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(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 20180203 11:11:25 