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A couple of squares (Posted on 2018-02-02) Difficulty: 3 of 5
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

See The Solution Submitted by Ady TZIDON    
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Some Thoughts re(4): solution (spoiler)....2 remarks Comment 9 of 9 |
(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
  Posted by Ady TZIDON on 2018-02-04 21:58:07

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