(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
=(1/2)(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
=(1/2)(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)+1
=(1/2)(3^4-1)(3^4+1)(3^8+1)(3^16+1)+1
=(1/2)(3^8-1)(3^8+1)(3^16+1)+1
=(1/2)(3^16-1)(3^16+1)+1
=(1/2)(3^32-1)+1
=3^32/2-1/2+1
=3^32/2+1/2
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