A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function

Said Zriaa

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arXiv · 2302.07368

A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function

Said Zriaa

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Abstract

By using the elementary symmetric polynomials and some results of number theory, we solve the well known problem of Lehmer on Euler's totient function. As application, we obtain a new characterization of prime numbers.

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Said Zriaa. 2023-02-14. A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function. https://arxiv.org/abs/2302.07368

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