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Representing numbers as sum of r consecutive positive integers

Source: IOQM 2020 Question 28 (5 Marks)

January 17, 2021
number theoryIOQMOlympiadsOlympiad

Problem Statement

A natural number nn is said to be goodgood if nn is the sum or rr consecutive positive integers, for some r≥2r \geq 2 . Find the number of good numbers in the set {1,2…,100}\{1,2 \dots , 100\}.
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