Freaks City

Prime factorization involves expressing a composite number as a product of prime numbers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Factorizaiton Algorithm The algorithm proceeds as follows: Initialize with the smallest prime number (2) Divide the target number repeatedly by the cu ...

Miller-Rabin Primality TestThe Miller-Rabin algorithm is a probabilistic method used to determine if a large number is prime. It builds upon Fermat's Little Theorem, which states that for a prime $ p $ and integer $ a $ such that $ 1 \le a < p $, the congruence $ a^{p-1} \equiv 1 \pmod p $ holds. However, relying solely on this theorem allows f ...