Determine all possible integer solutions, whether positive or negative, to this equation:
5y^{4} + 2560y^{2} = x^{5}  65536
(In reply to
Small steps by Gamer)
5*(y^{2 }+ 256)^{2} = x^{5} + 2^18
implies x^5 + 2^18 is a multiple of 5.
2^18 is congruent to 4 mod 5, so x^5 is congruent to 1 mod 5.
This implies x is congruent to 1 mod 5.
The known solution x=16 fits this, but I'm stuck.

Posted by Jer
on 20060316 12:53:05 