Amazingly easy
Source: VII Centroamerican and Caribbean Olympiad 2005, Problem 1
July 29, 2005
number theory proposednumber theory
Problem Statement
Among the positive integers that can be expressed as the sum of 2005 consecutive integers, which occupies the 2005th position when arranged in order?
Roland Hablutzel, Venezuela
[hide="Remark"]The original question was: Among the positive integers that can be expressed as the sum of 2004 consecutive integers, and also as the sum of 2005 consecutive integers, which occupies the 2005th position when arranged in order?