Example #1
0
def prime_factorization(n):
    limit = int(n ** 0.5)
    prime = 2

    while prime <= limit:
        if n % prime == 0:
            n     = n / prime
            limit = int(n ** 0.5)
        else:
            prime = next_prime(prime)

    return n
Example #2
0
def nth_prime(n):
    prime = 2
    while n > 1:
        prime = next_prime(prime)
        n     = n - 1
    return prime