Find all integers a, b, c where c is a prime number such that

**a^b + c **and

**a^b - c **are square numbers.

Source: Pedro Henrique O. Pantoja, Brazil

(In reply to

re(3): solution (spoiler) by broll)

1. Sure does. Zero's right to exist is boldly displayed: in math, in physics, art and politics, - shortly- everywhere.

2, There is variety of puzzles based on the "red herring" principle

emphasizing our tendency to ignore the obvious while searching for

a tangible answer.

I really liked Pedro's puzzle, especially "Find **all** integers", somehow implying a list of possible triplets..

*Edited on ***February 4, 2018, 10:28 pm**