D. A. Goldston, Andrew Ledoan,
... champions greater than 1 are 4 and the primorials . In this paper, we prove that an appropriate ... implies that all sufficiently large jumping champions are primorials and that all sufficiently large primorials are jumping champions over a long range of .
Tópico(s): Coding theory and cryptography
2015 - Wiley | Mathematika
... is even or when k is an odd primorial, thus extending a recent result of Hajdu and ...
Tópico(s): Limits and Structures in Graph Theory
2011 - University of Debrecen | Publicationes Mathematicae Debrecen
Bruno Massé, Dominique Schneider,
... show that the sequence of mantissas of the primorial numbers $P_n$, defined as the product of ...
Tópico(s): Complex Systems and Time Series Analysis
2014 - Polish Academy of Sciences | Acta Arithmetica
... may change during the cell cycle. As the primorial spindle grows, the microtubule (MT) cytoskeleton associated with ...
Tópico(s): Photosynthetic Processes and Mechanisms
1991 - Elsevier BV | International review of cytology
... of separable states assume certain remarkable forms, involving "primorial" numbers. We also estimate the SD area of ...
Tópico(s): Quantum Computing Algorithms and Architecture
2003 - IOP Publishing | Journal of Optics B Quantum and Semiclassical Optics
D. A. Goldston, Andrew Ledoan,
... that are jumping champions are 4 and the primorials 2, 6, 30, 210, 2310,…. As a step ...
Tópico(s): graph theory and CDMA systems
2011 - World Scientific | International Journal of Number Theory
... common difference is an integer divisible by the primorial W ( N ) . This procedure removes potential irregularities in ...
Tópico(s): Advanced Mathematical Identities
2020 - Wiley | Proceedings of the London Mathematical Society
... prod _{i = 1}^{m} q_{i}$$ is the primorial number of order m, $$q_{m}$$ is the ...
Tópico(s): Advanced Mathematical Identities
2022 - Springer Science+Business Media | The Ramanujan Journal
Michel Planat, Patrick Solé, Sami Omar,
... written as where Nq = ∏qk = 1pk is the primorial number of order q and ψb is a ...
Tópico(s): Analytic Number Theory Research
2011 - Institute of Physics | Journal of Physics A Mathematical and Theoretical
Les titres primordiaux constituent un ensemble de documents en langue nahuatl rédigés dans le Mexique colonial par des seigneurs et des notables indiens dans le but de légitimer la possession de leurs terres. La comparaison avec des codex et des cartes émanant d'autres peuples (Mixtèques, P'urhépechas, Mayas) met au jour les composantes communes et archaïques de ces textes. Toutefois, le symbolisme méso-américain de la fondation d'une cité avec son terroir est altéré par l'utilisation d'une iconographie, ...
Tópico(s): Politics and Society in Latin America
2001 - Éditions de l'EHESS | Études rurales
... extended from a relatively short interval after each primorial # P to an infinite numbers of similar intervals on both sides of primorials # n P , where n is a positive integer. ... prime when added to or subtracted from the primorial # j P multiplied by an integer n.
Tópico(s): History and Theory of Mathematics
2014 - | British Journal of Mathematics & Computer Science
... champions greater than 1 are 4 and the primorials 2, 6, 30, 210, 2310, . . . .Conjecture 1.2. ...
Tópico(s): Artificial Intelligence in Games
2012 - Polish Academy of Sciences | Acta Arithmetica
Scott Funkhouser, D. A. Goldston, Dipendra C. Sengupta, Jharna D. Sengupta,
... sufficiently large x the PDCs run through the primorials. Numerical results also provide evidence for this conjecture ... of prime factors when counted logarithmically as the primorials.
Tópico(s): Coding theory and cryptography
2020 - Springer International Publishing | Springer optimization and its applications
Let Nk denote the kth primorial and let K(x) be the primorial counting function, the function that counts the number of primorials not exceeding x. In this note, we examine ...
Tópico(s): Advanced Mathematical Theories
2024 - Taylor & Francis | American Mathematical Monthly
The primorial p # of a prime p is the product of all primes q ≤ p . Let pr ( n ) denote ...
Tópico(s): Mathematics and Applications
2020 - Duke University Press | Illinois Journal of Mathematics
... p_n# (an even number multiplied by a primorial) up to n = 5134, where c is on ...
Tópico(s): Finite Group Theory Research
2024 - RELX Group (Netherlands) | SSRN Electronic Journal
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Tópico(s): Analytic Number Theory Research
2015 - Cambridge University Press | The Mathematical Gazette
Tópico(s): Algebraic Geometry and Number Theory
2017 - | International Mathematical Forum
Veena Narayanan, V. Yegnanarayanan, R Srikanth,
... this paper we probed some interesting aspects of primorial and factorial primes. We did some numerical analysis ...
Tópico(s): Cognitive Computing and Networks
2019 - Blue Eyes Intelligence Engineering and Sciences Publication | International Journal of Innovative Technology and Exploring Engineering
For a prime number $p$, we consider its primorial $P:=p\#$ and $U(P):={\left(\ZZ{P}\ ... li> <li>For a prime $p$ and its primorial $P:=p\#$, we particularize the formula again to ...
Tópico(s): Limits and Structures in Graph Theory
2024 - | Notes on Number Theory and Discrete Mathematics
Reza Farhadian, Rafael Jakimczuk,
... integers, including, for example, Bell numbers, factorials and primorials. In fact, we establish some general asymptotic formulas ... e . Furthermore, we present a generalization of the primorial.
Tópico(s): Advanced Mathematical Identities
2021 - De Gruyter Open | Annales Mathematicae Silesianae
S. Chatterjee, Aroonkumar Beesham, B. Bhui, Tanwi Ghosh,
... mechanism pointing to a smooth transition from a primorial multidimensional, inhomogeneous phase to a 4D homogeneous one.
Tópico(s): Cosmology and Gravitation Theories
1998 - American Physical Society | Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
Luis Alberto Ramírez Castellanos,
... la forma Pn#+1 (donde Pn# es el primorial) son primos, y se da otra demostración del ...
Tópico(s): Probability and Statistical Research
2017 - Universidad Nacional Abierta y a Distancia | Publicaciones e Investigación
Vamsi kiran Mekatohti, B. Nithya,
... move sequence, and the binary logarithm of the primorial sequence to regulate congestion window growth in the ...
Tópico(s): Wireless Networks and Protocols
2024 - Wiley | International Journal of Communication Systems
... easy proofs that \(e,\sin 1\), and the primorial constant are irrational. Our main result is that, ...
Tópico(s): Functional Equations Stability Results
2021 - Springer International Publishing | Springer proceedings in mathematics & statistics
Reza Farhadian, Rafael Jakimczuk,
... n prime numbers, which is called the nth primorial. It is well-known that . In this note, ...
Tópico(s): Advanced Mathematical Theories
2022 - Taylor & Francis | Journal of Interdisciplinary Mathematics