Results 51 to 60 of about 8,955,762 (211)
Mersenne primes, renowned for their captivating form as [Formula: see text] have intrigued mathematicians for centuries. In this paper, we embark on a captivating quest to unveil the intricate nature of Mersenne primes, seamlessly integrating methods ...
Moustafa Ibrahim
doaj +1 more source
On recognition of simple group L2(r) by the number of Sylow subgroups
Let G be a finite group and n_{p}(G) be the number of Sylow p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not ...
Alireza Khalili Asboei +1 more
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Sum of Squares of ‘m’ Consecutive Woodall Numbers
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
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On the square-freeness of Fermat and Mersenne numbers [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warren, Leroy J., Bray, Henry G.
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Nathaniel Culverwell's stoic theory of common notions
Abstract This article takes a closer look at the theory of knowledge developed by Nathaniel Culverwell in his 1652 Elegant and Learned Discourse of the Light of Nature. Based on Culverwell's endorsement of Edward Herbert of Cherbury against Plato and Aristotle, his critical reception of René Descartes, and his contributions to a controversy between ...
Mogens Lærke
wiley +1 more source
THE FROBENIUS PROBLEM FOR MERSENNE NUMERICAL SEMIGROUPS
In this paper, we give formulas for the embedding dimension, the Frobenius number, the type and the genus for a numerical semigroups generated by the Mersenne numbers greater than or equal to a given Mersenne ...
Rosales, J. C. +2 more
core +1 more source
Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS [PDF]
AbstractWe give new bounds on sums of the form ∑ n≤NΛ(n)exp (2πiagn/m) and ∑ n≤NΛ(n)χ(gn+a), where Λ is the von Mangoldt function, m is a natural number, a and g are integers coprime to m, and χ is a multiplicative character modulo m. In particular, our results yield bounds on the sums ∑ p≤Nexp (2πiaMp/m) and ∑ p≤Nχ(Mp) with Mersenne numbers Mp=2p−1 ...
Banks, William D. +3 more
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ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh +2 more
wiley +1 more source
Random number generators with period divisible by a Mersenne prime
Colloque avec actes et comité de lecture. internationale.International audiencePseudo-random numbers with long periods and good statistical properties are often required for applications in computational finance.
Brent, Richard, P., Zimmermann, Paul
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