Journal of Integer Sequences, Vol. 25 (2022), Article 22.4.3

A Simple Proof of Skula's Theorem on Prime Power Divisors of Mersenne Numbers


Jiří Klaška
Institute of Mathematics
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2
CZ – 616 69 Brno
Czech Republic

Abstract:

Recently, Skula proved an interesting result concerning the equivalence between higher order Wieferich primes and prime power divisors of Mersenne numbers. In the present paper, we provide a simple proof of Skula's result.


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(Concerned with sequences A000225 A001220 A001348 A077816.)


Received January 27 2022; revised version received March 29 2022. Published in Journal of Integer Sequences, March 31 2022.


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