Results 11 to 20 of about 173,388,520 (218)

Distribution of Square Prime Numbers [PDF]

open access: yes, 2022
For $a \neq 1$ and $p$ prime, we define numbers of the form $pa^2$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056.
Bhat, Raghavendra N.   +1 more
core   +1 more source

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

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

Frequency Distribution of Prime Numbers between an Integer and its Square: A Case Study

open access: yes, 2022
The chronicle of prime numbers travel back thousands of years in human history. Not only the traits of prime numbers have surprised people, but also all those endeavors made for ages to find a pattern in the appearance of prime numbers has been ...
Muhammad, Tashreef   +3 more
core   +1 more source

Smarandache-Wellin Numbers and Primes [PDF]

open access: yes, 1997
A Smarandache-Wellin Number, SWN(n), in a given base b, is a number resulted from the concatenation of first consecutive prime ...
Ibstedt, h.
core   +1 more source

Linearity of the position of prime numbers. The order of prime and composite numbers

open access: yes, 2023
In this paper it was shown that all prime numbers lie on 96 half-lines. At the same time, it was shown that if a given number does not lie on any of the above half-lines, then it is a composite number. A corresponding linear mathematical relationship was
Marek Berezowski
core   +1 more source

Applications of Smarandache Function, and Prime and Coprime Functions [PDF]

open access: yes, 2002
A book for people who love numbers: Smarandache Function applied to perfect numbers, congruences.
Ruiz, Sebastián Martín
core   +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

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

Flat primes and thin primes [PDF]

open access: yes, 2010
A number is called upper (lower) flat if its shift by +1 ( −1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise
Broughan, Kevin A., Zhou, Qizhi
core   +1 more source

Home - About - Disclaimer - Privacy