MathDB

5

Part of 2014 ITAMO

Problems(1)

Sum of 2014-th powers of 2015 integers

Source: Itamo 2014 - p5

12/1/2014
Prove that there exists a positive integer that can be written, in at least two ways, as a sum of 20142014-th powers of 20152015 distinct positive integers x1<x2<⋯<x2015x_1 <x_2 <\cdots <x_{2015}.
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