#!/usr/bin/env python from itertools import permutations, combinations from utils import primes_until, add from sys import exit def concat(digits): return int(reduce(add, digits)) def suited(n): return n > 999 and n not in (1487, 4817, 8147) and n in primes primes = [p for p in primes_until(10000) if p > 999] for p in primes: perm = map(concat, permutations(str(p))) for a, b, c in set(combinations(perm, 3)): if a >= b or a >= c or b >= c \ or b - a != c - b or b - a < 1000 \ or not all(map(suited, (a, b, c))): continue print '%d%d%d' % (a, b, c) exit()