MathDB

2

Part of 2008 Philippine MO

Problems(1)

Largest Integer and Divisibility

Source: 2008 Philippine Mathematical Olympiad Problem 2

5/6/2014
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.
number theory unsolvednumber theory