirling2` (~137 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `bell` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `stirling2_row` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `bell_sum` (~101 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `stirling2_rec` (~124 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `delannoy` (~138 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `delannoy_central` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `schroder` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `schroder_little` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `delannoy_sum` (~120 tokens)

Input parameters:

- `hi` (integer, required)
- `m` (integer, required)

### `narayana` (~119 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `narayana_row` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `narayana_check` (~110 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `fuss_catalan` (~137 tokens)

Input parameters:

- `n` (integer, required)
- `p` (integer, required)

### `fuss_check` (~121 tokens)

Input parameters:

- `n` (integer, required)
- `p` (integer, required)

### `chebyshev_t` (~142 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `chebyshev_u` (~144 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `chebyshev_disc` (~123 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `chebyshev_prod` (~122 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `x` (integer, required)

### `chebyshev_rec` (~122 tokens)

Input parameters:

- `kind` (string)
- `n` (integer, required)
- `x` (integer, required)

### `tribonacci` (~128 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `trib_sum` (~104 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `trib_step` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `trib_index` (~112 tokens)

Input parameters:

- `value` (string, required)

### `trib_mod` (~99 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `thue_morse` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `thue_sum` (~118 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `thue_prefix` (~95 tokens)

Input parameters:

- `n` (integer, required)

### `thue_cube` (~120 tokens)

Input parameters:

- `bits` (string, required)

### `thue_weight` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `rudin_shapiro` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `baum_sweet` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `paperfold` (~135 tokens)

Input parameters:

- `n` (integer, required)

### `golay_rudin` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `morse_run` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `lucas` (~136 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `lucas_sum` (~120 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `lucas_index` (~113 tokens)

Input parameters:

- `value` (string, required)

### `lucas_mod` (~101 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `lucas_disc` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `ruler` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `ruler_sum` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `ruler_prefix` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `ruler_max` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `ruler_odd` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_step` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_length` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_peak` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_parity` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_glide` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff_upper` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff_pair` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff_inverse` (~113 tokens)

Input parameters:

- `m` (integer, required)

### `beatty` (~119 tokens)

Input parameters:

- `d` (integer, required)
- `n` (integer, required)

### `kolakoski` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `kolakoski_prefix` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `kolakoski_sum` (~96 tokens)

Input parameters:

- `n` (integer, required)

### `kolakoski_run` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `kolakoski_check` (~110 tokens)

Input parameters:

- `bits` (string, required)

### `carmichael` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `jordan_totient` (~139 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `dedekind_psi` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `aliquot` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `perfect_check` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `hermite` (~151 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `hermite_prob` (~141 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `laguerre` (~138 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `legendre_pol` (~126 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `hermite_deriv` (~129 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `stirling1` (~141 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `stirling1_unsigned` (~125 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `stirling1_row` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `stirling1_rec` (~144 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `subfactorial` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `zeckendorf` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `zeckendorf_sum` (~128 tokens)

Input parameters:

- `indices` (array, required)

### `zeckendorf_bits` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `fibword` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `fibword_prefix` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `little_omega` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `big_omega` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `radical` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `sopfr` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `squarefree` (~96 tokens)

Input parameters:

- `n` (integer, required)

### `bernoulli` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `bernoulli_denom` (~124 tokens)

Input parameters:

- `m` (integer, required)

### `von_staudt` (~127 tokens)

Input parameters:

- `m` (integer, required)

### `tangent_number` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `bernoulli_sum` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `isqrt` (~108 tokens)

Input parameters:

- `n` (string, required)

### `icbrt` (~112 tokens)

Input parameters:

- `n` (string, required)

### `isquare` (~100 tokens)

Input parameters:

- `n` (string, required)

### `ipow` (~123 tokens)

Input parameters:

- `base` (string, required)
- `exp` (integer, required)

### `perfect_power` (~135 tokens)

Input parameters:

- `n` (string, required)

### `recaman` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `recaman_seen` (~119 tokens)

Input parameters:

- `limit` (integer, required)
- `value` (integer, required)

### `golomb` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `golomb_sum` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `golomb_inverse` (~104 tokens)

Input parameters:

- `k` (integer, required)

### `hockey_stick` (~126 tokens)

Input parameters:

- `n` (integer, required)
- `r` (integer, required)

