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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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re(3): solution (spoiler) | Comment 8 of 9 |
(In reply to re(2): solution (spoiler) by Charlie)

Not really. A problem like this shouldn't really turn on whether one's definition of a square number includes 0 or not.
  Posted by broll on 2018-02-03 11:11:25

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