MathDB

2

Part of 2024 Girls in Mathematics Tournament

Problems(1)

x^2= 5^y+3^z, (x,y,z) positive integers

Source: 2024 Girls in Mathematics Tournament, Level A, Problem 2

10/26/2024
Show that there are no triples of positive integers (x,y,z)(x,y,z) satisfying the equation x2=5y+3zx^2= 5^y+3^z
number theoryDiophantine equation