Jakóbczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem
Jiří Klaška
Institute of Mathematics
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2
CZ — 616 69 Brno
Czech Republic
Abstract:
Recently Skula published an interesting article on the divisibility
of Mersenne numbers 2n – 1 by powers of primes.
His main result is closely related to Jakóbczyk's hypothesis.
We generalize Skula's result for the numbers
an ± 1 where a ∈ N,
a ≥ 2.
Full version: pdf,
dvi,
ps,
latex
(Concerned with sequences
A000215
A000225
A001220
A077816.)
Received February 9 2023; revised versions received March 16 2023; March 17 2023.
Published in Journal of Integer Sequences,
March 17 2023.
Return to
Journal of Integer Sequences home page
