# # Solution to Project Euler problem 46 # Copyright (c) Project Nayuki. All rights reserved. # # https://www.nayuki.io/page/project-euler-solutions # https://github.com/nayuki/Project-Euler-solutions # import eulerlib, itertools, sys if sys.version_info.major == 2: filterfalse = itertools.ifilterfalse else: filterfalse = itertools.filterfalse def compute(): ans = next(filterfalse(test_goldbach, itertools.count(9, 2))) return str(ans) def test_goldbach(n): if n % 2 == 0 or eulerlib.is_prime(n): return True for i in itertools.count(1): k = n - 2 * i * i if k <= 0: return False elif eulerlib.is_prime(k): return True if __name__ == "__main__": print(compute())