Given

**a^2+15226=c^2**,

How many solutions (a,c) are there such that both numbers are positive integers?

Please comment upon the unexpected result.

(In reply to

re: computer findings by armando)

e.g. 121-100 or 9-4 ????

??? -when** a and c are of the same parity **

you may say : the** difference between two integer squares is**

either odd or divisible by 4.