Results 21 to 30 of about 1,699,076 (196)

LikeN's - a point of view on natural numbers

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. N with addition and N*=N\{0} with multiplication.
Edward Tutaj
doaj   +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

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
core   +1 more source

Prime numbers with a certain extremal type property

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The convex hull of the subgraph of the prime counting function x → π(x) is a convex set, bounded from above by a graph of some piecewise affine function x → ε(x). The vertices of this function form an infinite sequence of points (ek,π(ek))1∞.
Edward Tutaj
doaj   +1 more source

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

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   +4 more sources

Prime-Perfect Numbers

open access: yesIntegers, 2012
Abstract.We discuss a relative of the perfect numbers for which it is possible to prove that there are infinitely many examples. Call a natural numberasWe conclude by discussing some related problems posed by Harborth and Cohen.
Paul Pollack, Carl Pomerance
openaire   +2 more sources

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.   +7 more
core   +1 more source

SOME EXPRESSIONS OF THE SMARANDACHE PRIME FUNCTION [PDF]

open access: yes, 2000
The main purpose of this paper is using elementary arithmetical functions to give some expressions of the Smarandache Prime Function P(n)
Ruiz, Sebastian Martin
core   +1 more source

Differentiating by Prime Numbers

open access: yesNotices of the American Mathematical Society, 2023
We introduce $p$-derivations and give a few basic ways in which they act like derivatives by numbers.
openaire   +2 more sources

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