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\phi(n)

Source: 2nd international zhautykov olympiad of mathematics and phys, Problem 1

January 22, 2006
inequalitiesfunctionnumber theorynumber theory unsolved

Problem Statement

Solve in positive integers the equation n \equal{} \varphi(n) \plus{} 402 , where φ(n) \varphi(n) is the number of positive integers less than n n having no common prime factors with n n.
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