On the several differences between primes

被引：0

作者：

Yeonyong Park

Heonsoo Lee

机构：

[1] Department of Mathematics, Mokpo National University

来源：

Journal of Applied Mathematics and Computing | 2003年 / 13卷 / 1-2期

关键词：

Brun's constant; Hardy-Littlewood conjecture; Primes;

D O I：

10.1007/BF02936073

中图分类号：

学科分类号：

摘要：

Enumeration of the primes with difference 4 between consecutive primes, is counted up to 5 × 1010, yielding the counting function π2,4(5 × 1010) = 118905303. The sum of reciprocals of primes with gap 4 between consecutive primes is computed B4(5 × 1010) = 1.197054473029 and B4 = 1.197054 ± 7 × 10-6. And Enumeration of the primes with difference 6 between consecutive primes, is counted up to 5 × 1010, yielding the counting function π2,6(5 × 1010) = 215868063. The sum of reciprocals of primes with gap 6 between consecutive primes is computed B6(5 × 1010) = 0.93087506039231 and B6 = 1.135835 ± 1.2 × 10-6.

引用

页码：37 / 51

页数：14