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Kosovo MO 2010 Grade 10, Problem 4

Source: Kosovo MO 2010 Grade 10, Problem 4

June 7, 2021
number theory

Problem Statement

Let a,b,ca,b,c be non negative integers. Suppose that cc is even and a5+4b5=c5a^5+4b^5=c^5. Prove that b=0b=0.
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