On Wieferich and Non-Wieferich Primes with Prime Bases

被引：0
|
作者：
Alexandru, Victor [1 ]
Cobeli, Cristian [2 ]
Vajaitu, Marian [2 ]
Zaharescu, Alexandru [2 ,3 ]
机构：
[1] Univ Bucharest, Dept Math, 14 Academiei St, Bucharest 010014, Romania
[2] Romanian Acad, Sim Stoilow Inst Math, POBox 1-764, Bucharest 014700, Romania
[3] Univ Illinois, Dept Math, Altgeld Hall,1409 W Green St, Urbana, IL 61801 USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 02期
关键词：
Wieferich primes; density; prime numbers; arithmetic progressions; SEARCH;
D O I：
10.1007/s00009-023-02298-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the matter of the density and the distribution of Wieferich and non-Wieferich primes and especially the issues related to bases that are prime numbers. The existence of special partitions of the set of all prime numbers in two sets of which one has density equal to one and the other is maximal and is free of Wieferich pairs, but which contains hybrid Wieferich pairs with prime base and modulus belonging to one or the other is proved.
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页数：15
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