def build_prime_number_list(n): """Build a list of prime numbers using a sieve with the highest value in the list being equal to or lesser than n""" sieve = [True]*(n//2) #sieve is n long, all values are True for i in xrange(3,int(n**0.5)+1,2): # in python3 use range not xrange. 3, sqr root of n+1, step is 2 if sieve[i/2]: sieve[i*i/2::i] = [False] * ((n-i*i-1)/(2*i)+1) #set the sieve bit to False if condition is met #print(sieve) return [2] + [2*i+1 for i in xrange(1,n/2) if sieve[i]] #build prime number list number_to_divide = 302001 n = int(number_to_divide/2) prime_number_list = build_prime_number_list(n) for prime_number in reversed(prime_number_list): if number_to_divide % prime_number == 0: print(prime_number) break
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