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MathNet 2017-part-03 — 176 problems (EN–VI) Question 46

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 46

Find all positive integers $x$, $y$, $z$ with $z$ odd, which satisfy the equation
$$
2018^x = 100^y + 1918^z
$$