Results 61 to 70 of about 8,955,762 (211)
The Relation of Tribinomial Coefficients with Triangular, Catalan and Mersenne Number
Science and Technology IndonesiaNumbers are inseparable from mathematics. Each of these types of numbers has its own distinct definition and properties. Numbers are not only used in mathematics, but are also essential in other fields such as philosophy, technology, and science ...
Wamiliana, Desiana Putri, Notiragayu
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Prime power Sylow numbers [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we study finite groups with a prime-power number of Sylow \(p\)-subgroups. Motivated by the work of Yang et al.~(2022), who characterized non-solvable groups with a prime-power number of Sylow $2$-subgroups, we investigate the ...
Alireza Khalili Asboei
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ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
Ford, Kevin +2 more
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On $k$-Mersenne and k-Mersenne-Lucas Octonions
, 2022 This paper aims to introduce the $k$-Mersenne and $k$-Mersenne-Lucas octonions. We give the closed form formulae for these octonions and obtain some well-known identities like Cassini's identity, d'Ocagne's identity, Catalan identity, Vajda's identity ...
Prasad, Kalika +2 more
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Mersenne Primes in Certain Lucas Sequences [PDF]
EPJ Web of ConferencesPrime numbers are the most important numbers in number theory and cryptography. One of such special primes are given by the set of Mersenne primes, that are derived from the form Mn = 2n − 1, where n is a prime number.
Hadi Ahmed H., Hashim Hayder R.
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Divisors of Mersenne numbers [PDF]
Mathematics of Computation, 1983 We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers
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Rocking and Rolling of Rigid Polygons Under Seismic Excitation
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3161-3180, 10 October 2026.ABSTRACT We present an event driven analytical framework for rigid cyclic polygons subjected to horizontal ground excitation in which uplift, impact, and successive pivot switching are treated within a unified non‐smooth dynamical description. Rolling is defined as a sequence of energetically admissible transitions between neighbouring vertices tied to
Atif Rasheed +1 more
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Agrosystems, Geosciences &Environment, Volume 9, Issue 3, September 2026.Abstract Producers have an interest in mitigating yield and profit penalties associated with stand loss. When damage occurs early in the growing season, producers may opt to replant corn (Zea mays L.) to recoup potential yield losses. Likewise, producers could opt against replanting and accept the loss.
Jennifer Sublett +6 more
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Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
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Mersenne and Fermat numbers [PDF]
Proceedings of the American Mathematical Society, 1954 The first seventeen even perfect numbers are therefore obtained by substituting these values of n in the expression 2 n-(2n -1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 21271, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime.
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