3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=

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3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=3*(2^2+1)(

3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=
3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=

3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1=
3*(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)...(2^2n+1)+1
=(2^8-1)(2^8+1)(2^16+1)...(2^2n+1)+1
=------------
=(2^2n-1)(2^2n+1)+1
=2^4n-1+1
=2^4n