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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
4,452
Downloads
5,969
Views
Citations
The Proof of Goldbach’s Conjecture on Prime Numbers
(Articles)
Silviu Guiasu
Natural Science
Vol.11 No.9
,September 29, 2019
DOI:
10.4236/ns.2019.119029
1,144
Downloads
9,774
Views
Citations
Remarks on Goldbach’s Conjecture on Prime Numbers
(Articles)
Silviu Guiasu
Natural Science
Vol.11 No.12
,December 19, 2019
DOI:
10.4236/ns.2019.1112036
937
Downloads
4,097
Views
Citations
On the Existence of Non-Intersecting Straight Lines on the Plane
(Articles)
Andrew Chubykalo
,
Sergey Artekha
Journal of Modern Physics
Vol.9 No.5
,April 10, 2018
DOI:
10.4236/jmp.2018.95052
897
Downloads
1,859
Views
Citations
The Mathematics of Harmony. Proclus’ Hypothesis and New View on Euclid’s Elements and History of Mathematics Starting since Euclid
(Articles)
Alexey Stakhov
Applied Mathematics
Vol.5 No.21
,December 1, 2014
DOI:
10.4236/am.2014.521311
7,235
Downloads
9,537
Views
Citations
The Study of the Polignac Numbers
(Articles)
J. Czopik
Advances in Pure Mathematics
Vol.9 No.6
,June 30, 2019
DOI:
10.4236/apm.2019.96027
1,048
Downloads
1,934
Views
Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World
(Articles)
Alexey Stakhov
,
Samuil Aranson
Journal of Applied Mathematics and Physics
Vol.2 No.7
,June 13, 2014
DOI:
10.4236/jamp.2014.27056
3,874
Downloads
5,247
Views
Citations
Chromatic Number of Graphs with Special Distance Sets-V
(Articles)
Venkataraman Yegnanarayanan
,
Angamuthu Parthiban
Open Journal of Discrete Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/ojdm.2013.31001
3,844
Downloads
7,324
Views
Citations
Primes in Arithmetic Progressions to Moduli with a Large Power Factor
(Articles)
Ruting Guo
Advances in Pure Mathematics
Vol.3 No.7A
,October 30, 2013
DOI:
10.4236/apm.2013.37A003
4,287
Downloads
7,294
Views
Citations
This article belongs to the Special Issue on
Number Theory and Crytography
RETRACTED:
On Nil and Nilpotent Rings and Modules
(Articles)
Md. Maruf Hasan
,
Khandker Farid Uddin Ahmed
American Journal of Computational Mathematics
Vol.7 No.3
,September 29, 2017
DOI:
10.4236/ajcm.2017.73027
925
Downloads
1,835
Views
Citations
The Integral of the Inverse of the Primes
(Articles)
Pal Doroszlai
,
Horacio Keller
Advances in Pure Mathematics
Vol.13 No.5
,May 30, 2023
DOI:
10.4236/apm.2023.135018
73
Downloads
336
Views
Citations
Area inside a Circle: Intuitive and Rigorous Proofs
(Articles)
Vali Siadat
American Journal of Computational Mathematics
Vol.7 No.1
,March 31, 2017
DOI:
10.4236/ajcm.2017.71009
1,510
Downloads
2,685
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.1
,January 30, 2011
DOI:
10.4236/am.2011.21009
6,364
Downloads
12,407
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry)
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.2
,February 25, 2011
DOI:
10.4236/am.2011.22020
6,102
Downloads
11,947
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.3
,March 24, 2011
DOI:
10.4236/am.2011.23033
6,358
Downloads
12,409
Views
Citations
Some Notes on the Distribution of Mersenne Primes
(Articles)
Sibao Zhang
,
Xiaocheng Ma
,
Lihang Zhou
Applied Mathematics
Vol.1 No.4
,October 29, 2010
DOI:
10.4236/am.2010.14041
5,538
Downloads
10,648
Views
Citations
On the Sum of Reciprocals of Mersenne Primes
(Articles)
Yoshihiro Tanaka
American Journal of Computational Mathematics
Vol.7 No.2
,June 8, 2017
DOI:
10.4236/ajcm.2017.72012
1,712
Downloads
3,507
Views
Citations
The Symmetric Series of Multiples of Primes
(Articles)
Pal Doroszlai
,
Horacio Keller
Advances in Pure Mathematics
Vol.12 No.3
,March 18, 2022
DOI:
10.4236/apm.2022.123014
146
Downloads
625
Views
Citations
The Gaps between Primes
(Articles)
Pal Doroszlai
,
Horacio Keller
Advances in Pure Mathematics
Vol.12 No.12
,December 30, 2022
DOI:
10.4236/apm.2022.1212058
144
Downloads
660
Views
Citations
A Proof of Concept Study on Cortisol Response to Three Different Educational Environs (Alone, Same-Sex, and Mixed-Sex)
(Articles)
Sean A. Forbes
,
Svetlana Chesser
,
Anthony J. Guarino
Creative Education
Vol.4 No.4A
,April 30, 2013
DOI:
10.4236/ce.2013.44A002
4,325
Downloads
6,457
Views
Citations
This article belongs to the Special Issue on
Global Interconnectedness and Education
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