Question 162
Find all non-negative integer solutions $(x, y, z, w)$ of the following equation
$$
2^x \cdot 3^y - 5^z \cdot 7^w = 1.
$$
$$
2^x \cdot 3^y - 5^z \cdot 7^w = 1.
$$
MathNet 2005 — Part 02 Question 162
Math Olympiad Vault · MathNet 2005 — Part 02