Number theory

Problem for Secondary Group from Divisional Mathematical Olympiad will be solved here.
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Drake
Posts: 1
Joined: Tue Dec 26, 2017 12:00 pm

Number theory

Unread post by Drake » Tue Dec 26, 2017 12:13 pm

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.

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