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

Annotations already cover the safety profile (readOnly, idempotent, non-destructive, openWorld). The description adds meaningful non-schema context: it is a paid call ($0.001 USDC per successful call via x402 on Solana) and is also reachable over HTTPS at the given endpoint. It does not describe failure behavior for out-of-range or non-Pierpont inputs, so it stops short of a 5.

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

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

The core definition and examples come first, followed by range, price, and alternate endpoint. It is short and dense, with only the pricing/URL tail potentially deferrable, though both are operationally useful.

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

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 the return value clear via the examples (a single prime integer). Domain bounds, cost, and alternate transport are covered; only edge-case behavior (invalid input, no result) is unaddressed.

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

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

Schema description coverage is 0%, and the schema only supplies type and min/max. The description compensates by conveying the argument's meaning through concrete input→output examples, so an agent understands n is the lower bound whose next Pierpont prime is returned. The stated range repeats the schema, but the examples add genuine value.

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

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

States a precise mathematical function: 'the smallest Pierpont prime that is at least n,' with worked examples (1→2, 8→13, 20→37, 98→109) that pin down the semantics exactly. An agent can distinguish this 'next/successor' tool from siblings like pierpont or pierpont_prime from the wording alone.

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

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

Domain is bounded (n runs 1 to 100000) and pricing is stated, but there is no explicit when-to-use / when-not-to-use guidance and no sibling (pierpont, pierpont_prime, pierpont_count, pierpont_powers) is named as an alternative. Usage is only implied by the function definition.

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