from common import sieve primes = sieve(30000).primes() prime_list = list(primes) prime_list.sort() def is_prime(n): if n in primes: return True for p in prime_list: if p*p > n: return True if n % p == 0: return False return True def count_primes(numbers): prime = 0 for n in numbers: if is_prime(n): prime += 1 return prime #numbers = [1, 3, 5, 7, 9] prime_count = 3 number_count = 5 level = 2 last = 9 while 10*prime_count >= number_count: step = 2 * level numbers = [last+step, last+2*step, last+3*step, last+4*step] prime_count += count_primes(numbers) number_count += 4 level += 1 last += 4*step print 2*(level-1) + 1