MathDB

3

Part of 2019 Singapore Junior Math Olympiad

Problems(1)

(2m-1)/n and (2n-1)/m are both integers

Source: Singapore Junior Math Olympiad 2019 2nd Round p3 SMO

3/26/2020
Find all positive integers m,nm, n such that 2m−1n\frac{2m-1}{n} and 2n−1m\frac{2n-1}{m} are both integers.
number theoryInteger