Prime Numbers

When to Use

Use this skill when working on prime-numbers problems in graph number theory.

Decision Tree

1. Primality testing hierarchy

   • Trial division: O(sqrt(n)), exact
   • Miller-Rabin: O(k log^3 n), probabilistic
   • AKS: O(log^6 n), deterministic polynomial

2. Factorization

   • Trial division for small factors
   • Pollard's rho: probabilistic, medium numbers
   • Quadratic sieve: large numbers
   • sympy_compute.py factor "n"