A essência da infinitude do conjunto dos números primos

Luciana Maria Da Silva; Esdras Jafet Aristides da Silva

doi:10.5007/1981-1322.2017v12n1p51

The infinity essence of all prime numbers

Authors

Luciana Maria Da Silva Universidade Federal do Paraná http://orcid.org/0000-0001-9544-9748
Esdras Jafet Aristides da Silva Universidade de Pernambuco

DOI:

https://doi.org/10.5007/1981-1322.2017v12n1p51

Abstract

In this paper discussed the issues related to the infinity of all prime numbers, originally understood as the absence of these higher numbers, was demonstrated by Euclid (probably the first) about the year 300 b.C., when sought characterize the so-called perfect numbers. However, for the modern mathematics, it is still possible to classify the infinite sets about its size: “big infinity” or ”small infinity”. In this context, how the size is all the prime numbers? In the search for the answer to this question we are faced with so many demonstrations of the theorem of Euclid, linking different areas of mathematics, we believe in and review the question of infinity of prime numbers more completely. Then to answer these questions, recovering some of these interesting, important and ingenious demonstrations.

Author Biographies

Luciana Maria Da Silva, Universidade Federal do Paraná

Licenciada em Matemática pela UPE, Mestre em Ciências Geodésicas e Tecnologia da Geoinformação pela UFPE, Doutoranda em Ciências Geodésicas pela UFPR, Curitiba-PR, Brasil. Rua Capitão João Ribas de Oliveira, 415, Ap-23 Bl-B, Bairro – Guabirotuba, CEP-81510-350, Curitiba-PR, Brasil.

Esdras Jafet Aristides da Silva, Universidade de Pernambuco

Bacharel em Matemática pela UFPE, Mestre em Matemática pela UFPE, Doutorando em Educação Matemática pela UFPE. Professor na Universidade de Pernambuco - Campus Mata Norte (UPE/CMN), Departarmento de Matemática.

Downloads

PDF/A (Português (Brasil))

Published

2017-09-13

Issue

Vol. 12 No. 1 (2017)

Section

Artigos

License

Authors hold the copyright and grant the journal the right for their articles' first publication, being their works simultaneously licensed under the Creative Commons Attribution License (CC BY), which allows the sharing of such works with its authorship acknowledged and its initial publication in this journal.

Authors are allowed to enter into separate additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or as a book chapter, with an acknowledgment of its initial publication in this journal).