### `vandermonde` (~139 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)
- `r` (integer, required)

### `stars_bars` (~120 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `multichoose` (~125 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `kummer` (~148 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `p` (integer, required)

### `double_factorial` (~128 tokens)

Input parameters:

- `n` (integer, required)

### `primorial` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `falling` (~136 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `rising` (~130 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `factorial_mod` (~119 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `sl2_mul` (~140 tokens)

Input parameters:

- `left` (array, required)
- `right` (array, required)

### `sl2_pow` (~164 tokens)

Input parameters:

- `exp` (integer, required)
- `matrix` (array, required)

### `sl2_det` (~118 tokens)

Input parameters:

- `matrix` (array, required)

### `sl2_inv` (~111 tokens)

Input parameters:

- `matrix` (array, required)

### `sl2_trace` (~118 tokens)

Input parameters:

- `matrix` (array, required)

### `frobenius` (~136 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `coin_count` (~125 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `coin_check` (~127 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `n` (integer, required)

### `coin_ways` (~143 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `n` (integer, required)

### `coin_min` (~129 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)
- `n` (integer, required)

### `look_say` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `look_say_step` (~117 tokens)

Input parameters:

- `digits` (string, required)

### `look_say_len` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `look_say_digit` (~116 tokens)

Input parameters:

- `i` (integer, required)
- `n` (integer, required)

### `look_say_count` (~137 tokens)

Input parameters:

- `digit` (integer, required)
- `n` (integer, required)

### `hof_q` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `hof_q_sum` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `hof_q_prefix` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `hof_g` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `hof_h` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `hof_conway` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `hof_conway_sum` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `hof_male` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `hof_female` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `hof_pair` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `tetranacci` (~144 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `tetranacci_sum` (~121 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `tetranacci_mod` (~110 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `tetranacci_index` (~118 tokens)

Input parameters:

- `value` (string, required)

### `tetranacci_step` (~142 tokens)

Input parameters:

- `n` (integer, required)

### `pentanacci` (~138 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `pentanacci_sum` (~119 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `pentanacci_mod` (~108 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `pentanacci_index` (~116 tokens)

Input parameters:

- `value` (string, required)

### `pentanacci_step` (~153 tokens)

Input parameters:

- `n` (integer, required)

### `leonardo` (~150 tokens)

Input parameters:

- `mod` (string)
- `n` (integer, required)

### `leonardo_sum` (~120 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `leonardo_mod` (~105 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `leonardo_index` (~113 tokens)

Input parameters:

- `value` (string, required)

### `leonardo_fib` (~147 tokens)

Input parameters:

- `n` (integer, required)

### `euler_zigzag` (~147 tokens)

Input parameters:

- `n` (integer, required)

### `euler_zigzag_sum` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `entringer` (~163 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `genocchi` (~149 tokens)

Input parameters:

- `n` (integer, required)

### `euler_secant` (~137 tokens)

Input parameters:

- `n` (integer, required)

### `involution` (~135 tokens)

Input parameters:

- `n` (integer, required)

### `involution_sum` (~120 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `involution_mod` (~100 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `rencontres` (~136 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `involution_fixed` (~148 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `fubini` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `fubini_sum` (~122 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `fubini_mod` (~104 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `lah` (~158 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `lah_row` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `riordan` (~152 tokens)

Input parameters:

- `n` (integer, required)

### `riordan_sum` (~120 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `riordan_mod` (~105 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `fine` (~154 tokens)

Input parameters:

- `n` (integer, required)

### `fine_sum` (~117 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `period_double` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `period_double_prefix` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `period_double_sum` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `cantor_bit` (~127 tokens)

Input parameters:

- `n` (integer, required)

### `cantor_count` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `two_squares` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `two_squares_pair` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `three_squares` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `four_squares` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `square_obstruction` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `liouville` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `liouville_sum` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `mertens` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `mertens_max` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `prime_power` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `square_part` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `square_free_part` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `powerful` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `cubefull` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `achilles` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `sigma_k` (~140 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `abundancy` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `deficiency` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `unitary_sigma` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `unitary_count` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `happy` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `harshad` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `harshad_base` (~135 tokens)

Input parameters:

- `base` (integer, required)
- `n` (integer, required)

