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∑MathAdvanced

Pollard's Rho Factorization

Pollard's Rho is a randomized algorithm that finds a non-trivial factor of a composite integer by walking a pseudorandom sequence modulo n and extracting a factor with a gcd.

#pollard's rho#integer factorization#cycle detection+10
∑MathIntermediate

Miller-Rabin Primality Test

Miller–Rabin is a fast primality test that uses modular exponentiation to detect compositeness with very high reliability.

#miller-rabin
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#primality test
#primality test
#probable prime
+11
∑MathIntermediate

Fermat's Little Theorem

Fermat's Little Theorem says that for a prime p and integer a not divisible by p, a^{p-1} ≡ 1 (mod p).

#fermat's little theorem#modular inverse#binary exponentiation+11