MathDB
3n^2 + 3n + 7

Source: IMO Longlist 1967, Poland 4

October 14, 2005
modular arithmeticnumber theoryperfect cubeDiophantine equationIMO ShortlistIMO Longlist

Problem Statement

Does there exist an integer such that its cube is equal to 3n2+3n+7,3n^2 + 3n + 7, where nn is an integer.