### `additive_persistence` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `multiplicative_persistence` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `wedderburn` (~144 tokens)

Input parameters:

- `n` (integer, required)

### `wedderburn_sum` (~126 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `wedderburn_mod` (~111 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `wedderburn_index` (~121 tokens)

Input parameters:

- `value` (string, required)

### `wedderburn_split` (~143 tokens)

Input parameters:

- `n` (integer, required)

### `alt_factorial` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `alt_sum` (~118 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `kurepa` (~135 tokens)

Input parameters:

- `n` (integer, required)

### `superfactorial` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `kurepa_mod` (~119 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `next_prime` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `prev_prime` (~100 tokens)

Input parameters:

- `n` (integer, required)

### `prime_count` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `prime_nth` (~107 tokens)

Input parameters:

- `k` (integer, required)

### `prime_gap` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `popcount` (~94 tokens)

Input parameters:

- `n` (integer, required)

### `bit_length` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `bit_reverse` (~126 tokens)

Input parameters:

- `n` (integer, required)
- `width` (integer, required)

### `hamming_dist` (~111 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `bit_subset` (~126 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `kronecker` (~137 tokens)

Input parameters:

- `a` (integer, required)
- `n` (integer, required)

### `legendre_symbol` (~144 tokens)

Input parameters:

- `a` (integer, required)
- `p` (integer, required)

### `quadratic_residue` (~119 tokens)

Input parameters:

- `a` (integer, required)
- `p` (integer, required)

### `padic` (~128 tokens)

Input parameters:

- `n` (integer, required)
- `p` (integer, required)

### `factorial_valuation` (~131 tokens)

Input parameters:

- `n` (integer, required)
- `p` (integer, required)

### `mult_order` (~130 tokens)

Input parameters:

- `a` (integer, required)
- `n` (integer, required)

### `primitive_root` (~114 tokens)

Input parameters:

- `g` (integer, required)
- `p` (integer, required)

### `least_primitive_root` (~110 tokens)

Input parameters:

- `p` (integer, required)

### `mod_inverse` (~138 tokens)

Input parameters:

- `a` (integer, required)
- `m` (integer, required)

### `power_mod` (~165 tokens)

Input parameters:

- `a` (integer, required)
- `e` (integer, required)
- `m` (integer, required)

### `eulerian` (~146 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `eulerian_row` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `eulerian_sum` (~141 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)
- `n` (integer, required)

### `eulerian_mod` (~123 tokens)

Input parameters:

- `k` (integer, required)
- `mod` (string, required)
- `n` (integer, required)

### `eulerian_poly` (~146 tokens)

Input parameters:

- `n` (integer, required)
- `x` (integer, required)

### `central_binomial` (~127 tokens)

Input parameters:

- `n` (integer, required)

### `central_sum` (~118 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `central_mod` (~107 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `central_index` (~113 tokens)

Input parameters:

- `value` (string, required)

### `central_ratio` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `practical` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `practical_count` (~91 tokens)

Input parameters:

- `n` (integer, required)

### `semiperfect` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `weird` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `amicable` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `landau` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `landau_sum` (~109 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `landau_mod` (~120 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `landau_index` (~114 tokens)

Input parameters:

- `value` (string, required)

### `range_lcm` (~121 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `lucky` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `lucky_nth` (~109 tokens)

Input parameters:

- `k` (integer, required)

### `lucky_count` (~97 tokens)

Input parameters:

- `n` (integer, required)

### `lucky_next` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `lucky_twin` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `hexanacci` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `hexanacci_sum` (~122 tokens)

Input parameters:

- `hi` (integer, required)
- `lo` (integer, required)

### `hexanacci_mod` (~123 tokens)

Input parameters:

- `mod` (string, required)
- `n` (integer, required)

### `hexanacci_index` (~118 tokens)

Input parameters:

- `value` (string, required)

### `hexanacci_step` (~137 tokens)

Input parameters:

- `n` (integer, required)

### `largest_prime_factor` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `smallest_prime_factor` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `smooth` (~113 tokens)

Input parameters:

- `n` (integer, required)
- `y` (integer, required)

### `rough` (~119 tokens)

Input parameters:

- `n` (integer, required)
- `y` (integer, required)

### `powersmooth` (~130 tokens)

Input parameters:

- `n` (integer, required)
- `y` (integer, required)

