The results are in the form of power (1) (2 + 1) (2 ^ 2 + 1) keep the form of power, don't directly answer is 15 (2) (2 + 1) (2 ^ 2 + 1) (2 ^ 4 + 1), guess the results of (2 + 1) (2 ^ 2 + 1) (2 ^ 4 + 1) (2 ^ 8 + 1), and verify the results

The results are in the form of power (1) (2 + 1) (2 ^ 2 + 1) keep the form of power, don't directly answer is 15 (2) (2 + 1) (2 ^ 2 + 1) (2 ^ 4 + 1), guess the results of (2 + 1) (2 ^ 2 + 1) (2 ^ 4 + 1) (2 ^ 8 + 1), and verify the results

(1) = 2 ^ 3 + 2 ^ 2 + 2 + 1 = 8 + 4 + 2 + 1 = 15 = 2 ^ 4-1 (2) = 2 ^ 7 + 2 ^ 6 + 2 ^ 5 + 2 ^ 4 + 2 ^ 3 + 2 ^ 2 + 2 + 1 = 254 = 2 ^ 8-1 conjecture: = 2 ^ 15 + 2 ^ 14 + 2 ^ 13 +... + 2 ^ 2 + 2 + 1 = 2 ^ 16-1 = 65535 verification: = 2 ^ 15 + 2 ^ 14 + 2 ^ 13... + 2 ^ 2 + 2 + 1 = 32768 + 16384 +... + 2 + 1 = 65535