Prime Number Engine

Prime Number Engine MCP Connector for Claude

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Advanced computational engine for primality testing, integer factorization, and prime distribution analysis.

4 tools Official Updated Oct 1, 2026 Official Vinkius Partner

The Prime Number Engine provides high-performance mathematical tools for number theory. Use test_primality to determine if a large integer is prime using Trial Division, Deterministic Miller-Rabin, or Probabilistic Miller-Rabin methods. The factorize_integer tool decomposes integers into their prime components using trial division and Pollard's rho algorithm. For proximity analysis, find_adjacent_primes locates the nearest primes above or below a target value, while get_prime_density_info provides statistical insights like estimated prime counts and prime gap sizes.

primefactorizationmathematicsalgorithmsnumber-theory

4 tools expose this connector's capabilities to your AI agent.

factorize_integer

Find all prime factors of an integer

find_adjacent_primes

Locate the nearest prime numbers above or below a specified value

get_prime_density_info

Provide statistical insights into prime distribution

test_primality

Determine whether a given integer is prime

See how to talk to your AI agent using Prime Number Engine.

Is 104729 a prime number?

Yes, 104729 is a prime number.

What are the prime factors of 123456789?

The prime factors of 123456789 are 3, 3, 3607, and 3803.

Find the next prime after 1000.

The next prime number after 1000 is 1009.

The engine uses Deterministic Miller-Rabin for numbers up to $3.3 \times 10^{24}$, providing 100% certainty. For larger numbers, the Probabilistic Miller-Rabin method is used with a configurable number of rounds to minimize error probability.

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