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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
314
Downloads
2,277
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
686
Downloads
2,051
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
80
Downloads
568
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
151
Downloads
989
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
1,456
Downloads
5,242
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
439
Downloads
3,467
Views
Citations
Residue Recurrence and Scaling Properties in the Complex Embedding of Prime Numbers
(Articles)
Levente Csóka
Advances in Pure Mathematics
Vol.16 No.1
, January 23, 2026
DOI:
10.4236/apm.2026.161004
65
Downloads
273
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
861
Downloads
3,007
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
658
Downloads
2,076
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
7,868
Downloads
14,062
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
1,187
Downloads
4,952
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
964
Downloads
2,850
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
4,745
Downloads
6,893
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
842
Downloads
2,107
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
4,523
Downloads
7,611
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
2,887
Downloads
4,014
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
5,908
Downloads
18,126
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
277
Downloads
1,554
Views
Citations
Riemann Hypothesis, Catholic Information and Potential of Events with New Techniques for Financial and Other Applications
(Articles)
Prodromos Char. Papadopoulos
Advances in Pure Mathematics
Vol.11 No.5
, May 31, 2021
DOI:
10.4236/apm.2021.115036
363
Downloads
1,455
Views
Citations
Winter Map Inverses
(Articles)
Thomas B. Gregory
Advances in Pure Mathematics
Vol.4 No.7
, July 7, 2014
DOI:
10.4236/apm.2014.47040
2,956
Downloads
4,143
Views
Citations
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