MathDB

m= a_1/1+... - Iran NMO 1999 (Second Round) Problem4

Source:

October 4, 2010

inductionnumber theory proposednumber theory

Problem Statement

Find all positive integers

m

such that there exist positive integers

a_1,a_2,\ldots,a_{1378}

such that:

m=\sum_{k=1}^{1378}{\frac{k}{a_k}}.