Correlation between Prime Number Set Cardinalities and Mersenne Numbers - Articles

Infinite Number of Twin Primes (Articles)

S. N. Baibekov, A. A. Durmagambetov

Advances in Pure Mathematics Vol.6 No.13, December 15, 2016

DOI: 10.4236/apm.2016.613073 2,705 Downloads 9,473 Views Citations
On the Expression of Composite Natural Numbers as Tensorial Products of Prime Natural Powers Vectors (Articles)

Debraj Nath, Ramon Carbó-Dorca

Journal of Applied Mathematics and Physics Vol.11 No.6, June 30, 2023

DOI: 10.4236/jamp.2023.116112 189 Downloads 731 Views Citations
A Geometric Proof of Fermat’s Little Theorem (Articles)

Thomas Beatty, Marc Barry, Andrew Orsini

Advances in Pure Mathematics Vol.8 No.1, January 24, 2018

DOI: 10.4236/apm.2018.81004 1,487 Downloads 5,336 Views Citations
The Numbers of Thousand Place of Mersenne Primes (Articles)

Sibao Zhang, Lihang Zhou

Applied Mathematics Vol.2 No.11, November 30, 2011

DOI: 10.4236/am.2011.211190 4,992 Downloads 9,425 Views Citations
Asymptotic Harmonic Behavior in the Prime Number Distribution (Articles)

Maurice H. P. M. van Putten

Applied Mathematics Vol.5 No.16, September 4, 2014

DOI: 10.4236/am.2014.516244 5,438 Downloads 6,970 Views Citations
Development of New Method for Generating Prime Numbers (Articles)

Seidikassym Baibekov, Serik Altynbek

Natural Science Vol.7 No.8, August 18, 2015

DOI: 10.4236/ns.2015.78044 2,711 Downloads 4,787 Views Citations
Generalized Legendre-Stirling Numbers (Articles)

K. C. Garrett, Kendra Killpatrick

Open Journal of Discrete Mathematics Vol.4 No.4, October 17, 2014

DOI: 10.4236/ojdm.2014.44014 3,887 Downloads 5,384 Views Citations
The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence (Articles)

Leo Depuydt

Advances in Pure Mathematics Vol.4 No.8, August 22, 2014

DOI: 10.4236/apm.2014.48051 4,811 Downloads 7,043 Views Citations
How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ) (Articles)

John Richard Wisdom

Advances in Pure Mathematics Vol.14 No.4, April 17, 2024

DOI: 10.4236/apm.2024.144014 228 Downloads 1,082 Views Citations
Decomposing Even Integers into Prime and Composite Parts (Articles)

Seonghwan Yang

Open Journal of Discrete Mathematics Vol.15 No.4, September 3, 2025

DOI: 10.4236/ojdm.2025.154006 101 Downloads 484 Views Citations
There Are Infinitely Many Mersnne Composite Numbers with Prime Exponents (Articles)

Fengsui Liu

Advances in Pure Mathematics Vol.8 No.7, July 31, 2018

DOI: 10.4236/apm.2018.87041 1,007 Downloads 3,329 Views Citations
The Infinity of the Number of Pairs of Equidistant Primes around Any Integer over Three (Articles)

Pal Doroszlai, Horacio Keller

Advances in Pure Mathematics Vol.15 No.3, March 7, 2025

DOI: 10.4236/apm.2025.153008 126 Downloads 663 Views Citations
Polysurfacic Tori or Kideas Inspired by the Möbius Strip Topology (Articles)

Emmanuel Cadier Anaxhaoza

Advances in Pure Mathematics Vol.13 No.9, August 31, 2023

DOI: 10.4236/apm.2023.139036 202 Downloads 1,084 Views Citations
The Genesis of Prime Numbers—Revealing the Underlying Periodicity of Prime Numbers (Articles)

Xin Wang

Advances in Pure Mathematics Vol.11 No.1, January 18, 2021

DOI: 10.4236/apm.2021.111002 892 Downloads 4,901 Views Citations
The Primes and Their Subsets as Continuum like the Integers (Articles)

Pal Doroszlai, Horacio Keller

Advances in Pure Mathematics Vol.13 No.12, December 29, 2023

DOI: 10.4236/apm.2023.1312051 247 Downloads 830 Views Citations
Super Congruences Involving Alternating Harmonic Sums (Articles)

Zhongyan Shen, Tianxin Cai

Advances in Pure Mathematics Vol.10 No.10, October 29, 2020

DOI: 10.4236/apm.2020.1010037 449 Downloads 1,496 Views Citations
The Computing Formula of Number of Primes No More than Any Given Positive Integer (Articles)

Maoze Wang, Zhenxiang He, Meiyi Wang

Advances in Pure Mathematics Vol.12 No.3, March 31, 2022

DOI: 10.4236/apm.2022.123018 337 Downloads 2,519 Views Citations
Integral Sequences of Infinite Length Whose Terms Are Relatively Prime (Articles)

Kazuyuki Hatada

Advances in Pure Mathematics Vol.3 No.1, January 23, 2013

DOI: 10.4236/apm.2013.31005 5,078 Downloads 8,704 Views Citations
Levely Multiplicative Functions on N (Articles)

Salahddeen Khalifa, Moamar Alamari

Advances in Pure Mathematics Vol.15 No.9, September 25, 2025

DOI: 10.4236/apm.2025.159033 71 Downloads 338 Views Citations
Collatz Conjecture Redefinition on Prime Numbers (Articles)

Ramon Carbó-Dorca

Journal of Applied Mathematics and Physics Vol.11 No.1, January 20, 2023

DOI: 10.4236/jamp.2023.111011 508 Downloads 3,703 Views Citations

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