Non-Square Positive Integers not Sum of Square and Prime/Examples/10

Example of Non-Square Positive Integers not Sum of Square and Prime
$10$ cannot be expressed as the sum of a square and a prime.

Proof
Testing each $m \in \Z_{>0}$ such that $m^2 < 10$ it is established that there is no solution to $10 - m^2 = p$ where $p$ is prime: