Results 31 to 40 of about 992 (177)
Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]
Notes on Number Theory and Discrete MathematicsLet ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
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Algorithms, 2023 In this paper, a hybrid nature-inspired metaheuristic algorithm based on the Genetic Algorithm and the African Buffalo Optimization is proposed. The hybrid approach adaptively switches between the Genetic Algorithm and the African Buffalo Optimization ...
Marko Gulić, Martina Žuškin
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Journal of Science and Arts, 2021 In this paper, we define Gaussian Mersenne numbers and we give some properties of them. Moreover we present some relations among Gaussian Mersenne numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal-Lucas numbers. We also present some results with matrices involving Gaussian Mersenne numbers.
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Fast, high-quality pseudo random number generators for heterogeneous computing [PDF]
EPJ Web of ConferencesRandom number generation is key to many applications in a wide variety of disciplines. Depending on the application, the quality of the random numbers from a particular generator can directly impact both computational performance and critically the ...
Barbone Marco +7 more
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Glasnik matematički, 2016 For an integer k≥ 2, let (Fn(k))n be the k-Fibonacci sequence which starts with 0,...,0,1 (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we find all k-Fibonacci numbers which are Mersenne numbers, i.e., k-Fibonacci numbers that are equal to 1 less than a power of 2.
Bravo, Jhon J., Gómez, Carlos A.
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Acerca de algunos exponentes de Mersenne (About some Mersenne exponents)
Revista Digital Matemática, Educación e InternetLos números primos de Mersenne crecen de manera vertiginosa y se vuelven intratables con las herramientas de cómputo actuales. En este trabajo se repasan brevemente las cadenas de Mersenne para mostrar cómo ese crecimiento exponencial impone un límite en
Gerardo Miramontes de León
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Computer Assisted Surgery, 2019 Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin +2 more
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EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS [PDF]
Journal of the Australian Mathematical Society, 2012 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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On Mersenne Finite Operators and Their Quaternion Counterparts
Cumhuriyet Science JournalIn this study, we introduce the Mersenne finite operator sequences, derived by applying a finite operator to Mersenne sequences, and investigate their fundamental properties. We establish the recurrence relations, derive a Binet-like formula, and present
Bahar Kuloǧlu
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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
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