Results 51 to 60 of about 1,108 (208)

On Generalized p-Mersenne Numbers

, 2021
In this paper, we introduce the generalized p-Mersenne sequence and deal with, in detail, two special cases, namely, p-Mersenne and p-Mersenne-Lucas-sequences.
Yüksel Soykan
core   +1 more source

Sum of Squares of ‘m’ Consecutive Woodall Numbers

مجلة بغداد للعلوم, 2023
        This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
doaj   +1 more source

Note on a Mersenne number [PDF]

Bulletin of the American Mathematical Society, 1934
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS [PDF]

Bulletin of the Australian Mathematical Society, 2009
AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
Ford, Kevin, Luca, Florian, Shparlinski, Igor E.   +2 more
openaire   +2 more sources

The Challenge of Time‐to‐Event Analysis for Multiple Events: A Guided Tour From Time‐to‐First‐Event to Recurrent Time‐to‐Event Analysis

Biometrical Journal, Volume 68, Issue 1, February 2026.
ABSTRACT Clinical trials often compare a treatment to a control group concerning multiple possible combined time‐to‐event endpoints like hospital‐free survival. Thereby, the first endpoint may occur more than once (“recurrent”), whereas the second endpoint is absorbing. Inclusion of all observed events in the analysis can increase the power and provide
Sandra Schmeller, Alexandra Erdmann, Jan Beyersmann, Christiane Angermann, Ann‐Kathrin Ozga   +4 more
wiley   +1 more source

Perfect and Mersenne Numbers [PDF]

, 2019
U ovom radu proučavamo Mersenneove i savršene brojeve. Kažemo da je prirodan broj N savršen ako je σ(N) = 2N, gdje je σ(N) suma pravih djelitelja broja N.
Patković, Kristina
core  

The emergence of the Mersenne Star: a new geometry of prime numbers bridging physics and artificial general intelligence

Arab Journal of Basic and Applied Sciences
This paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
doaj   +1 more source

FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm

IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan, Noura H. Elshabasy, Eyad Mamdouh, Remas Osama, Mohamed A. Abd El Ghany, Dina El-Damak, Jim Harkin   +6 more
wiley   +1 more source

Perfect numbers and Mersenne numbers

, 2022
В статті розглянуто натуральні числа та прості числа Мерсенна. Свою назву вони отримали в честь французького ченця Мерена Мерсенна (1588–1648), який займався проблемою досконалих чисел.
Сіра, І., Мазур, К.
core  

Mersenne and Fermat numbers [PDF]

Proceedings of the American Mathematical Society, 1954
The first seventeen even perfect numbers are therefore obtained by substituting these values of n in the expression 2 n-(2n -1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 21271, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime.
openaire   +2 more sources