I have tried to make a perfect number finder as efficient as possible in python. If anyone has any things I can add to make it more efficient or any problems with my code please say.
def is_prime(num): if num <= 1: return False elif num <= 3: return True elif num % 2 == 0 or num % 3 == 0: return False i = 5 while i * i <= num: if num % i == 0 or num % (i + 2) == 0: return False i += 6 return True def is_mersenne_prime(prime, mersenne_prime): s = 4 for i in range(prime - 2): s = (s*s - 2) % mersenne_prime if s == 0: return True else: return False def calculate_perfects(): print(6) prime = 3 while True: if is_mersenne_prime(prime, 2**prime-1): print(2**(2*prime-1)-2**(prime-1)) while True: prime += 2 if is_prime(prime): break calculate_perfects()
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