A ternary Diophantine inequality with prime numbers of a special form
Sign Up to like & getrecommendations! Published in 2021 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-021-00415-9
Abstract: Let N be a sufficiently large real number. In this paper, we prove that, for $$1 read more here.
Keywords: ternary diophantine; diophantine; inequality prime; diophantine inequality ... See more keywords
Uncovering multiscale order in the prime numbers via scattering
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aad6be
Abstract: The prime numbers have been a source of fascination for millenia and continue to surprise us. Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materials science, we show that the… read more here.
Keywords: order; multiscale order; uncovering multiscale; order prime ... See more keywords
Prime numbers and random walks in a square grid.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.054114
Abstract: In recent years, computer simulations have played a fundamental role in unveiling some of the most intriguing features of prime numbers. In this paper, we define an algorithm for a deterministic walk through a two-dimensional… read more here.
Keywords: square grid; walk; numbers random; random walks ... See more keywords
Relation between the Values of Prime Numbers and Their Numbers
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DOI: 10.1134/s1063776121060066
Abstract: The Euler equation gives a set of an infinite number of relations between the values of prime numbers and their numbers. These relations are implemented by conditionally convergent series. An analytic function implementing these relations… read more here.
Keywords: relation values; values prime; prime numbers; numbers numbers ... See more keywords
Advanced Mathematical Formulas to Calculate Prime Numbers
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics in Computer Science"
DOI: 10.11648/j.mcs.20210606.12
Abstract: Prime numbers are the core of mathematics and specifically of number theory. The application of prime numbers in modern science, especially in computer science, is very wide. The importance of prime numbers has increased especially… read more here.
Keywords: prime number; advanced mathematical; calculate prime; mathematics ... See more keywords
Optical Eratosthenes' sieve for large prime numbers.
Sign Up to like & getrecommendations! Published in 2020 at "Optics express"
DOI: 10.1364/oe.389347
Abstract: We report the first experimental demonstration of a prime number sieve via linear optics. The prime numbers distribution is encoded in the intensity zeros of the far field produced by a spatial light modulator hologram,… read more here.
Keywords: far field; sieve large; eratosthenes sieve; optical eratosthenes ... See more keywords