(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)

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(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)

(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^2-1)(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)/(2^2-1)
=(2^4-1)(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)/(2^2-1)
=(2^8-1)(2^8+1)*(2^16+1)*(2^32+1)/(2^2-1)
=(2^16-1)(2^16+1)*(2^32+1)/(2^2-1)
=(2^32-1)(2^32+1)/(2^2-1)
=(2^64-1)/3

(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)
=(2^2-1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1) /(2^2-1)
=(2^4-1))*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1) /(2^2-1)
=(2^64-1)/3