Category:24 divides Square of Odd Integer Not Divisible by 3 plus 23

This category contains pages concerning 24 divides Square of Odd Integer Not Divisible by 3 plus 23:

Let $a \in \Z$ be an integer such that:

$2 \nmid a$

$3 \nmid a$

where $\nmid$ denotes non-divisibility.

Then:

$24 \divides \paren {a^2 + 23}$

where $\divides$ denotes divisibility.