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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
4,745
Downloads
6,899
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
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
965
Downloads
2,856
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
3,485
Downloads
7,226
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
5,026
Downloads
8,624
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
396
Downloads
2,817
Views
Citations
Some Results on Partially Ordered Rings
(Articles)
Jingjing Ma
Advances in Pure Mathematics
Vol.15 No.12
, December 23, 2025
DOI:
10.4236/apm.2025.1512042
63
Downloads
323
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
1,688
Downloads
3,098
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
803
Downloads
1,714
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
4,671
Downloads
8,345
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
211
Downloads
886
Views
Citations
A New Proof for Congruent Number’s Problem via Pythagorician Divisors
(Articles)
Léopold Dèkpassi Keuméan
,
François Emmanuel Tanoé
Advances in Pure Mathematics
Vol.14 No.4
, April 29, 2024
DOI:
10.4236/apm.2024.144016
208
Downloads
802
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
6,005
Downloads
9,217
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
269
Downloads
2,699
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
14,063
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
394
Downloads
1,709
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
4,654
Downloads
6,493
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
1,192
Downloads
2,384
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
934
Downloads
1,787
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
792
Downloads
3,528
Views
Citations
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