MathDB
Standard Diophentine with a trap

Source: CMI 2024

May 19, 2024
Diophantine equationnumber theoryalgebra

Problem Statement

Find all solutions for positive integers (x,y,k,m)(x,y,k,m) such that 20xk+24ym=2024 20x^k+24y^m = 2024 with k,m>1k, m > 1