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by Drake
Tue Dec 26, 2017 12:13 pm
Forum: Secondary: Solved
Topic: Number theory
Replies: 3
Views: 1588

Number theory

The energy of an ordered triple(a,b,c) formed by 3 positive integers a,b,c is said to be n and a<=b<=c and GCD(a,b,c)=1. There are some possible triples for which a^n+b^n+c^n is divisible by a+b+c for all n>0. Find the maximum possible value of a+b+c.