MathDB

2

Part of 2006 Indonesia MO

Problems(1)

Three positive integers

Source: Indonesia Mathematics Olympiad 2006 Day 1 Problem 2

6/2/2008
Let a,b,c a,b,c be positive integers. If 30|a\plus{}b\plus{}c, prove that 30|a^5\plus{}b^5\plus{}c^5.
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