(2 + 1) (square of 2 + 1) (fourth power of 2 + 1)... (2n power of 2 + 1) + 1 (n is a positive integer)

(2 + 1) (square of 2 + 1) (fourth power of 2 + 1)... (2n power of 2 + 1) + 1 (n is a positive integer)

(2 + 1) (square of 2 + 1) (fourth power of 2 + 1)... (2n power of 2 + 1) + 1
=3 (square of 2 + 1) (fourth power of 2 + 1)... (2n power of 2 + 1) + 1
=(2 & # 178; - 1) (the square of 2 + 1) (the fourth power of 2 + 1)... (the 2nth power of 2 + 1) + 1
=(2^4-1)(2^4+1).(2^2n+1)+1
=2^4n-1+1
=2^4n
That is to say, the power of 2 is 4N