### `highly_composite` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `highly_composite_next` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `highly_composite_count` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `divisor_record` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `refactorable` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `subtraction_grundy` (~133 tokens)

Input parameters:

- `moves` (array, required)
- `n` (integer, required)

### `subtraction_win` (~123 tokens)

Input parameters:

- `moves` (array, required)
- `n` (integer, required)

### `subtraction_row` (~126 tokens)

Input parameters:

- `moves` (array, required)
- `n` (integer, required)

### `nim_sum` (~110 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `mex` (~124 tokens)

Input parameters:

- `values` (array, required)

### `cayley` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `cayley_rooted` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `prufer_encode` (~133 tokens)

Input parameters:

- `edges` (array, required)

### `prufer_decode` (~124 tokens)

Input parameters:

- `code` (array, required)

### `prufer_degree` (~123 tokens)

Input parameters:

- `code` (array, required)
- `vertex` (integer, required)

### `polygonal` (~152 tokens)

Input parameters:

- `n` (integer, required)
- `s` (integer, required)

### `polygonal_index` (~132 tokens)

Input parameters:

- `s` (integer, required)
- `value` (integer, required)

### `centered_polygonal` (~132 tokens)

Input parameters:

- `n` (integer, required)
- `s` (integer, required)

### `pronic` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `star_number` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `twin_prime` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `cousin_prime` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `sexy_prime` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `sophie_germain` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `safeprime` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `goldbach` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `goldbach_count` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `goldbach_check` (~117 tokens)

Input parameters:

- `n` (integer, required)
- `p` (integer, required)

### `levy` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `odd_goldbach` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `automorphic` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `trimorphic` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `narcissistic` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `dudeney` (~127 tokens)

Input parameters:

- `n` (integer, required)

### `factorion` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `smith` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `hoax` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `sphenic` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `almost_perfect` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `mersenne` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `mersenne_prime` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `fermat_number` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `fermat_prime` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `proth` (~140 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `wilson_quotient` (~126 tokens)

Input parameters:

- `p` (integer, required)

### `wilson_prime` (~122 tokens)

Input parameters:

- `p` (integer, required)

### `factorial_prime` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `primorial_prime` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `brocard` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `square_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `cube_sum` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `tetrahedral` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `lazy_caterer` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `cake_number` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `cullen` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `woodall` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `thabit` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `carol` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `kynea` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `hyperperfect` (~128 tokens)

Input parameters:

- `n` (integer, required)

### `multiperfect` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `triperfect` (~98 tokens)

Input parameters:

- `n` (integer, required)

### `betrothed` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `ore` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `leyland` (~125 tokens)

Input parameters:

- `x` (integer, required)
- `y` (integer, required)

### `wagstaff` (~114 tokens)

Input parameters:

- `p` (integer, required)

### `wagstaff_prime` (~120 tokens)

Input parameters:

- `p` (integer, required)

### `polite` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `polite_split` (~127 tokens)

Input parameters:

- `n` (integer, required)

### `totient_sum` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `farey_count` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `visible_points` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `gcd_sum` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `cototient` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `josephus` (~132 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `josephus_k2` (~131 tokens)

Input parameters:

- `n` (integer, required)

### `josephus_first` (~133 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `josephus_order` (~122 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `josephus_place` (~140 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)
- `seat` (integer, required)

### `fourth_sum` (~134 tokens)

Input parameters:

- `n` (integer, required)

### `fifth_sum` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `sixth_sum` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `seventh_sum` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `odd_square_sum` (~139 tokens)

Input parameters:

- `n` (integer, required)

### `cyclotomic` (~151 tokens)

Input parameters:

- `a` (integer, required)
- `n` (integer, required)

### `cyclotomic_one` (~136 tokens)

Input parameters:

- `n` (integer, required)

### `cyclotomic_neg` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `cyclotomic_coeff` (~129 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `cyclotomic_height` (~96 tokens)

Input parameters:

- `n` (integer, required)

### `sqrt_period` (~117 tokens)

Input parameters:

- `d` (integer, required)

### `sqrt_cf` (~125 tokens)

Input parameters:

- `d` (integer, required)

### `neg_pell` (~131 tokens)

Input parameters:

- `d` (integer, required)

### `sqrt_tail` (~116 tokens)

Input parameters:

