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JP Journal of Algebra, Number Theory and Applications

Abstract:
Denote by

the number of primitive roots modulo a prime p. We show that for an arbitrary

there exists a prime p such that

Moreover, for an arbitrary Euclidean prime p we prove that

for all primes

Keywords and phrases: Euclidean primes, Fermat primes, Sophie Germain primes, Dirichlet theorem.

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P-ISSN: 0972-5555

E-ISSN: 3049-2084

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