A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms
Joint Authors
Mayer, B. L.
Monteiro, L. H. A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-10
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let a d-prime be a positive integer number with d divisors.
From this definition, the usual prime numbers correspond to the particular case d=2.
Here, the seemingly random sequence of gaps between consecutive d-primes is numerically investigated.
First, the variability of the gap sequences for d∈2,3,…,11 is evaluated by calculating the informational entropy.
Then, these sequences are mapped into graphs by employing two visibility algorithms.
Computer simulations reveal that the degree distribution of most of these graphs follows a power law.
Conjectures on how some topological features of these graphs depend on d are proposed.
American Psychological Association (APA)
Mayer, B. L.& Monteiro, L. H. A.. 2020. A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms. Complexity،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1139909
Modern Language Association (MLA)
Mayer, B. L.& Monteiro, L. H. A.. A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms. Complexity No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1139909
American Medical Association (AMA)
Mayer, B. L.& Monteiro, L. H. A.. A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms. Complexity. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1139909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139909