1. ## Terrific triplets

Find the sum of all integers c, such that for some integers a and b satisfying a<b<c,
a(bc)^4+b(ca)^4+c(ab)^4=836…, i also tried factorization, which gave very big terms whose product is 836.

2. ## Re: Terrific triplets

Hey geniusgarvil.

Do you have results for specific Diophantine equations that satisfy ax^4 + by^4 + cz^4 = n?

3. ## Re: Terrific triplets

First of all, can u explain me what is a Diaphontine equation. Also,if i just consider it a equation, my answer is NO.