Results 21 to 30 of about 145,068 (247)

Carmichael Numbers with a Prime Number of Prime Factors

open access: yes, 2022
Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers $n$ such that the number of prime factors of $n$ is prime.
openaire   +3 more sources

Combinatorial Models of the Distribution of Prime Numbers

open access: yesMathematics, 2021
This work is divided into two parts. In the first one, the combinatorics of a new class of randomly generated objects, exhibiting the same properties as the distribution of prime numbers, is solved and the probability distribution of the combinatorial ...
Vito Barbarani
doaj   +1 more source

A note on the primality of sums [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
It is shown that when adding a large number to a set of much smaller numbers, the number of primes or twin ranks (see text) in the resulted sumset can be substantially larger than the theoretical values given by the Prime Number Theorem or Hardy ...
Antonie Dinculescu
doaj  

METHOD OF TESTING LARGE NUMBERS FOR PRIMALITY

open access: yesСучасні інформаційні системи
The current stage of scientific and technological development entails ensuring information security across all domains of human activity. Confidential data and wireless channels of remote control systems are particularly sensitive to various types of ...
Vladimir Pevnev   +3 more
doaj   +1 more source

Development of modified RSA algorithm using fixed mersenne prime numbers for medical ultrasound imaging instrumentation

open access: yesComputer Assisted Surgery, 2019
Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin   +2 more
doaj   +1 more source

Eigenvalues of diffusion operators and Prime numbers

open access: yesCumhuriyet Science Journal, 2017
In this paper, the relationship between the positive eigenvalues ofdiffusion operators and prime numbers is investigated. We also propose a Sturm-Liouvilleproblem with Coulomb singularity that shows eigenvalues the distribution ofprime numbers.
Rauf Amirov, İbrahim Adalar
doaj   +1 more source

The concept of prime number and the strategies used in explaining prime numbers

open access: yesSouth African Journal of Education, 2020
The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher’s knowledge effects the students ...
Nejla Gürefe, Gülfem Sarpkaya Aktaş
doaj   +1 more source

Personalized Selumetinib Dosing in Pediatric Neurofibromatosis Type 1: Insights From a Pilot Therapeutic Drug Monitoring Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács   +8 more
wiley   +1 more source

Feasibility and Safety of High‐Dose Proton Re‐Irradiation in Recurrent Pediatric Central Nervous System Tumors: A Single‐Institution Retrospective Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song   +15 more
wiley   +1 more source

Feasibility and Preliminary Efficacy of Integrative Neuromuscular Training for Childhood Cancer Survivors: A Pilot Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of childhood acute lymphoblastic leukemia (ALL) often exhibit early deficits in muscle and movement competence, which can compromise long‐term health. Integrative neuromuscular training (INT), a multifaceted approach combining fundamental movement activities with strength exercises, may help address these deficits during ...
Anna Maria Markarian   +7 more
wiley   +1 more source

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