Results 11 to 20 of about 173,569,965 (255)

A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences [PDF]

open access: yesRatio Mathematica, 2019
Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution.
Gianfranco Minati
doaj   +3 more sources

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

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

Distribution image of prime numbers in natural numbers

open access: yes, 2022
In this paper, the method of how to draw the image of the distribution of prime numbers in natural numbers is ...
Huang- Shan, Huang Shan
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

Related Distribution of Prime Numbers [PDF]

open access: yes, 2013
The surplus model is established, and the distribution of prime numbers are solved by using the surplus ...
SONG, Kaifu
core   +1 more source

A Scale Invariant Distribution of the Prime Numbers

open access: yesComputation, 2015
The irregular distribution of prime numbers amongst the integers has found multiple uses, from engineering applications of cryptography to quantum theory.
Wayne S. Kendal, Bent Jørgensen
doaj   +1 more source

Toward the Unification of Physics and Number Theory [PDF]

open access: yesReports in Advances of Physical Sciences, 2019
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
doaj   +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

Determination of frequency distribution of oocytes at different maturity phases in the ovaries of roach, Rutilus rutilus (L.) [PDF]

open access: yesActa Ichthyologica et Piscatoria, 2003
Background. The frequency distribution of oocytes at different maturity phases can be used to assess environmental effects on gametogenesis in teleosts.
W. Kopiejewska
doaj   +3 more sources

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