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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
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
Primality Test
(Articles)
Gabriele Martino
American Journal of Computational Mathematics
Vol.3 No.1
,March 28, 2013
DOI:
10.4236/ajcm.2013.31009
4,245
Downloads
7,013
Views
Citations
A Sieve for Prime Based on Extension Form of Not Prime
(Articles)
Gabriele Martino
American Journal of Computational Mathematics
Vol.3 No.1
,March 29, 2013
DOI:
10.4236/ajcm.2013.31014
3,966
Downloads
6,301
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
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
Corresponding Prime Number Distribution Equation
(Articles)
Dan Liu
,
Chenglong Liu
Journal of Applied Mathematics and Physics
Vol.11 No.11
,November 8, 2023
DOI:
10.4236/jamp.2023.1111214
68
Downloads
264
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
3,168
Downloads
6,600
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
Consistency and Validity of the Mathematical Models and the Solution Methods for BVPs and IVPs Based on Energy Methods and Principle of Virtual Work for Homogeneous Isotropic and Non-Homogeneous Non-Isotropic Solid Continua
(Articles)
Karan S. Surana
,
Emilio N. Alverio
Applied Mathematics
Vol.11 No.7
,July 16, 2020
DOI:
10.4236/am.2020.117039
357
Downloads
1,027
Views
Citations
Euler’s Forgotten Equation of the Center
(Articles)
Sylvio R. Bistafa
Advances in Historical Studies
Vol.10 No.1
,March 15, 2021
DOI:
10.4236/ahs.2021.101005
331
Downloads
1,518
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
To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness
(Articles)
Мakhamatali К. Usarov
Journal of Applied Mathematics and Physics
Vol.5 No.10
,October 30, 2017
DOI:
10.4236/jamp.2017.510170
733
Downloads
1,406
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 Generalization of Ince’s Equation
(Articles)
Ridha Moussa
Journal of Applied Mathematics and Physics
Vol.2 No.13
,December 23, 2014
DOI:
10.4236/jamp.2014.213137
4,596
Downloads
5,746
Views
Citations
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