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On a New Inequality Related to Consecutive Primes

Reza Farhadian ()
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Reza Farhadian: Lorestan University

Acta Universitatis Danubius. OEconomica, 2017, issue 13(5), 236-242

Abstract: Let ???? be the ??-th prime. In this note, first we study some well-known conjectures related to consecutive primes ???? and ????+1 as the Cramér’s, Firoozbakht's, Andrica's, Granville's and Farhadian's conjectures. Afterward, we present a new inequality related to consecutive primes ???? and ????+1, which is weaker than the Firoozbakht's conjecture.

Keywords: Primes; Cramér’s conjecture; Firoozbakht’s conjecture; Andrica's conjecture; Granville's conjecture (search for similar items in EconPapers)
Date: 2017
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