- `d` (integer, required)

### `neg_pell_count` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `self_number` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `self_count` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `self_next` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `self_nth` (~104 tokens)

Input parameters:

- `k` (integer, required)

### `self_seed` (~113 tokens)

Input parameters:

- `m` (integer, required)

### `factoradic` (~143 tokens)

Input parameters:

- `n` (integer, required)

### `factoradic_decode` (~126 tokens)

Input parameters:

- `digits` (array, required)

### `factoradic_digit` (~138 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `factoradic_length` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `factoradic_sum` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `binary_partition` (~135 tokens)

Input parameters:

- `n` (integer, required)

### `binary_partition_sum` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `plane_partition` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `plane_partition_sum` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `overpartition` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `highly_abundant` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `superabundant` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `primitive_abundant` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `abundance` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `perfect_totient` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `balanced_prime` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `prime_triplet` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `prime_triplet_count` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `chen_prime` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `depolignac` (~126 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_derivative` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_second` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `derivative_fixed` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `sopf` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `ruth_aaron` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `mcnugget` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `mcnugget_ways` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `mcnugget_min` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `mcnugget_count` (~127 tokens)

Input parameters:

- `n` (integer, required)

### `mcnugget_miss` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_steps` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_max` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_next` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_drop` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `collatz_odd` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `squarefree_part` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `cubefree` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `fourth_free` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `squarefree_count` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `cubefree_count` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff_lower` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `wythoff_kind` (~112 tokens)

Input parameters:

- `m` (integer, required)

### `wythoff_sum` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `beatty_sqrt2` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `beatty_sqrt2_comp` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `moser` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `moser_sum` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `moser_check` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `moser_index` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `moser_count` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `hofstadter` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `hofstadter_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `hofstadter_f` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `hofstadter_m` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `hofstadter_conway` (~137 tokens)

Input parameters:

- `n` (integer, required)

### `euclid_mullin` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `euclid_mullin_prod` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `euclid_mullin_sum` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `euclid_mullin_cofactor` (~132 tokens)

Input parameters:

- `n` (integer, required)

### `euclid_mullin_index` (~121 tokens)

Input parameters:

- `p` (integer, required)

### `e_cf_term` (~132 tokens)

Input parameters:

- `n` (integer, required)

### `e_cf_sum` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `e_cf_prefix` (~132 tokens)

Input parameters:

- `n` (integer, required)

### `e_convergent` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `e_series` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `keith` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `keith_row` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `keith_steps` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `keith_count` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `keith_next` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `cube_min` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `cube_ways` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `two_cubes` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `taxicab` (~100 tokens)

Input parameters:

- `n` (integer, required)

### `taxicab_count` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `palindrome` (~95 tokens)

Input parameters:

- `n` (integer, required)

### `reverse_add` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `palindrome_steps` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `palindrome_reach` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `lychrel` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar_step` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar_steps` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar_chain` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar_repdigit` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `kaprekar_kernel` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `factor_digits` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `frugal` (~95 tokens)

Input parameters:

- `n` (integer, required)

### `equidigital` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `extravagant` (~96 tokens)

Input parameters:

- `n` (integer, required)

### `frugal_count` (~100 tokens)

Input parameters:

- `n` (integer, required)

### `zuckerman` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `zuckerman_count` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `lynch_bell` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `polydivisible` (~117 tokens)

Input parameters:

- `n` (integer, required)

### `polydivisible_count` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `vampire` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `vampire_fangs` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `vampire_low` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `vampire_count` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `vampire_next` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `home_prime` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `home_prime_steps` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `factor_concat` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `home_prime_len` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `home_grows` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `champernowne_digit` (~120 tokens)

Input parameters:

- `pos` (integer, required)

### `champernowne_owner` (~115 tokens)

Input parameters:

- `pos` (integer, required)

### `champernowne_place` (~120 tokens)

Input parameters:

- `pos` (integer, required)

### `champernowne_start` (~115 tokens)

Input parameters:

- `m` (integer, required)

### `champernowne_len` (~122 tokens)

Input parameters:

- `m` (integer, required)

### `complexity` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `complexity_sum` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `complexity_max` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `complexity_count` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `complexity_least` (~112 tokens)

Input parameters:

