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Factor Concat

factor_concat
Read-onlyIdempotent

One concatenation of the prime factors of n, repeats included and primes left unchanged. 2 gives 2, 4 gives 22, 8 gives 222, 9 gives 33, and 10 gives 25. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factor-concat

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "factor_concat"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.8/5.0
Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare readOnly, idempotent, non-destructive and open-world, so the description doesn't need to re-litigate safety. It adds genuinely non-obvious behavior: the $0.001 USDC per successful call x402 payment on Solana and the equivalent HTTPS endpoint. Only error/failure-cost behavior is left unspecified.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The defining sentence and examples come first, followed by the domain and payment terms. Payment/endpoint details are relevant for an x402 tool rather than filler, though the price sentence is a bit dense.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a one-parameter, read-only math tool with no output schema, the description supplies the operation semantics, sample outputs, domain limits, cost, and an alternate transport. Nothing essential is missing, though failure/payment-failure behavior is unstated.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must carry the parameter meaning, and it does: it defines n's range (2 to 10000) and demonstrates the mapping from n to output with five concrete examples. It partially duplicates the schema's min/max, which keeps it from a 5.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb and resource ('concatenation of the prime factors of n') and pins down the ambiguous cases with 'repeats included and primes left unchanged'. Worked examples (4 -> 22, 10 -> 25) make the operation unambiguous. It does not name a sibling such as factor_digits or largest_prime_factor to differentiate itself explicitly, so it stops short of a 5.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The valid domain (n from 2 to 10000) and examples convey when the tool applies, but there is no statement of when to prefer it over neighboring factoring tools or what to do outside the range. Usage is implied rather than prescribed.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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