# 1597

This number is a prime.

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There exist positive values of *n*such that the square root of 1597

*n*

^{2}+ 1 is an integer, but you'll need more than a hand-held calculator to find even the smallest solution.

Submitted: 2006-12-19 17:49:57; Last Modified: 2009-07-20 14:22:33.

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