Publication result detail

Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem

KLAŠKA, J.

Original Title

Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem

English Title

Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem

Type

WoS Article

Original Abstract

Recently Skula published an interesting article on the divisibility of Mersenne numbers 2(n) - 1 by powers of primes. His main result is closely related to Jakobczyk's hypothesis. We generalize Skula's result for the numbers a(n) +/- 1 where a is an element of N, a >= 2.

English abstract

Recently Skula published an interesting article on the divisibility of Mersenne numbers 2(n) - 1 by powers of primes. His main result is closely related to Jakobczyk's hypothesis. We generalize Skula's result for the numbers a(n) +/- 1 where a is an element of N, a >= 2.

Keywords

Mersenne number, Fermat number, Wieferich prime

Key words in English

Mersenne number, Fermat number, Wieferich prime

Authors

KLAŠKA, J.

RIV year

2024

Released

17.03.2023

Publisher

Journal of Integer Sequences

Location

Canada

ISBN

1530-7638

Periodical

Journal of Integer Sequences

Volume

26

Number

3

State

Canada

Pages from

1

Pages to

21

Pages count

21

URL

https://cs.uwaterloo.ca/journals/JIS/VOL26/Klaska/klaska6.pdf

BibTex

@article{BUT187300,
  author="Jiří {Klaška}",
  title="Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem",
  journal="Journal of Integer Sequences",
  year="2023",
  volume="26",
  number="3",
  pages="1--21",
  issn="1530-7638",
  url="https://cs.uwaterloo.ca/journals/JIS/VOL26/Klaska/klaska6.pdf"
}