## Problem of the Day #249: Prime Squares mod 24
*November 23, 2011*

*Posted by Saketh in : potd , trackback*

Arthur is thinking of a prime such that its square is congruent to $1$ mod $24$. Find all primes he is definitely not thinking of.

## Comments»

I think the squares of primes greater than or equal to 3 mod 24 = 1.