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paper

On Carmichael's Conjecture

arXiv:0704.2453

Abstract

In this article we prove that equation $ϕ(x)=n$, for a fixed $n$, admits a finite number of solutions, we find the general form of these solutions, and we show that: if $x_0$ is a unique solution of this equation then $x_0$ is a product of a very large number of primes (we conjecture that the number of such primes is infinite).

4 pages