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   4,758 Downloads  9,052 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   1,426 Downloads  2,179 Views  Citations

The Numbers of Thousand Place of Mersenne Primes (Articles)

Sibao Zhang, Lihang Zhou

Applied Mathematics Vol.2 No.11，November 30, 2011

DOI: 10.4236/am.2011.211190   3,979 Downloads  7,069 Views  Citations

On Some Properties of Digital Roots (Articles)

Ilhan M. Izmirli

Advances in Pure Mathematics Vol.4 No.6，June 25, 2014

DOI: 10.4236/apm.2014.46039   4,207 Downloads  5,130 Views  Citations

There Are Infinitely Many Mersnne Composite Numbers with Prime Exponents (Articles)

Fengsui Liu

Advances in Pure Mathematics Vol.8 No.7，July 31, 2018

DOI: 10.4236/apm.2018.87041   499 Downloads  1,029 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   335 Downloads  471 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   3,476 Downloads  6,367 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   3,882 Downloads  6,388 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   656 Downloads  1,247 Views  Citations

A Comparison of Sufficiency Condtions for the Goldbach and the Twin Primes Conjectures (Articles)

C. J. Mozzochi

Advances in Pure Mathematics Vol.4 No.5，May 5, 2014

DOI: 10.4236/apm.2014.45021   3,701 Downloads  4,826 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   477 Downloads  1,398 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   352 Downloads  892 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   388 Downloads  664 Views  Citations

Computation of Complex Primes Using Elliptic Curves: Application for Cryptosystem Design (Articles)

Boris S. Verkhovsky

Int'l J. of Communications, Network and System Sciences Vol.5 No.1，January 20, 2012

DOI: 10.4236/ijcns.2012.51001   3,457 Downloads  7,037 Views  Citations

A Hidden Stability in the Random Behaviour of the Consecutive Prime Numbers (Articles)

Silviu Guiasu

Natural Science Vol.10 No.10，October 11, 2018

DOI: 10.4236/ns.2018.1010036   530 Downloads  1,427 Views  Citations

Integer Factorization of Semi-Primes Based on Analysis of a Sequence of Modular Elliptic Equations (Articles)

Boris S. Verkhovsky

Int'l J. of Communications, Network and System Sciences Vol.4 No.10，October 28, 2011

DOI: 10.4236/ijcns.2011.410073   4,222 Downloads  8,276 Views  Citations

Infinite Number of Twin Primes (Articles)

S. N. Baibekov, A. A. Durmagambetov

Advances in Pure Mathematics Vol.6 No.13，December 15, 2016

DOI: 10.4236/apm.2016.613073   1,984 Downloads  3,792 Views  Citations

How to Check If a Number Is Prime Using a Finite Definite Integral (Articles)

Jesús Sánchez

Journal of Applied Mathematics and Physics Vol.7 No.2，February 22, 2019

DOI: 10.4236/jamp.2019.72028   446 Downloads  686 Views  Citations

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   3,986 Downloads  4,664 Views  Citations