import math # n^2 + a*n + b , where |a|<1000 and |b|<1000 def is_prime(number): if number == 1: return False prime = True i = 2 while i < math.sqrt(number) + 1: if number % i == 0: prime = False # found a factor, not prime break else: i += 1 return prime largest_n = 0 largest_n_a = 0 largest_n_b = 0 for a in range(-1000, 1000): for b in range(-1000, 1000): n = 1 while True: if not is_prime(abs(n*n + a*n + b)): break else: n += 1 if n > largest_n: largest_n = n largest_n_a = a largest_n_b = b print("{0}, {1}".format(a, b)) print(largest_n) print(largest_n_a) print(largest_n_b)