MathDB

2^x + 9 \cdot 7^y = z^3 for integers x,y,z>=0

Source: The Francophone MO Juniors P4

August 10, 2020

number theoryDiophantine equationdiophantineFrancophone

Problem Statement

Find all the integers

x, y

and

z

greater than or equal to

0

such that

2^x + 9 \cdot 7^y = z^3