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Prime Triplet Count

prime_triplet_count
Read-onlyIdempotent

How many prime-triplet starters are at most n. Through 3 there are none, through 5 there is 1, through 13 there are 4, and through 17 there are 5. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-triplet-count

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": "prime_triplet_count"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.6/5.0
Behavior4/5

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

Beyond the annotations, the description discloses the paid-call model ($0.001 USDC per successful call via x402 on Solana) and an equivalent HTTPS endpoint. It also gives the input range, though it does not describe the return type beyond the counting examples.

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 description is front-loaded with the core operation and supported by short examples. The pricing and endpoint details are useful, though the multiple example clauses make it slightly longer than strictly necessary.

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?

With no output schema, the description still makes clear that the result is a count, illustrated by example values, and it defines the input range and cost. It is nearly complete for this simple read-only counting tool, lacking only explicit output typing or sibling differentiation.

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 parameter semantics. It explains that n is an upper bound ('at most n') and repeats the 1-to-5000 range with illustrative thresholds, adding useful meaning beyond the bare schema constraints.

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?

The description names a specific counting operation — how many prime-triplet starters are at most n — and gives concrete examples. It is clear what the tool computes, but it does not explicitly distinguish itself from the sibling tool prime_triplet.

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

Usage Guidelines2/5

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

The description provides example outputs but no explicit guidance on when to use this tool instead of alternatives such as prime_triplet. Usage is only implied by the counting phrasing.

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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