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Find the no of Integers

Source: Indian National Mathematical Olympiad (INMO) 1991 Problem 1

October 3, 2005
quadraticsmodular arithmetic

Problem Statement

Find the number of positive integers nn for which (i) n1991n \leq 1991; (ii) 6 is a factor of (n2+3n+2)(n^2 + 3n +2).