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[数论] 2022新年贺岁一题$3^t≡1 \mod 2^{2022}$

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realnumber Posted 2022-2-1 20:17 |Read mode

Last edited by realnumber 2022-2-8 11:03求使得$3^t≡1 \mod 2^{2022}$成立的最小正整数t并证明.

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可用数学归纳法证明$3^{(2^{n-2})}≡1 \mod 2^{n},n\ge 3$.

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isee Posted 2022-2-1 21:07

回复 1# realnumber

"=" 号?

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