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)
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