MathDB

5

Part of 2024 CMI B.Sc. Entrance Exam

Problems(1)

Standard Diophentine with a trap

Source: CMI 2024

5/19/2024
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
Diophantine equationnumber theoryalgebra