first_n_primes

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

No annotations are provided, so the description carries full burden. It mentions the algorithm but does not disclose behavioral traits such as performance characteristics (e.g., time/memory complexity for large n), error handling for invalid inputs (e.g., negative n), or output format (e.g., list of integers). This is a significant gap for a computational tool.

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 description is a single, efficient sentence that front-loads the core functionality ('Generate the first n prime numbers') and adds algorithm context. The parenthetical domain/category is concise and informative. Zero wasted words.

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?

Given no annotations, 0% schema coverage, and no output schema, the description is incomplete. It lacks details on output format, error handling, performance, and input constraints. For a tool with one parameter but no structured documentation, this is inadequate.

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%, but the description compensates by explaining that 'n' represents the count of prime numbers to generate (first n primes). This adds essential meaning beyond the schema's bare type declaration. However, it does not specify constraints (e.g., n must be positive).

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?

The description clearly states the specific action ('Generate the first n prime numbers') and the algorithm used ('Sieve of Eratosthenes'), distinguishing it from other prime-related tools like 'next_prime', 'nth_prime', or primality tests. It explicitly identifies the resource (prime numbers) and scope (first n).

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?

The description implies usage when needing a sequence of primes starting from 2, but does not explicitly state when to use this tool versus alternatives like 'sieve_of_eratosthenes' (which might return primes up to a limit) or 'prime_count' (which counts primes). No exclusions or prerequisites are mentioned.

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