perplexus.info :: Just Math : Some Powers Sum Square II

Some Powers Sum Square II (Posted on 2013-12-18)

Determine all possible pairs (P, Q) of integers such that :
(19P + Q)¹⁸ + (P + Q)¹⁸ + (P + 19Q)¹⁸ is a perfect square.

No Solution Yet Submitted by K Sengupta

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

too much nog, not enough egg

Comment 2 of 2 |

Except that p and q can both be odd and still be relatively prime.

Posted by xdog on 2014-01-01 05:30:33

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info