Results 11 to 20 of about 156,880 (305)
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 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 +9 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,
Andrea Valente, Emanuela Marchetti
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ON A NEW CLASS OF SMARANDACHE PRIME NUMBERS [PDF]
, 2005 The purpose of this note is to report on the discovery of some new prime numbers that were built from factorials, the Smarandache Consecutive Sequence, and the Smarandache Reverse ...
Earls, Jason
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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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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 +2 more
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