MathDB
Diophantine of a Single Base

Source: VTRMC 2022 P3

January 4, 2023
VTRMCcollege contestsnumber theoryDiophantine equation

Problem Statement

Find all positive integers a,b,c,d,a, b, c, d, and nn satisfying na+nb+nc=ndn^a + n^b + n^c = n^d and prove that these are the only such solutions.
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