Results 21 to 30 of about 1,769,019 (256)

Approximation model based on LSTM for predicting the next prime number in an infinite sequence [PDF]

open access: yesE3S Web of Conferences, 2023
Prime numbers are a special set of natural numbers that have captured the attention of mathematicians since ancient times. As prime numbers are a fundamental component in many areas of mathematics, they have naturally found wide applications in various ...
Pylov Petr   +2 more
doaj   +1 more source

A recurrence formula for prime numbers using the Smarandache or Totient functions [PDF]

open access: yes, 2001
In this paper we report a recurrence formula to obtain the n-th prime in terms of (n-l)th prime and as a function of Smarandache or Totient ...
Russo, Felice
core   +1 more source

Luhn prime numbers [PDF]

open access: yes, 2015
Thefirstprimenumberwiththespecialpropertythatitsadditionwithreversalgivesasresultaprimenumbertoo is 229. The prime numbers with this property will be called Luhn prime numbers.
Octavian Cira, Florentin Smarandache
core   +1 more source

The Prime Numbers [PDF]

open access: yes, 2017
A prime number is a natural number that has Just two divisors: one and itself. From antiquity until our time, scientists are researching mathematical reasoning to understand the prime numbers; eminent scholars had worked on this field before it is ...
Ndiaye, Mady, Mady Ndiaye
core   +1 more source

On the numbers that determine the distribution of twin primes [PDF]

open access: yesSurveys in Mathematics and its Applications, 2018
This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
doaj  

The mechanism of prime numbers

open access: yes, 2021
The distribution of prime numbers and related composite numbers derives from the intertwining of the respective modules of the infinite prime numbers; this intertwining is not casual but regulated by a very specific mechanism "the mechanism of prime ...
Dante Servi
core   +1 more source

The Noether numbers for cyclic groups of prime order [PDF]

open access: yes, 2006
The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants.
Woodcock, Chris F.   +3 more
core   +1 more source

Prime numbers demystified [PDF]

open access: yes, 2021
The paper is the ultimate prime numbers algorithm that gets rid of the unneccessary mystery about prime numbers. All the numerous arithmetic series patterns observed between various prime numbers are clearly explained with an elegant "pattern of ...
Ncube, Artwell, Artwell Ncube
core   +1 more source

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  

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