On the equation |(m^2+2000m+999999) - (3n^3+9n^2+27n) |=1
Source: Austrian Mathematical Olympiad 2000, Part 2, D2, P2
June 28, 2011
number theory proposednumber theory
Problem Statement
Find all pairs of integers such that
\left| (m^2 + 2000m+ 999999)- (3n^3 + 9n^2 + 27n) \right|= 1.