4

Part of 2010 Canadian Mathematical Olympiad Qualification Repechage

Problems(1)

m^3-3m^2+2m is divisible by both 79 and 83

Source: Canadian Repêchage 2010: Problem 4

Determine the smallest positive integer

m

with the property that

m^3-3m^2+2m

is divisible by both

79

83

number theoryprime numbersnumber theory proposed