Find the sum of all integersc, such that for some integersaandbsatisfyinga<b<c,a(b−c)^4+b(c−a)^4+c(a−b)^4=836…, i also tried factorization, which gave very big terms whose product is 836.

Printable View

- May 2nd 2013, 01:49 AMgeniusgarvilTerrific tripletsFind the sum of all integers
*c*, such that for some integers*a*and*b*satisfying*a*<*b*<*c*,*a*(*b*−*c*)^4+*b*(*c*−*a*)^4+*c*(*a*−*b*)^4=836…, i also tried factorization, which gave very big terms whose product is 836. - May 2nd 2013, 03:15 AMchiroRe: Terrific triplets
Hey geniusgarvil.

Do you have results for specific Diophantine equations that satisfy ax^4 + by^4 + cz^4 = n? - May 2nd 2013, 07:10 AMgeniusgarvilRe: 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.

- May 2nd 2013, 07:31 AMMINOANMANRe: Terrific triplets