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
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"
}