Detail publikace

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

KLAŠKA, J.

Anglický název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

Mersenne number, Fermat number, Wieferich prime

Vydáno

17.03.2023

Nakladatel

Journal of Integer Sequences

Místo

Canada

ISSN

1530-7638

Ročník

26

Číslo

3

Strany od–do

1–21

Počet stran

21

BIBTEX


@article{BUT187300,
  author="Jiří {Klaška},
  title="Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem",
  year="2023",
  volume="26",
  number="3",
  month="March",
  pages="1--21",
  publisher="Journal of Integer Sequences",
  address="Canada",
  issn="1530-7638"
}