Results 21 to 30 of about 156,880 (305)
New properties of divisors of natural number [PDF]
Notes 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]
, 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
LikeN's - a point of view on natural numbers
Annales 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]
, 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 with a certain extremal type property
Annales 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
The Noether numbers for cyclic groups of prime order [PDF]
, 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]
, 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
Approximation model based on LSTM for predicting the next prime number in an infinite sequence [PDF]
E3S 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
Integers, 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
Applications of Smarandache Function, and Prime and Coprime Functions [PDF]
, 2002 A book for people who love numbers: Smarandache Function applied to perfect numbers, congruences.
Ruiz, Sebastián Martín
core +1 more source