Results 51 to 60 of about 39,822 (114)
The 25th and 26th Mersenne primes
, 1980 The 25th and 26th Mersenne primes are 2 21701 − 1 {2^{21701}} - 1 and 2 23209
Laura Nickel, Curt Noll
core +1 more source
Engineering Reports, Volume 7, Issue 10, October 2025.StorjLedger leverages erasure‐coded sharding and Proof‐of‐Storage to deliver nearly 1000 transactions per second with sub‐second latency, 98% data redundancy, and 76% lower storage costs, resolving the blockchain trilemma by harmonizing scalability, security, and decentralization.
Saha Reno, Koushik Roy
wiley +1 more source
A note on primes in short intervals [PDF]
, 2008 This paper is concerned with the number of primes in short intervals. We prove that for every $\theta>1/2$ the intervals $[x, x+x^{\theta}]$ contain the expected number of primes for $x\rightarrow \infty$, with the assumption of an heuristic hypothesis ...
Bazzanella, Danilo
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Groups with triangle‐free graphs on p$p$‐regular classes
Mathematische Nachrichten, Volume 298, Issue 6, Page 1796-1807, June 2025.Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe +2 more
wiley +1 more source
mid-pSquare: Leveraging the Strong Side-Channel Security of Prime-Field Masking in Software
Transactions on Cryptographic Hardware and Embedded SystemsEfficiently protecting embedded software implementations of standard symmetric cryptographic primitives against side-channel attacks has been shown to be a considerable challenge in practice.
Brieuc Balon +5 more
doaj +1 more source
Variable‐Range Hopping Conduction in Amorphous, Non‐Stoichiometric Gallium Oxide
Advanced Electronic Materials, Volume 11, Issue 4, April 2025.The combination of experimental evidence, ab‐initio DOS calculations and quantitative modeling by kinetic Monte Carlo simulations reveals: Variable‐range hopping (VRH) is the dominant electron conduction mechanism in a‐GaOx (x = 0.8 to 1.0), even at room temperature, which leads to a new, fundamental understanding of a‐GaOx‐based electronic devices ...
Philipp Hein +7 more
wiley +1 more source
Properties related to Fermat Primes, their connectedness with Mersenne Numbers and the reason why there are not infinite many Mersenne Primes and Perfect Numbers.
César Aguilera (17784863)
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A characterization of some finite simple groups by their character codegrees
Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley +1 more source
High performance FPGA implementation of the mersenne twister [PDF]
, 2008 Efficient generation of random and pseudorandom sequences is of great importance to a number of applications [4]. In this paper, an efficient implementation of the Mersenne Twister is presented. The proposed architecture has the smallest footprint of all
Shrutisagar Chandrasekaran +3 more
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ON THE THIRD SMARANDACHE CONJECTURE ABOUT PRIMES [PDF]
, 2001 In this paper one basically verifies the third Smarandache conjecture on ...
Le, Maohua
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