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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
4,442
Downloads
5,934
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
659
Downloads
1,542
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
640
Downloads
2,015
Views
Citations
A Volume Product Representation and Its Ramifications in
l
n
p
, 1≤
p
≤∞
(Articles)
Dimitris Karayannakis
Advances in Pure Mathematics
Vol.1 No.5
,September 21, 2011
DOI:
10.4236/apm.2011.15046
3,166
Downloads
6,598
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
4,812
Downloads
8,030
Views
Citations
Symmetrical Distribution of Primes and Their Gaps
(Articles)
Brandon Y. Wang
,
Xin Wang
Advances in Pure Mathematics
Vol.11 No.5
,May 25, 2021
DOI:
10.4236/apm.2021.115031
211
Downloads
1,663
Views
Citations
A New Class of Production Function
(Articles)
D. Bayanjargal
,
B. Yerkyebulan
,
Ts. Battsukh
Theoretical Economics Letters
Vol.10 No.2
,April 23, 2020
DOI:
10.4236/tel.2020.102024
1,391
Downloads
2,575
Views
Citations
Some Extensions on Numbers
(Articles)
Balasubramani Prema Rangasamy
Advances in Pure Mathematics
Vol.9 No.11
,November 29, 2019
DOI:
10.4236/apm.2019.911047
584
Downloads
1,194
Views
Citations
A Construction That Produces Wallis-Type Formulas
(Articles)
Joshua M. Fitzhugh
,
David L. Farnsworth
Advances in Pure Mathematics
Vol.3 No.6
,August 29, 2013
DOI:
10.4236/apm.2013.36074
4,338
Downloads
7,738
Views
Citations
Generalized Series of Bernoulli Type
(Articles)
Thomas Beatty
,
Nicholas Bianco
,
Nicole Legge
Advances in Pure Mathematics
Vol.13 No.9
,August 31, 2023
DOI:
10.4236/apm.2023.139035
81
Downloads
387
Views
Citations
A General Theorem on the Conditional Convergence of Trigonometric Series
(Articles)
Edgar A. Cohen Jr.
Open Journal of Discrete Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/ojdm.2013.31003
5,744
Downloads
8,768
Views
Citations
The Theoretical Significance and Reality of Imaginary Number
(Articles)
Wenbing Wu
,
Xiaojian Yuan
Natural Science
Vol.15 No.11
,November 30, 2023
DOI:
10.4236/ns.2023.1511021
75
Downloads
404
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
7,290
Downloads
13,990
Views
Citations
The Number of Primes
(Articles)
Pál Doroszlai
,
Horacio Keller
Advances in Pure Mathematics
Vol.12 No.2
,February 23, 2022
DOI:
10.4236/apm.2022.122008
182
Downloads
916
Views
Citations
Modeling of Orientation-Dependent Photoelastic Constants in Cubic Crystal System
(Articles)
Lubna Jahan Rashid Pinky
,
Shakila Islam
,
Md. Nur Kutubul Alam
,
Mohammad Arif Hossain
,
Md. Rafiqul Islam
Materials Sciences and Applications
Vol.5 No.4
,March 28, 2014
DOI:
10.4236/msa.2014.54027
4,394
Downloads
5,826
Views
Citations
Domain Decomposition of an Optimal Control Problem for Semi-Linear Elliptic Equations on Metric Graphs with Application to Gas Networks
(Articles)
Günter Leugering
Applied Mathematics
Vol.8 No.8
,August 17, 2017
DOI:
10.4236/am.2017.88082
987
Downloads
1,842
Views
Citations
Modeling of Plane Arrays Using a Variational Approach
(Articles)
Mykhaylo I. Andriychuk
,
Yarema F. Kuleshnyk
Open Journal of Antennas and Propagation
Vol.6 No.4
,December 29, 2018
DOI:
10.4236/ojapr.2018.64009
681
Downloads
1,208
Views
Citations
Revisiting Euler’s Orbital Calculations for the Comet of 1742
(Articles)
Sylvio R. Bistafa
Advances in Historical Studies
Vol.10 No.1
,March 25, 2021
DOI:
10.4236/ahs.2021.101007
480
Downloads
1,996
Views
Citations
Application of Lambert
W
Function to Planck Spectral Radiance Frequencies
(Articles)
Sabaratnasingam Gnanarajan
Journal of Applied Mathematics and Physics
Vol.9 No.10
,October 27, 2021
DOI:
10.4236/jamp.2021.910160
121
Downloads
677
Views
Citations
This article belongs to the Special Issue on
Mathematical Theory and Equations in Physics and Engineering
Addendum to Paper Entitled “Do Prime Numbers Obey a Three Dimensional Double Helix?”
(Articles)
Peter Bissonnet
Journal of Applied Mathematics and Physics
Vol.5 No.9
,September 27, 2017
DOI:
10.4236/jamp.2017.59154
759
Downloads
1,673
Views
Citations
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