Results 1 to 10 of about 1,802,459 (260)
On a Dynamical Approach to Some Prime Number Sequences [PDF]
Entropy, 2018 We show how the cross-disciplinary transfer of techniques from dynamical systems theory to number theory can be a fruitful avenue for research. We illustrate this idea by exploring from a nonlinear and symbolic dynamics viewpoint certain patterns ...
Lucas Lacasa +3 more
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Computational challenges and solutions: Prime number generation for enhanced data security. [PDF]
PLoS ONEThis paper addresses the computational methods and challenges associated with prime number generation, a critical component in encryption algorithms for ensuring data security.
Amal Ezz-Eldien +6 more
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ریاضی و جامعه, 2022 Translator's abstractThis paper deals with one of the important and interesting topics in Number Theory under the title of prime number races, which is less discussed in Persian texts. All prime numbers (except 2) can be written in the form 4n+1 or 4n+3.
Mohammad Reza Esfandiari
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A Remark on the Factorization of Factorials [PDF]
Mathematics Interdisciplinary Research, 2021 The subject of this paper is to study distribution of the prime factors p and their exponents, which we denote by vp (n!), in standard factorization of n! into primes. We show that for each θ > 0 the primes p not exceeding nθ eventually assume almost all
Mehdi Hassani, Mahmoud Marie
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The average value of a certain number-theoretic function over the primes [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We consider functions F:ℤ_{≥0}→ℤ_{≥0} for which there exists a positive integer n such that two conditions hold: F(p) divides n for every prime p, and for each divisor d of n and every prime p, we have that d divides F(p) iff d divides F(p mod d ...
Louis Rubin
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ALTERNATIVE PROOF OF THE INFINITUDE PRIMES AND PRIME PROPERTIES
Barekeng, 2023 Prime numbers is one of kind number that have many uses, one of which is cryptography. The uniqueness of prime numbers in their divisors and distributions causes prime numbers to be widely used in digital security systems. In number theory, one of famous
Dinni Rahma Oktaviani +2 more
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Blockchain Security Mechanism Design Based on Chinese Cryptosystem SM2 Algorithm
Mathematics, 2023 The cryptographic system is the foundation of blockchain security mechanisms. This paper constructs a blockchain security mechanism based on the Chinese national cryptographic SM2 algorithm, involving the generation of public–private key pairs and the ...
Lu Meng, Zeyao Liu
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On the number of edges of a graph and its complement [PDF]
Arab Journal of Mathematical Sciences, 2021 Let G=(V,E) be a graph. The complement of G is the graph G¯:=(V,[V]2 \ E) where [V]2 is the set of pairs {x,y} of distinct elements of V. If K is a subset of V, the restriction of G to K is the graph G↾K:=(K,[K]2∩E).
Jamel Dammak +2 more
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Relation between Prime and Composite Number
Bibechana, 2018 This article was not peer-reviewed. No abstract available.
Raju Ram Thapa
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On the Universal Encoding Optimality of Primes
Mathematics, 2021 The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows
Ioannis N. M. Papadakis
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