Acta Universitatis Danubius. Œconomica, Vol 13, No 5 (2017)

On a New Inequality Related to Consecutive Primes

Reza Farhadian

Abstract


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


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