Does there exist an infinite number of positive integer triplets (x,y,z) with x < y < z such that:
x, y and z describe an arithmetic sequence, and:
Each of xy+1, yz+1 and zx+1 is a perfect square?

Give reasons for your answer.

Considering the examples provided, the differences in the AP are 7,26,97,362,1351,... which looks to be http://oeis.org/A001075

Edited on August 20, 2015, 9:24 am

Posted by xdog on 2015-08-20 09:23:33