- `k` (integer, required)

### `zumkeller` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `zumkeller_half` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `zumkeller_subset` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `zumkeller_count` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `zumkeller_odd` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `juggler_step` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `juggler_steps` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `juggler_max` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `juggler_odd` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `juggler_chain` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `narayana_cows` (~136 tokens)

Input parameters:

- `n` (integer, required)

### `cows_sum` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `cows_next` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `cows_index` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `cows_mod` (~116 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `digit_power_sum` (~146 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `pdi` (~141 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `pdi_count` (~145 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `munchausen` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `munchausen_sum` (~136 tokens)

Input parameters:

- `n` (integer, required)

### `negabinary` (~119 tokens)

Input parameters:

- `n` (integer, required)

### `negabinary_decode` (~119 tokens)

Input parameters:

- `bits` (string, required)

### `negabinary_digit` (~146 tokens)

Input parameters:

- `n` (integer, required)
- `place` (integer, required)

### `negabinary_len` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `negabinary_bits` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `balanced_ternary` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `ternary_value` (~120 tokens)

Input parameters:

- `digits` (string, required)

### `ternary_digit` (~152 tokens)

Input parameters:

- `n` (integer, required)
- `place` (integer, required)

### `ternary_len` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `ternary_nonzero` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `hamming` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `hamming_nth` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `hamming_count` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `hamming_next` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `hamming_index` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `moran` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `moran_ratio` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `moran_count` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `moran_next` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `moran_sum` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `smarandache` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `smarandache_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `smarandache_quot` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `smarandache_gap` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `smarandache_least` (~119 tokens)

Input parameters:

- `k` (integer, required)

### `alternating_factorial` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `alternating_sum` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `alternating_prime` (~118 tokens)

Input parameters:

- `n` (integer, required)

### `alternating_mod` (~126 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `alternating_next` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `fibbinary` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `fibbinary_next` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `fibbinary_count` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `fibbinary_nth` (~129 tokens)

Input parameters:

- `n` (integer, required)

### `fibbinary_index` (~130 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_number` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_mean` (~128 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_count` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_next` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `arithmetic_sum` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `apery` (~136 tokens)

Input parameters:

- `n` (integer, required)

### `apery_sum` (~107 tokens)

Input parameters:

- `n` (integer, required)

### `apery_mod` (~124 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `apery_term` (~129 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `apery_prime` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `franel` (~128 tokens)

Input parameters:

- `n` (integer, required)

### `franel_sum` (~115 tokens)

Input parameters:

- `n` (integer, required)

### `franel_mod` (~123 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `franel_gcd` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `franel_central` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `trinomial` (~135 tokens)

Input parameters:

- `n` (integer, required)

### `trinomial_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `trinomial_mod` (~124 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `trinomial_term` (~132 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `trinomial_prime` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `domb` (~146 tokens)

Input parameters:

- `n` (integer, required)

### `domb_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `domb_mod` (~124 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `domb_gcd` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `domb_term` (~144 tokens)

Input parameters:

- `k` (integer, required)
- `n` (integer, required)

### `octahedral` (~104 tokens)

Input parameters:

- `n` (integer, required)

### `octahedral_sum` (~114 tokens)

Input parameters:

- `n` (integer, required)

### `octahedral_index` (~122 tokens)

Input parameters:

- `n` (integer, required)

### `octahedral_next` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `octahedral_mod` (~129 tokens)

Input parameters:

- `m` (integer, required)
- `n` (integer, required)

### `egyptian` (~132 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `egyptian_length` (~135 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `egyptian_first` (~129 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `egyptian_last` (~130 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `egyptian_sum` (~134 tokens)

Input parameters:

- `a` (integer, required)
- `b` (integer, required)

### `exp_sigma` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `exp_count` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `exp_divisors` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `exp_perfect` (~102 tokens)

Input parameters:

- `n` (integer, required)

### `exp_next` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `infinitary_sigma` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `infinitary_count` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `infinitary_perfect` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `infinitary_abundant` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `infinitary_deficient` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `duffinian` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `duffinian_gcd` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `duffinian_count` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `duffinian_next` (~105 tokens)

Input parameters:

- `n` (integer, required)

### `duffinian_sum` (~116 tokens)

Input parameters:

- `n` (integer, required)

