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There are exactly four positive integers n such that

\( \frac{(n + 1)^2}{n + 23}\ \)

is an integer. Compute the largest such n.

 Aug 8, 2017
edited by Guest  Aug 8, 2017
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By simple iteration the 4 values of n are:

21, 98, 219, 461. Therefore the largest n = 461

 Aug 9, 2017

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