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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
7,045
Views
Citations
On the Connections between Goldbach Conjecture and Prime Number Theorem
(Articles)
Pingyuan Zhou
Advances in Pure Mathematics
Vol.15 No.6
, June 26, 2025
DOI:
10.4236/apm.2025.156020
202
Downloads
2,239
Views
Citations
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
365
Downloads
2,420
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
777
Downloads
2,192
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
607
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
171
Downloads
1,070
Views
Citations
Explaining Systemic Risk in Money Market Funds
(Articles)
Necmi K. Avkiran
Theoretical Economics Letters
Vol.8 No.9
, June 12, 2018
DOI:
10.4236/tel.2018.89098
1,396
Downloads
4,370
Views
Citations
This article belongs to the Special Issue on
Financial Modeling
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
5,341
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
472
Downloads
3,592
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
106
Downloads
362
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
902
Downloads
3,119
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
701
Downloads
2,163
Views
Citations
A New Method to Prove Goldbach’s Conjecture
(Articles)
Zengyong Liang
Advances in Pure Mathematics
Vol.12 No.1
, January 25, 2022
DOI:
10.4236/apm.2022.121001
505
Downloads
3,285
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
7,908
Downloads
14,160
Views
Citations
Unsteady Boundary Layer Flow past a Stretching Plate and Heat Transfer with Variable Thermal Conductivity
(Articles)
Mamta Misra
,
Naseem Ahmad
,
Zakawat Ullah Siddiqui
World Journal of Mechanics
Vol.2 No.1
, February 29, 2012
DOI:
10.4236/wjm.2012.21005
6,647
Downloads
12,261
Views
Citations
On the Solutions of Difference Equation Systems with Padovan Numbers
(Articles)
Yasin Yazlik
,
D. Turgut Tollu
,
Necati Taskara
Applied Mathematics
Vol.4 No.12A
, December 20, 2013
DOI:
10.4236/am.2013.412A002
3,936
Downloads
6,757
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Comprehensible Technique in Solving Consecutive Number Problems in Algebra
(Articles)
Gener Santiago Subia
Journal of Applied Mathematics and Physics
Vol.6 No.3
, March 8, 2018
DOI:
10.4236/jamp.2018.63041
1,542
Downloads
9,130
Views
Citations
Pipe Flow of Suspensions Containing Bubbles
(Articles)
Katharina Gladbach
,
Antonio Delgado
,
Cornelia Rauh
World Journal of Mechanics
Vol.8 No.10
, October 30, 2018
DOI:
10.4236/wjm.2018.810030
816
Downloads
1,956
Views
Citations
Three- and Four-Dimensional Generalized Pythagorean Numbers
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.14 No.1
, January 4, 2024
DOI:
10.4236/apm.2024.141001
287
Downloads
1,292
Views
Citations
An O(k
2
+kh
2
+h
2
) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
(Articles)
Ranjan Kumar Mohanty
,
Vijay Dahiya
American Journal of Computational Mathematics
Vol.1 No.1
, March 30, 2011
DOI:
10.4236/ajcm.2011.11002
6,794
Downloads
13,703
Views
Citations
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