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Are prime numbers special? Insights from the life sciences [PDF]
Biology Direct, 2022 Prime numbers have been attracting the interest of scientists since the first formulation of Euclid’s theorem in 300 B.C. Nowadays, physicists and mathematicians continue to formulate new theorems about prime numbers, trying to comprehensively explain ...
Maria Loconsole, Lucia Regolin
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The occurrence of prime numbers revisited
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2023 Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or ...
Ernesto Tapia Moore, José Tapia Yañez
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A new explicit algorithmic method for generating the prime numbers in order
Egyptian Informatics Journal, 2021 This paper presents a new method for generating all prime numbers up to a particular number m∈N,m⩾9, by using the set theory. The proposed method is explicit and works oriented in finding the prime numbers in order.
Abd Elhakeem Abd Elnaby, A.H. El-Baz
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Binary expansions of prime reciprocals [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Prime numbers have been always of great interest. In this work, we explore the prime numbers from a sieve other than the Eratosthenes sieve. Given a prime number p, we consider the binary expansion of 1/p and, in particular, the size of the period of 1/p.
Brenda Navarro-Flores +2 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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General Limit Formulae Involving Prime Numbers
Annales Mathematicae Silesianae, 2022 Let pn be the n th prime number. In this note, we study strictly increasing sequences of positive integers An such that the limit limn→∞ (A1A2 · · · An)1/pn = e holds.
Farhadian Reza, Jakimczuk Rafael
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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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Advances in Mathematical Physics, 2021 The prime numbers have attracted mathematicians and other researchers to study their interesting qualitative properties as it opens the door to some interesting questions to be answered.
M. Abdel-Mageed +3 more
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Prime Slaughter: Playful Prime Numbers [PDF]
, 2012 Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transposition of primality and factorization into playful interactions,
Valente, Andrea, Marchetti, Emanuela
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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
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