Results 41 to 50 of about 384 (160)
Tower Mersenne Primes Are Infinitely Many [PDF]
Against to Mersenne prime using Proposition transformation method, based on Euler’s function and n order remainder theorem,the au?thors have proved that the necessary and sufficient condition for that module M has primitive root is that x in the equation
唐子周
core +1 more source
On the intersections of nilpotent subgroups in simple groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley +1 more source
On the emergence of the Quanta Prime sequence
Arab Journal of Basic and Applied SciencesThis paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
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 +6 more
wiley +1 more source
Tesla-Kaoru Conjecture: A New and Fast Method to Find Mersenne Primes [PDF]
This project introduces the Tesla-Kaoru Conjecture, a novel and efficient digital root-based filter for identifying candidate exponents of Mersenne primes.
Kaoru Aguilera Katayama
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Addendum: an analogue of Artin reciprocity for closed orbits of skew products [PDF]
, 2008 One of the unfulfilled aims of the authors of the preceding paper [W. Parry and M. Pollicott. An analogue of Bauer’s theorem for closed orbits of skew products. Ergod. Th. & Dynam. Sys.
Pollicott, Mark, Sharp, Richard
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International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.Federated learning (FL) is a privacy‐preserving method for short‐term load forecasting in energy networks. However, current defense mechanisms against adversarial attacks often depend on supplementary machine learning frameworks, such as anomaly detection models or Byzantine‐robust aggregators.
Habib Ullah Manzoor +5 more
wiley +1 more source
Mersenne primes and class field theory [PDF]
, 2012 The Lucas-Lehmer-test is used to find Mersenne primes.
Jansen, B.J.H.
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Generation of Fast Finite Field Arithmetic forCortex-M4 with ECDH and SQIsign Applications
Transactions on Cryptographic Hardware and Embedded SystemsFinite field arithmetic is central to several cryptographic algorithms on embedded devices like the ARM Cortex-M4, particularly for elliptic curve and isogenybased cryptography.
Felix Carvalho Rodrigues +7 more
doaj +1 more source
Journal of Applied Crystallography, Volume 58, Issue 6, Page 2078-2089, December 2025.We experimentally demonstrate that the scattering‐induced decrease in light intensity experienced by a crystal embedded in a high‐viscosity jet is very limited in materials such as lipidic cubic phase or hydroxyethyl cellulose, and therefore cannot justify the use of pump energies exceeding the linear excitation regime under realistic experimental ...
Stanisław Niziński +5 more
wiley +1 more source