Detail publikačního výsledku

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

KLAŠKA, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

Mersenne number, Fermat number, Wieferich prime

Autoři

KLAŠKA, J.

Rok RIV

2024

Vydáno

17.03.2023

Nakladatel

Journal of Integer Sequences

Místo

Canada

ISSN

1530-7638

Periodikum

Journal of Integer Sequences

Svazek

26

Číslo

3

Stát

Kanada

Strany od

1

Strany do

21

Strany počet

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"
}