Results 11 to 20 of about 144,627 (278)
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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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
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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
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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
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Approximation model based on LSTM for predicting the next prime number in an infinite sequence [PDF]
E3S Web of Conferences, 2023 Prime numbers are a special set of natural numbers that have captured the attention of mathematicians since ancient times. As prime numbers are a fundamental component in many areas of mathematics, they have naturally found wide applications in various ...
Pylov Petr +2 more
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A Relation between Prime Numbers and Twin Prime Numbers [PDF]
Mathematical and Computational Applications, 2001 Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers. A relation between any prime numberand any twin prime number has been obtained.
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Proceedings of the American Mathematical Society, 2019 Rubinstein and Sarnak have shown, conditional on the Riemann hypothesis (RH) and the linear independence hypothesis (LI) on the nonreal zeros of ζ ( s ) \zeta (s) , that the set of real numbers x ≥ 2 x\ge 2 for which π ( x ) &
Lichtman, Jared Duker +2 more
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On the numbers that determine the distribution of twin primes [PDF]
Surveys in Mathematics and its Applications, 2018 This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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The occurrence of prime numbers revisited
GECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2016 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 smaller
Ernesto Tapia Moore, José Tapia Yañez
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Carmichael Numbers with a Prime Number of Prime Factors
, 2022 Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers $n$ such that the number of prime factors of $n$ is prime.
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