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sympy_prevprime

Find the largest prime number smaller than a given integer using symbolic mathematics for number theory applications.

Instructions

Return the previous prime before n.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYesInteger > 2

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations are provided, so the description carries full burden. It states the basic function but doesn't disclose behavioral traits like error handling (e.g., what happens if n ≤ 2), performance characteristics, or return format details. The description is minimal and lacks context beyond the core operation.

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

Conciseness5/5

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

The description is a single, efficient sentence with zero waste. It is front-loaded and appropriately sized for a simple mathematical function, making it easy to parse quickly.

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?

Given the tool's low complexity (one parameter, simple function) and the presence of an output schema (which handles return values), the description is mostly complete. However, it lacks behavioral details that would be helpful without annotations, such as error conditions or performance notes, slightly reducing completeness.

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

Parameters3/5

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

Schema description coverage is 100%, with the parameter 'n' documented as 'Integer > 2'. The description adds no additional meaning beyond what the schema provides, such as examples or edge cases, so it meets the baseline of 3 where the schema does the heavy lifting.

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

Purpose5/5

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

The description clearly states the specific action ('Return') and resource ('the previous prime before n'), distinguishing it from siblings like 'sympy_nextprime' and 'sympy_isprime' by focusing on the previous prime rather than next prime or primality testing.

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?

No guidance is provided on when to use this tool versus alternatives. While the purpose is clear, there's no mention of when to choose this over 'sympy_nextprime', 'sympy_prime', or other mathematical functions in the sibling list.

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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