(2+1)x(2²+1)x(2^4+1)x(2^8+1)x...x(2^32+1)等于几(^是几的几次方)
问题描述:
(2+1)x(2²+1)x(2^4+1)x(2^8+1)x...x(2^32+1)等于几(^是几的几次方)
答
(2+1)x(2²+1)x(2^4+1)x(2^8+1)x...x(2^32+1)=(2-1)×(2+1)x(2²+1)x(2^4+1)x(2^8+1)x...x(2^32+1)=(2²-1)x(2²+1)x(2^4+1)x(2^8+1)x...x(2^32+1)=(2^4-1)x(2^4+1)x(2^8+1)x...x(2^32+1)...