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Define a sequence \(a_n\) as follows: for each positive integer \(n, set,a_n \)equal to the remainder of \(n^n\) when it is divided by 101. What is the smallest positive integer d such that \(a_n = a_{n+d}\) for all n

 May 9, 2019
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The answer is 9900.

 Nov 29, 2019

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