Fermat showed that no two fourth powers can ever sum to a perfect square.

Go one better by proving that there is no solution in the positive integers for the equation a^4+b^4+1 = c^2.

Or give a counter-example.

(Acknowledgement: suggested by a post of Daniel's on one of my earlier problems)

(In reply to A start by xdog)

That's a good start, xdog. I look forward to seeing your next steps!

Posted by broll on 2010-12-27 12:18:22