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Mersenne Numbers, Recursive Generation of Natural Numbers, and Counting the Number of Prime Numbers
(Articles)
Ramon Carbó-Dorca
Applied Mathematics
Vol.13 No.6
,June 22, 2022
DOI:
10.4236/am.2022.136034
226
Downloads
1,285
Views
Citations
The Proof and Application of a Summation Formula
(Articles)
Yongmin Wang
Advances in Pure Mathematics
Vol.12 No.9
,September 27, 2022
DOI:
10.4236/apm.2022.129042
212
Downloads
1,065
Views
Citations
Extend Bertrand’s Postulate to Sums of Any Primes
(Articles)
Pham Minh Duc
Open Access Library Journal
Vol.10 No.12
,December 18, 2023
DOI:
10.4236/oalib.1110986
51
Downloads
319
Views
Citations
Representation of an Integer by a Quadratic Form through the Cornacchia Algorithm
(Articles)
Moumouni Djassibo Woba
Applied Mathematics
Vol.15 No.9
,September 12, 2024
DOI:
10.4236/am.2024.159037
102
Downloads
518
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
1,333
Downloads
4,670
Views
Citations
Very Original Proofs of Two Famous Problems: “Are There Any Odd Perfect Numbers?” (Unsolved until to Date) and “Fermat’s Last Theorem: A New Proof of Theorem (Less than One and a Half Pages) and Its Generalization”
(Articles)
Demetrius Chr. Poulkas
Advances in Pure Mathematics
Vol.11 No.11
,November 23, 2021
DOI:
10.4236/apm.2021.1111058
372
Downloads
2,759
Views
Citations
A Solution to the Famous “Twin’s Problem”
(Articles)
Prodromos Char. Papadopoulos
Advances in Pure Mathematics
Vol.9 No.9
,September 24, 2019
DOI:
10.4236/apm.2019.99038
753
Downloads
2,482
Views
Citations
Clarifications for the Published Article: “A Solution to the Famous Twin’s Problem” in the APM of SCIRP at 24 September of 2019
(Articles)
Prodromos Char. Papadopoulos
Advances in Pure Mathematics
Vol.10 No.9
,September 29, 2020
DOI:
10.4236/apm.2020.109035
536
Downloads
1,646
Views
Citations
A New Version of Unified Field Theory—Stochastic Quantum Space Theory on Particle Physics and Cosmology
(Articles)
Zhi-Yuan Shen
Journal of Modern Physics
Vol.4 No.10
,October 18, 2013
DOI:
10.4236/jmp.2013.410165
7,100
Downloads
11,503
Views
Citations
Some New Results on Prime Graphs
(Articles)
Samir K. Vaidya
,
Udayan M. Prajapati
Open Journal of Discrete Mathematics
Vol.2 No.3
,July 18, 2012
DOI:
10.4236/ojdm.2012.23019
7,628
Downloads
13,460
Views
Citations
From Witten’s 462 Supercharges of 5-D Branes in Eleven Dimensions to the 95.5 Percent Cosmic Dark Energy Density behind the Accelerated Expansion of the Universe
(Articles)
Mohamed S. El Naschie
Journal of Quantum Information Science
Vol.6 No.2
,April 8, 2016
DOI:
10.4236/jqis.2016.62007
9,064
Downloads
10,208
Views
Citations
A Brief New Proof to Fermat’s Last Theorem and Its Generalization
(Articles)
Demetrius Chr. Poulkas
Journal of Applied Mathematics and Physics
Vol.8 No.4
,April 15, 2020
DOI:
10.4236/jamp.2020.84053
1,069
Downloads
4,350
Views
Citations
One More Assertion to Fermat’s Last Theorem
(Articles)
Balasubramani Prema Rangasamy
Advances in Pure Mathematics
Vol.10 No.6
,June 30, 2020
DOI:
10.4236/apm.2020.106022
792
Downloads
2,299
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
4,591
Downloads
6,171
Views
Citations
Detecting a Regularity in the Generation and Utilization of Primes in the Multiplicative Number Theory
(Articles)
Silviu Guiasu
Natural Science
Vol.11 No.6
,June 25, 2019
DOI:
10.4236/ns.2019.116019
736
Downloads
1,690
Views
Citations
Towards Science Unification through Number Theory
(Articles)
F. M. Sanchez
,
M. H. Grosmann
,
R. Veysseyre
,
H. Veysseyre
,
D. Weigel
Advances in Pure Mathematics
Vol.11 No.1
,January 25, 2021
DOI:
10.4236/apm.2021.111004
520
Downloads
1,901
Views
Citations
Primality Test
(Articles)
Gabriele Martino
American Journal of Computational Mathematics
Vol.3 No.1
,March 28, 2013
DOI:
10.4236/ajcm.2013.31009
4,392
Downloads
7,116
Views
Citations
On the Initial Subalgebra of a Graded Lie Algebra
(Articles)
Thomas B. Gregory
Advances in Pure Mathematics
Vol.4 No.9
,September 22, 2014
DOI:
10.4236/apm.2014.49058
2,778
Downloads
3,679
Views
Citations
The Pattern of Prime Numbers
(Articles)
José William Porras Ferreira
Applied Mathematics
Vol.8 No.2
,February 24, 2017
DOI:
10.4236/am.2017.82015
5,714
Downloads
16,299
Views
Citations
Preliminary Identification of a Prime Number Other Than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer
(Articles)
Mady Ndiaye
Advances in Pure Mathematics
Vol.14 No.1
,January 31, 2024
DOI:
10.4236/apm.2024.141003
200
Downloads
1,148
Views
Citations
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