Números primos e o Postulado de Bertrand

This work presents a study of prime numbers, how they are distributed, how many prime numbers are there between 1 and a real number x, formulas that generate primes, and a generalization to Bertrand's Postulate. Six proofs that there are in nitely many primes using reductio ad absurdum, Fermat...

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Detalles Bibliográficos
Autor: Ferreira, Antônio Eudes
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal da Paraíba (UFPB)
Repositorio:Biblioteca Digital de Teses e Dissertações da UFPB
Idioma:portugués
OAI Identifier:oai:repositorio.ufpb.br:tede/9336
Acceso en línea:https://repositorio.ufpb.br/jspui/handle/tede/9336
Access Level:acceso abierto
Palabra clave:Números primos
Primos de Fermat
Primos de Mersenne
Postulado de Bertrand
Prime Numbers
Fermat primes
Mersenne primes
Bertrand Postulate
MATEMATICA::MATEMATICA APLICADA
Descripción
Sumario:This work presents a study of prime numbers, how they are distributed, how many prime numbers are there between 1 and a real number x, formulas that generate primes, and a generalization to Bertrand's Postulate. Six proofs that there are in nitely many primes using reductio ad absurdum, Fermat numbers, Mersenne numbers, Elementary Calculus and Topology are discussed.