Results 101 to 110 of about 156,880 (305)

Distribution of prime numbers Distribution of the prime numbers

open access: yes
This research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel.
Khalil, Lolav Ahmed
core   +1 more source

The logic of prime numbers

open access: yes, 2020
A prime number is that number that is only divisible by itself and by one. So far the prediction of successive prime numbers in a direct way is an enigma in Mathematics.
Jesus Valdés Peña
core   +1 more source

The emergence of the Mersenne Star: a new geometry of prime numbers bridging physics and artificial general intelligence

open access: yesArab Journal of Basic and Applied Sciences
This paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
doaj   +1 more source

Dimethyl fumarate combined with cisplatin at subcytotoxic doses sensitizes cervical cancer toward ferroptosis and apoptosis through GSH restriction and p53 (re)activation

open access: yesMolecular Oncology, EarlyView.
Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano   +6 more
wiley   +1 more source

Mersenne Primes in Certain Lucas Sequences [PDF]

open access: yesEPJ Web of Conferences
Prime numbers are the most important numbers in number theory and cryptography. One of such special primes are given by the set of Mersenne primes, that are derived from the form Mn = 2n − 1, where n is a prime number.
Hadi Ahmed H., Hashim Hayder R.
doaj   +1 more source

COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells

open access: yesMolecular Oncology, EarlyView.
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos   +6 more
wiley   +1 more source

On the subsequence of primes having prime subscripts

open access: yes, 2009
We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there ...
Barnett, A. Ross, Broughan, Kevin A.
core  

Even numbers are the sum of two prime numbers

open access: yes, 2019
"Even numbers are the sum of two prime numbers." This is the description of Goldbach's conjecture, and in Canadian Gaye's book "unsolved problems in number theory", it is an open question to put forward a contrary conjecture that "even numbers are the ...
Xingyi, Jiang   +4 more
core   +1 more source

Computational challenges and solutions: Prime number generation for enhanced data security.

open access: yesPLoS ONE
This paper addresses the computational methods and challenges associated with prime number generation, a critical component in encryption algorithms for ensuring data security.
Amal Ezz-Eldien   +6 more
doaj   +1 more source

Una aproximación a la Conjetura de Goldbach

open access: yesEcomatemático, 2019
One of the mathematical problems that seems to be very true, but lacks a demonstration, is Goldbach's conjecture posed since 1742.The present article makes a critical analysis, where several proposals for its solution were compiled, with a ...
Ingrid Yurley Parada-Buitrago   +2 more
doaj   +1 more source

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