### `sociable` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `sociable_length` (~120 tokens)

Input parameters:

- `n` (integer, required)

### `sociable_min` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `sociable_sum` (~110 tokens)

Input parameters:

- `n` (integer, required)

### `sociable_chain` (~123 tokens)

Input parameters:

- `n` (integer, required)

### `pierpont` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `pierpont_prime` (~124 tokens)

Input parameters:

- `n` (integer, required)

### `pierpont_count` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `pierpont_next` (~103 tokens)

Input parameters:

- `n` (integer, required)

### `pierpont_powers` (~133 tokens)

Input parameters:

- `n` (integer, required)

### `parking` (~114 tokens)

Input parameters:

- `prefs` (array, required)

### `parking_spots` (~134 tokens)

Input parameters:

- `prefs` (array, required)

### `parking_shift` (~125 tokens)

Input parameters:

- `prefs` (array, required)

### `parking_moved` (~123 tokens)

Input parameters:

- `prefs` (array, required)

### `parking_witness` (~129 tokens)

Input parameters:

- `prefs` (array, required)

### `blum` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `blum_factors` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `blum_count` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `blum_next` (~101 tokens)

Input parameters:

- `n` (integer, required)

### `blum_sum` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `carmichael_number` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `carmichael_factors` (~125 tokens)

Input parameters:

- `n` (integer, required)

### `carmichael_count` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `carmichael_next` (~109 tokens)

Input parameters:

- `n` (integer, required)

### `carmichael_sum` (~121 tokens)

Input parameters:

- `n` (integer, required)

### `biunitary_sigma` (~134 tokens)

Input parameters:

- `n` (integer, required)

### `biunitary_count` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `biunitary_perfect` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `biunitary_abundant` (~108 tokens)

Input parameters:

- `n` (integer, required)

### `biunitary_deficient` (~112 tokens)

Input parameters:

- `n` (integer, required)

### `higgs` (~99 tokens)

Input parameters:

- `n` (integer, required)

### `higgs_count` (~113 tokens)

Input parameters:

- `n` (integer, required)

### `higgs_next` (~106 tokens)

Input parameters:

- `n` (integer, required)

### `higgs_index` (~111 tokens)

Input parameters:

- `n` (integer, required)

### `higgs_gap` (~115 tokens)

Input parameters:

- `n` (integer, required)

## Diagnostics

Captured diagnostic sections: TLS, DNSSEC, Authorisation, Transports. The full working is on the page: https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp#diagnostics

## Score history

- 2026-11-05: 70
- 2026-11-04: 69
- 2026-11-03: 69
- 2026-11-02: 68
- 2026-11-01: 68
- 2026-10-31: 68
- 2026-10-30: 67
- 2026-10-29: 67
- 2026-10-28: 66
- 2026-10-27: 66
- 2026-10-26: 65
- 2026-10-25: 65
- 2026-10-24: 64
- 2026-10-23: 66

## Common questions

### What is the ScorpTech x402 API MCP server?

ScorpTech x402 API is an MCP server listed in the public MCP registry as com.it.scorptech/x402. 112 x402 pay-per-call tools: web data, security/OSINT, SEC and public data, Solana/EVM lookups. This page covers its hosted endpoint (https://scorptech.it.com/api/x402/mcp).

### Is the ScorpTech x402 API MCP server safe to use?

ScorpTech x402 API scores 70 out of 100 on VerifyMCP. That is a record of what we were able to check automatically, not an endorsement. The category breakdown on this page shows every signal behind the number, including the ones we could not confirm.

### Does the ScorpTech x402 API MCP server require authentication?

No. We connected to ScorpTech x402 API without credentials and it answered, so anything it exposes is reachable by anyone who knows the address.

### Is the ScorpTech x402 API MCP server still maintained?

ScorpTech x402 API is still listed as active in the MCP registry. We last reached this channel on 5 November 2026. Those dates come from our own scans of the registry and the channel itself, not from anything the publisher announced.

## Links

- Remote endpoint: https://scorptech.it.com/api/x402/mcp
- Website: https://scorptech.it.com/api/x402/docs
- Changelog RSS feed: https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp.xml
- Changelog JSON feed: https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp.json
- HTML version of this page: https://verifymcp.io/servers/com-it-scorptech-x402/api-x402-mcp