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2000 Oral #3: Inequality

Source:

October 6, 2014
inequalities

Problem Statement

Suppose the positive integers a,b,ca,b,c satisfy an+bn=cna^n+b^n=c^n, where nn is a positive integer greater than 11. Prove that a,b,c>na,b,c>n. (Note: Fermat's Last Theorem may not be used)
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