import itertools
from pprint import pprint
from primes import is_prime

if __name__ == '__main__':
    results = []
    for i in range(1000, 10000):
        combos = set(''.join(x) for x in itertools.permutations(str(i)))
        combos = [int(x) for x in combos if int(x) > 1000]
        if len(combos) < 3:
            continue
        primes = [int(x) for x in combos if is_prime(int(x))]
        if len(primes) < 3:
            continue
        elif len(primes) > 3:
            poss = itertools.combinations(primes, 3)
            poss = set(poss)
            for p in poss:
                concat = sorted(p)
                if concat not in results:
                    results.append(concat)
        else:
            results.append(sorted(primes))

    results = [list(x) for x in set(tuple(x) for x in results)]
    results = sorted(results, key=lambda x: (x[0], x[1]))
    for result in results:
        if result[1] - result[0] == result[2] - result[1]:
            print(result, str(result[0]) + str(result[1]) + str(result[2]))