Results 21 to 30 of about 1,598,417 (209)
Mersenne version of Brocard-Ramanujan equation
Journal of New Results in Science, 2023 In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ayşe Nalli, Seyran İbrahimov
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A study on the number of edges of some families of graphs and generalized Mersenne numbers
Ratio Mathematica, 2022 The relationship between the Nandu sequence of the SM family of graphs and the Generalized Mersenne numbers is demonstrated in this study. Nandu sequences are related to the two families of SM sum graphs and SM Balancing graphs.
K.G. Sreekumar +3 more
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The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers
WSEAS Transactions on Mathematics, 2023 In this study, the main goal is to investigate the r-circulant matrices of k-Fermat and k-Mersenne numbers, then to find eigenvalues, determinants of these matrices, to evaluate their different norms (Spectral and Euclidean) and finally to find the right
B. Kuloǧlu, Engin Eser, E. Özkan
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Quantitative Microbial Risk Assessment of Human H5N1 Infection From Consumption of Fluid Cow's Milk. [PDF]
Risk AnalABSTRACT The spillover of H5N1 clade 2.3.4.4b into dairy cattle has raised concerns over the safety of fluid milk. While no foodborne infection has been reported in humans, this strain has infected at least 70 people, and milk from infected cows is known to be infected by ingestion of multiple other species.
Koebel KJ +7 more
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Contributions Discret. Math., 2023 In this paper, we define the generalized k-Mersenne numbers and give a formula of generalized Mersenne polynomials and further, we study their properties.
Munesh Kumari, J. Tanti, K. Prasad
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Leading Digits of Mersenne Numbers [PDF]
Experimental Mathematics, 2019 It has long been known that sequences such as the powers of $2$ and the factorials satisfy Benford's Law; that is, leading digits in these sequences occur with frequencies given by $P(d)=\log_{10}(1+1/d)$, $d=1,2,\dots,9$. In this paper, we consider the leading digits of the Mersenne numbers $M_n=2^{p_n}-1$, where $p_n$ is the $n$-th prime. In light of
Zhaodong Cai +4 more
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Revista Matemática Iberoamericana, 2021 Motivated by recently developed interest to the distribution of q -ary digits of Mersenne numbers M_p = 2^p-1 , where p
Bryce Kerr +2 more
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On the solution of the exponential Diophantine equation 2x+m2y=z2, for any positive integer m [PDF]
Journal of Hyperstructures, 2023 It is well known that the exponential Diophantine equation 2x+ 1=z2 has the unique solution x=3 and z=3 innon-negative integers, which is closely related to the Catlan's conjecture.
Mridul Dutta, Padma Bhushan Borah
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Mathematics of Computation, 1958 Im Jahre 1957 prüfte der Verf. mit Hilfe der Maschine BESK die Mersenneschen Zahlen \(M_p = 2^p-1\) für \(p < 10,000\). Und zwar zunächst alle diese auf etwaige Teiler \(< 10\cdot 2^{20}\) und hierauf diejenigen für \(2300 < p < 3300\), bei denen sich kein solcher Teiler ergab, nach dem Lucas-Test auf ihre Primheit. Dabei ergab sich nur \(2^{3217}- 1\)
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On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
مجلة بغداد للعلوم, 2023 In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
B. Malini Devi, S. Devibala
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