Results 21 to 30 of about 11,551,305 (305)
Ratio Mathematica, 2023 In prime labeling, vertices are labeled from 1 to n, with the condition that any two adjacent vertices have relatively prime labels. Coprime labeling maintains the same criterion as prime labeling with adjacent vertices using any set of distinct positive
Janani R, Ramachandran T
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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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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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A conditional explicit result for the prime number theorem in short intervals [PDF]
Research in Number Theory, 2019 This paper gives an explicit bound for the prime number theorem in short intervals under the assumption of the Riemann hypothesis.
Michaela Cully-Hugill, Adrian W. Dudek
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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 ...
C. Yip
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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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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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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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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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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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