(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1) 要过程

2024-12-18 15:31:39
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回答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)/(2^2-1)
=(2^64-1)/3