An Upper Estimate for the Overpseudoprime Counting Function

Mathematics – Number Theory

Scientific paper

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8 pages; addition: there exist infinitly many overpseudoprimes;correction of estimate and addition of a new section

Scientific paper

We prove that the number of overpseudoprimes to base 2 not exceeding x does
not exceed x^(3/4)(1+o(1)).

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