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.
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页数：15
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