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

KLAŠKA, J.

Originální název

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Mersenne number, Fermat number, Wieferich prime

Autoři

KLAŠKA, J.

Vydáno

17. 3. 2023

Nakladatel

Journal of Integer Sequences

Místo

Canada

ISSN

1530-7638

Periodikum

Journal of Integer Sequences

Ročník

Číslo

Stát

Kanada

Strany od

Strany do

Strany počet

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"
}