MathDB
Largest Integer and Divisibility

Source: 2008 Philippine Mathematical Olympiad Problem 2

May 6, 2014
number theory unsolvednumber theory

Problem Statement

Find the largest integer nn for which n2007+n2006+⋯+n2+n+1n+2007\frac{n^{2007}+n^{2006}+\cdots+n^2+n+1}{n+2007} is an integer.
Back to ProblemsView on AoPS