Results 11 to 20 of about 1,769,019 (256)

Prime power Sylow numbers [PDF]

Journal of Mahani Mathematical Research
In 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
doaj   +1 more source

Jacob’s Ladder: Prime Numbers in 2D

Mathematical and Computational Applications, 2020
Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are playing a fundamental role in the study of an immense variety of problems.
Alberto Fraile, Roberto Martínez, Daniel Fernández   +2 more
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A Simple Algorithm for Prime Factorization and Primality Testing

Journal of Mathematics, 2022
We propose a new simple and faster algorithm to factor numbers based on the nature of the prime numbers contained in such composite numbers. It is well known that every composite number has a unique representation as a product of prime numbers.
Kabenge Hamiss
doaj   +1 more source

Prime numbers in logarithmic intervals [PDF]

, 2010
Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco, ZACCAGNINI, Alessandro, A. ZACCAGNINI, LANGUASCO, ALESSANDRO, Bazzanella, Danilo, Languasco, A., Zaccagnini, A., Languasco A., Zaccagnini A., D. BAZZANELLA   +9 more
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Distribution of Square Prime Numbers [PDF]

, 2022
For $a \neq 1$ and $p$ prime, we define numbers of the form $pa^2$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056.
Bhat, Raghavendra N., Raghavendra N. Bhat   +1 more
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New properties of divisors of natural number [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
doaj   +1 more source

Smarandache-Wellin Numbers and Primes [PDF]

, 1997
A Smarandache-Wellin Number, SWN(n), in a given base b, is a number resulted from the concatenation of first consecutive prime ...
Ibstedt, h.
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LikeN's - a point of view on natural numbers

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. N with addition and N*=N\{0} with multiplication.
Edward Tutaj
doaj   +1 more source

Prime numbers with a certain extremal type property

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The convex hull of the subgraph of the prime counting function x → π(x) is a convex set, bounded from above by a graph of some piecewise affine function x → ε(x). The vertices of this function form an infinite sequence of points (ek,π(ek))1∞.
Edward Tutaj
doaj   +1 more source

Applications of Smarandache Function, and Prime and Coprime Functions [PDF]

, 2002
A book for people who love numbers: Smarandache Function applied to perfect numbers, congruences.
Ruiz, Sebastián Martín
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