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k^{1999} - k^{1998} = 2k + 2 (VI Soros Olympiad 1990-00 R1 9.1)

Source:

May 27, 2024
number theoryDiophantine equation

Problem Statement

Prove that there is no natural number kk such that k1999āˆ’k1998=2k+2k^{1999} - k^{1998} = 2k + 2.
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