Results 31 to 40 of about 12,813,623 (299)
Prime number decomposition using the Talbot effect. [PDF]
Optics Express, 2018 We report on prime number decomposition by use of the Talbot effect, a well-known phenomenon in classical near field optics whose description is closely related to Gauss sums.
K. Pelka +3 more
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About finding of prime numbers that follow after given prime number without using computer
Дифференциальная геометрия многообразий фигур, 2020 It is shown how to define one or several prime numbers following after given prime number without using computer only by calculating several arithmetic progressions. Five examples of finding such prime numbers are given.
V.S. Malakhovsky
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Inclusive prime number races [PDF]
Transactions of the American Mathematical Society, 2017 Let $\pi(x;q,a)$ denote the number of primes up to $x$ that are congruent to $a$ modulo $q$. A prime number race, for fixed modulus $q$ and residue classes $a_1, \ldots, a_r$, investigates the system of inequalities $\pi(x;q,a_1) > \pi(x;q,a_2) > \cdots >
G. Martin, Nathan Ng
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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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On the clique number of Paley graphs of prime power order [PDF]
Finite Fields Their Appl., 2020 Finding a reasonably good upper bound for the clique number of Paley graph is an old and open problem in additive combinatorics. A recent breakthrough by Hanson and Petridis using Stepanov's method gives an improved upper bound on $\mathbb{F}_p$, where ...
Chi Hoi Yip
semanticscholar +1 more source
On some characteristics of subset of prime numbers
Дифференциальная геометрия многообразий фигур, 2019 The set of prime numbers p ≥ 5 is divided into two nonoverlapping subset P1 = {6k1 - 1}, P2 = {6k2 + 1}, where ki ⋲ A (i = 1,2). Subsets A1, A2 of natural numbers is defined by differences Ai = N\Bi, where B1, B2 are subset {j1}, {j2} defining subsets ...
V. Malakhovsky
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The concept of prime number and the strategies used in explaining prime numbers
South African Journal of Education, 2020 The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher’s knowledge effects the students ...
Nejla Gürefe, Gülfem Sarpkaya Aktaş
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Harmonic sets and the harmonic prime number theorem [PDF]
, 2005 We restrict primes and prime powers to sets H(x)= U∞n=1 (x/2n, x/(2n-1)). Let θH(x)= ∑ pεH(x)log p. Then the error in θH(x) has, unconditionally, the expected order of magnitude θH (x)= xlog2 + O(√x). However, if ψH(x)= ∑pmε H(x) log p then ψH(x)= xlog2+
Broughan, Kevin A., Casey, Rory J.
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Wave Transport and Localization in Prime Number Landscapes
Frontiers in Physics, 2021 In this paper, we study the wave transport and localization properties of novel aperiodic structures that manifest the intrinsic complexity of prime number distributions in imaginary quadratic fields.
Luca Dal Negro +4 more
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A Congruent Property of Gibonacci Number Modulo Prime
International Journal of Analysis and Applications, 2023 Let a, b ∈ Z and p be a prime number such that a and b are not divisible by p. In this work, we give a congruent property modulo a prime number p of the gibonacci number defined by Gn = Gn−1 + Gn−2 with initial condition G1 = a, G2 = b.
Wipawee Tangjai +3 more
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