Results 11 to 20 of about 1,699,076 (196)

The occurrence of prime numbers revisited

open access: yesGECONTEC: Revista Internacional de Gestión del Conocimiento y la Tecnología, 2016
Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or smaller
Ernesto Tapia Moore, José Tapia Yañez
doaj   +5 more sources

A Relation between Prime Numbers and Twin Prime Numbers [PDF]

open access: yesMathematical and Computational Applications, 2001
Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers. A relation between any prime numberand any twin prime number has been obtained.
A. Ergin
openaire   +3 more sources

Squared prime numbers: Methods giving all prime numbers endless [PDF]

open access: yes, 2021
My investigation shows that there is a regularity even by the prime numbers. This structure is obvious when a prime square is created. The squared prime numbers. 1.
Appelqvist, Dr Gunnar
core   +1 more source

Prime numbers in logarithmic intervals [PDF]

open access: yes, 2010
Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco   +9 more
core   +1 more source

Some various inequalities Involving Prime Numbers Counting Function [PDF]

open access: yes, 2005
In this paper we find some inequalities concerning π(x) by considering some known inequalities involving it and some inequalities between important ...
Hassani, Mehdi
core   +6 more sources

ON A NEW CLASS OF SMARANDACHE PRIME NUMBERS [PDF]

open access: yes, 2005
The purpose of this note is to report on the discovery of some new prime numbers that were built from factorials, the Smarandache Consecutive Sequence, and the Smarandache Reverse ...
Earls, Jason
core   +1 more source

Jacob’s Ladder: Prime Numbers in 2D

open access: yesMathematical and Computational Applications, 2020
Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are playing a fundamental role in the study of an immense variety of problems.
Alberto Fraile   +2 more
doaj   +1 more source

A Simple Algorithm for Prime Factorization and Primality Testing

open access: yesJournal of Mathematics, 2022
We propose a new simple and faster algorithm to factor numbers based on the nature of the prime numbers contained in such composite numbers. It is well known that every composite number has a unique representation as a product of prime numbers.
Kabenge Hamiss
doaj   +1 more source

New properties of divisors of natural number [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
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

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