Re: question about Diophantine equations


Ummm, you are aware that (15+30*k)^4-1 = -1 mod 5, aren't you?

de Pumpster

Yes, but I only specified all constraints that I have deduced from my
equation.
So, I need to solve p^100+q^100+r^100=t^4, where p,q are even, r odd.

It can be led to the problem of finding solutions of
p^100+q^100=c*r^100, p,q are even, r odd. And c=k^4-1, k=3,5,7,9....
(odd)
Also p,q are divisible by 10, r last digit is 1 or 5. - this I've
deduced.
This is the full problem I need to solve
.

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