Some consequences of the Firoozbakht's conjecture

TL;DR

This paper discusses the Firoozbakht's conjecture, exploring its potential implications and related results, including a consequence derived from Zhang's theorem, to understand its significance in number theory.

Contribution

It presents the conjecture, examines its possible consequences, and connects it with Zhang's theorem, offering new insights into prime number distribution.

Findings

Potential implications if Firoozbakht's conjecture is proved

A derived consequence from Zhang's theorem related to the conjecture

Discussion of the conjecture's significance in prime number theory

Abstract

In this paper we present the statement of the Firoozbakht's conjecture, some of its consequences if it is proved and we show a consequence of Zhang's theorem concerning the Firoozbakht's conjecture.