(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)
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(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)
![(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)](/uploads/image/z/7819608-48-8.jpg?t=%282%2B1%29x%EF%BC%882%26%23178%3B%2B1%EF%BC%89x%EF%BC%882%5E4%2B1%29x%282%5E8%2B1%29x...x%282%5E32%2B1%29%E7%AD%89%E4%BA%8E%E5%87%A0%EF%BC%88%5E%E6%98%AF%E5%87%A0%E7%9A%84%E5%87%A0%E6%AC%A1%E6%96%B9%EF%BC%89)
(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)'
反复用平方差
=2^64-1
=(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)'
反复用平方差
=2^64-1
(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)
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