def euler_097():
    mod = 10**10 # we want the last ten digits
    s = 1
    for _ in range(7830457):
        s = (s * 2) % mod
    s = (28433 * s) % mod
    s = s + 1
    return s


if __name__ == "__main__":
    solution = euler_097()
    print("e097.py: " + str(solution))
    assert(solution == 8739992577)