import math

MAX_N = math.ceil(1e9 ** 0.5) + 5

primes: list[int] = [2, 3, 5, 7, 11]


def append_prime():
    for next_number in range(primes[-1]+2, MAX_N + 10000, 2):
        for p in primes:
            if next_number % p == 0:
                break
            if p * p > next_number:
                primes.append(next_number)
                print(next_number)
                return


def write_primes(file_name):
    with open(file_name, 'w') as f:
        f.write(", ".join(map(str, primes)))


if __name__ == '__main__':
    while primes[-1] < MAX_N:
        append_prime()

    print(len(primes))
    write_primes('pojcs101_M03247_palindromic_prime_init1.out')