Fermat numbers, Wieferich and Wilson primes: Computations and generalizations

被引：0
|
作者：
Dilcher, K [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
来源：
PUBLIC-KEY CRYPTOGRAPHY AND COMPUTATIONAL NUMBER THEORY | 2001年
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this survey of recent and ongoing computational and theoretical work I report on the following interrelated topics, all dealing with very large integers: Fermat numbers, generalized Fermat numbers, the search for Wieferich and Wilson primes, and Fermat and Wilson quotients for composite moduli. A number of related topics will also be briefly discussed.
引用
收藏
页码：29 / 48
页数：20
相关论文
共 50 条
  • [1] A search for Wieferich and Wilson primes
    Crandall, R
    Dilcher, K
    Pomerance, C
    MATHEMATICS OF COMPUTATION, 1997, 66 (217) : 433 - 449
  • [2] GENERALIZATIONS OF THEOREMS OF WILSON, FERMAT AND EULER
    CHAO, CY
    JOURNAL OF NUMBER THEORY, 1982, 15 (01) : 95 - 114
  • [3] Elliptic Wieferich primes
    Voloch, JF
    JOURNAL OF NUMBER THEORY, 2000, 81 (02) : 205 - 209
  • [4] Bernoulli-Hurwitz numbers, Wieferich primes and Galois representations
    Lozano-Robledo, Alvaro
    JOURNAL OF NUMBER THEORY, 2010, 130 (03) : 539 - 558
  • [5] On Wieferich and Non-Wieferich Primes with Prime Bases
    Alexandru, Victor
    Cobeli, Cristian
    Vajaitu, Marian
    Zaharescu, Alexandru
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [6] On Wieferich and Non-Wieferich Primes with Prime Bases
    Victor Alexandru
    Cristian Cobeli
    Marian Vâjâitu
    Alexandru Zaharescu
    Mediterranean Journal of Mathematics, 2023, 20
  • [7] Gauss Factorials, Jacobi Primes, and Generalized Fermat Numbers
    Cosgrave, John B.
    Dilcher, Karl
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2018, 50 (04): : 1 - 21
  • [8] On the convergence of series of reciprocals of primes related to the Fermat numbers
    Krízek, M
    Luca, F
    Somer, L
    JOURNAL OF NUMBER THEORY, 2002, 97 (01) : 95 - 112
  • [9] The continuing search for Wieferich primes
    Knauer, J
    Richstein, J
    MATHEMATICS OF COMPUTATION, 2005, 74 (251) : 1559 - 1563
  • [10] A note on Carlitz Wieferich primes
    Bamunoba, Alex Samuel
    JOURNAL OF NUMBER THEORY, 2017, 174 : 343 - 357
12345