Euclid’s Proof of the Primes’ Infinitude - Articles

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 4,720 Downloads 6,776 Views Citations
The Proof of Goldbach’s Conjecture on Prime Numbers (Articles)

Silviu Guiasu

Natural Science Vol.11 No.9, September 29, 2019

DOI: 10.4236/ns.2019.119029 1,621 Downloads 16,542 Views Citations
Remarks on Goldbach’s Conjecture on Prime Numbers (Articles)

Silviu Guiasu

Natural Science Vol.11 No.12, December 19, 2019

DOI: 10.4236/ns.2019.1112036 1,252 Downloads 5,003 Views Citations
On the Existence of Non-Intersecting Straight Lines on the Plane (Articles)

Andrew Chubykalo, Sergey Artekha

Journal of Modern Physics Vol.9 No.5, April 10, 2018

DOI: 10.4236/jmp.2018.95052 1,025 Downloads 2,240 Views Citations
The Mathematics of Harmony. Proclus’ Hypothesis and New View on Euclid’s Elements and History of Mathematics Starting since Euclid (Articles)

Alexey Stakhov

Applied Mathematics Vol.5 No.21, December 1, 2014

DOI: 10.4236/am.2014.521311 7,596 Downloads 9,959 Views Citations
The Periodic Table of Primes (Articles)

Han-Lin Li, Shu-Cherng Fang, Way Kuo

Advances in Pure Mathematics Vol.14 No.5, May 31, 2024

DOI: 10.4236/apm.2024.145023 660 Downloads 7,214 Views Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World (Articles)

Alexey Stakhov, Samuil Aranson

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27056 4,067 Downloads 5,961 Views Citations
The Study of the Polignac Numbers (Articles)

J. Czopik

Advances in Pure Mathematics Vol.9 No.6, June 30, 2019

DOI: 10.4236/apm.2019.96027 1,342 Downloads 2,118 Views Citations
Chromatic Number of Graphs with Special Distance Sets-V (Articles)

Venkataraman Yegnanarayanan, Angamuthu Parthiban

Open Journal of Discrete Mathematics Vol.3 No.1, January 29, 2013

DOI: 10.4236/ojdm.2013.31001 4,224 Downloads 8,327 Views Citations
Primes in Arithmetic Progressions to Moduli with a Large Power Factor (Articles)

Ruting Guo

Advances in Pure Mathematics Vol.3 No.7A, October 30, 2013

DOI: 10.4236/apm.2013.37A003 4,568 Downloads 7,910 Views Citations
This article belongs to the Special Issue on Number Theory and Crytography
The Integral of the Inverse of the Primes (Articles)

Pal Doroszlai, Horacio Keller

Advances in Pure Mathematics Vol.13 No.5, May 30, 2023

DOI: 10.4236/apm.2023.135018 194 Downloads 847 Views Citations
Symmetry of the Composite Numbers (Articles)

Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin

Advances in Pure Mathematics Vol.16 No.1, January 27, 2026

DOI: 10.4236/apm.2026.161006 97 Downloads 368 Views Citations
Area inside a Circle: Intuitive and Rigorous Proofs (Articles)

Vali Siadat

American Journal of Computational Mathematics Vol.7 No.1, March 31, 2017

DOI: 10.4236/ajcm.2017.71009 1,701 Downloads 3,378 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21009 6,781 Downloads 12,866 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.2, February 25, 2011

DOI: 10.4236/am.2011.22020 6,498 Downloads 12,340 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23033 6,676 Downloads 12,995 Views Citations
Some Notes on the Distribution of Mersenne Primes (Articles)

Sibao Zhang, Xiaocheng Ma, Lihang Zhou

Applied Mathematics Vol.1 No.4, October 29, 2010

DOI: 10.4236/am.2010.14041 6,011 Downloads 11,214 Views Citations
On the Sum of Reciprocals of Mersenne Primes (Articles)

Yoshihiro Tanaka

American Journal of Computational Mathematics Vol.7 No.2, June 8, 2017

DOI: 10.4236/ajcm.2017.72012 1,911 Downloads 4,270 Views Citations
The Symmetric Series of Multiples of Primes (Articles)

Pal Doroszlai, Horacio Keller

Advances in Pure Mathematics Vol.12 No.3, March 18, 2022

DOI: 10.4236/apm.2022.123014 299 Downloads 1,153 Views Citations
The Gaps between Primes (Articles)

Pal Doroszlai, Horacio Keller

Advances in Pure Mathematics Vol.12 No.12, December 30, 2022

DOI: 10.4236/apm.2022.1212058 270 Downloads 1,304 Views Citations

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