MathDB

2

Part of 1958 Kurschak Competition

Problems(1)

m, n divisible by 3 if m^2 + mn + n^2 is divisible by 9

Source: 1958 Hungary - Kürschák Competition p2

10/10/2022
Show that if mm and nn are integers such that m2+mn+n2m^2 + mn + n^2 is divisible by 99, then they must both be divisible by 33.
number theorydividesdivisible