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A NOTE ON CARMICHAEL’S CONJECTURE

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Abstract

Euler’s totient function (also known as Euler’s '-function or just Euler’s function) was introduced by Leonhard Euler (1707-1783) in 1760, motivated by a problem proposed by Pierre of Fermat (1607-1665). Given a positive integer n, in this work, we present new results about the existence of a positive integer m such that φ(m) = φ(n).

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English

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International Journal of Applied Mathematics, v. 35, n. 3, p. 393-396, 2022.

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