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


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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