Results 31 to 40 of about 11,676,412 (344)
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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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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Relatively Prime Detour Domination Number of Some Switching Graphs
Ratio Mathematica, 2023 In this paper, we introduce the concept of relatively prime detour domination number for switching graph. If a set S ⊆ V is a detour set, a dominating set with at least two elements, and has (deg(u), deg(v)) = 1 for each pair of vertices u and v, then it
C Jayasekaran, L. G. Binoja
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Thirty-nine perfect numbers and their divisors
International Journal of Mathematics and Mathematical Sciences, 1986 The following results concerning even perfect numbers and their divisors are proved: (1) A positive integer n of the form 2p−1(2p−1), where 2p−1 is prime, is a perfect number; (2) every even perfect number is a triangular number; (3) τ(n)=2p, where τ(n ...
Syed Asadulla
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Prime ideal graphs of commutative rings
Indonesian Journal of Combinatorics, 2022 Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
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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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Prime-number-assisted block-based neighbor discovery protocol in wireless sensor networks
Int. J. Distributed Sens. Networks, 2019 During the initial deployment time, wireless sensors continually search their neighbors. The neighbor discovery is not an one-time event because the network topology can be changed anytime due to node mobility and failure. The neighbor discovery protocol
W. Lee, Jong-Hoon Youn, Teukseob Song
semanticscholar +1 more source
Counting stabiliser codes for arbitrary dimension [PDF]
Quantum, 2023 In this work, we compute the number of $[[n,k]]_d$ stabilizer codes made up of $d$-dimensional qudits, for arbitrary positive integers $d$. In a seminal work by Gross \cite{Gross2006} the number of $[[n,k]]_d$ stabilizer codes was computed for the case ...
Tanmay Singal +5 more
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Annals of Mathematics and PhysicsThis paper introduces a novel approach to estimating the sum of prime numbers by leveraging insights from partition theory, prime number gaps, and the angles of triangles.
Zaman Budee U
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