We all know that 2 is the only even prime number.

We also know that an odd number times an odd number is always an even number. The same is true for multiplying even numbers (even x even = even)

So...

(A*A)+26 can be seen as (ODD*ODD)+EVEN or (EVEN*EVEN)+EVEN. Either way the result is always even and always greater than 2. As such, this expression can never yield a prime result. The answer will always be non-prime.

**Edited by Wizzbang, 09 July 2008 - 12:42 PM.**