from tools import number_theory

def unit(p):
    base = 1
    loop = 1
    while True:
        base %= p
        if not base:
            return loop
        base = 10 * base + 1
        loop += 1

def is_dec(num):
    while not num % 2:
        num //= 2
    while not num % 5:
        num //= 5
    return 1 == num

def statistic(limit):
    prime = number_theory.make_prime(limit)
    next(prime)
    next(prime)
    next(prime)
    for p in prime:
        if is_dec(unit(p)):
            yield p

#print(list(statistic(100000)))
get = [11, 17, 41, 73, 101, 137, 251, 257, 271, 353, 401, 449, 641, 751, 1201, 1409, 1601, 3541, 4001, 4801, 5051, 9091, 10753, 15361, 16001, 19841, 21001, 21401, 24001, 25601, 27961, 37501, 40961, 43201, 60101, 62501, 65537, 69857, 76001, 76801]

print(sum(set(number_theory.make_prime(100000)) - set(get)))