Ramanujan and Labos Primes, Their Generalizations, and Classifications of Primes

被引：0

作者：

Shevelev, Vladimir ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

JOURNAL OF INTEGER SEQUENCES | 2012年 / 15卷 / 05期

关键词：

Bertrand postulate; Ramanujan prime; Labos prime; over-Ramanujan prime; over-Labos prime; prime gaps;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the parallel properties of the Ramanujan primes and a symmetric counterpart, the Labos primes. Further, we study all primes with these properties (generalized Ramanujan and Labos primes) and construct two kinds of sieves for them. Finally, we give a further natural generalization of these constructions and pose some conjectures and open problems.

引用

页数：15

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