Números primos.
| Ano de defesa: | 2013 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Federal da Paraíba
|
| Programa de Pós-Graduação: |
Mestrado Profissional em Matemática
|
| Departamento: |
Matemática
|
| País: |
Brasil
|
| Palavras-chave em Português: | |
| Palavras-chave em Inglês: | |
| Área do conhecimento CNPq: | |
| Link de acesso: | https://repositorio.ufpb.br/jspui/handle/tede/7534 |
Resumo: | The purpose of this work is to present a special category of integers: Prime numbers. It will be presented a historical retrospective, quoting the most important and interesting results achieved by great mathematicians over the years. Then, most of these results will be formally announced with propositions or theorems and their respective demonstrations, starting with the basic properties of divisibility and cul- minating in some primality tests. |
| id |
UFPB-2_7c359e9e82b30fd04dbdfa818f3bb8e4 |
|---|---|
| oai_identifier_str |
oai:repositorio.ufpb.br:tede/7534 |
| network_acronym_str |
UFPB-2 |
| network_name_str |
Repositório Institucional da UFPB |
| repository_id_str |
|
| spelling |
2015-10-20T14:46:58Z2018-07-20T23:47:39Z2018-07-20T23:47:39Z2013-09-26PADILHA, José Cleiton Rodrigues. Números Primos. 2013. 72 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal da Paraíba, João Pessoa, 2013.https://repositorio.ufpb.br/jspui/handle/tede/7534The purpose of this work is to present a special category of integers: Prime numbers. It will be presented a historical retrospective, quoting the most important and interesting results achieved by great mathematicians over the years. Then, most of these results will be formally announced with propositions or theorems and their respective demonstrations, starting with the basic properties of divisibility and cul- minating in some primality tests.O propósito deste trabalho é apresentar uma categoria especial de números inteiros: Os Números Primos. Será apresentada uma retrospectiva histórica,citando os resultados mai s importantes e interessantes obtidos por grandes matemáticos ao longodos anos. Em seguida, a maioria destes resultados serão formalmente enunciados com proposições ou teoremas e suas respectivas demonstrações,começando com as propriedades básicas da divisibilidade e culminando em alguns testes de primalidade.Submitted by Susiquine Silva (susi.bibliotecaufpb@hotmail.com) on 2015-10-20T13:41:36Z No. of bitstreams: 2 Arquivototal.pdf: 1918900 bytes, checksum: faffe2a0b39bb0b14b7718f5a5b1b326 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5)Rejected by Susiquine Silva (susi.bibliotecaufpb@hotmail.com), reason: Corrigir título. on 2015-10-20T14:44:19Z (GMT)Submitted by Susiquine Silva (susi.bibliotecaufpb@hotmail.com) on 2015-10-20T14:46:20Z No. of bitstreams: 2 Arquivototal.pdf: 1918900 bytes, checksum: faffe2a0b39bb0b14b7718f5a5b1b326 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5)Approved for entry into archive by Susiquine Silva (susi.bibliotecaufpb@hotmail.com) on 2015-10-20T14:46:58Z (GMT) No. of bitstreams: 2 Arquivototal.pdf: 1918900 bytes, checksum: faffe2a0b39bb0b14b7718f5a5b1b326 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5)Made available in DSpace on 2015-10-20T14:46:58Z (GMT). No. of bitstreams: 2 Arquivototal.pdf: 1918900 bytes, checksum: faffe2a0b39bb0b14b7718f5a5b1b326 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5) Previous issue date: 2013-09-26Made available in DSpace on 2018-07-20T23:47:39Z (GMT). No. of bitstreams: 3 license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5) Arquivototal.pdf: 1918900 bytes, checksum: faffe2a0b39bb0b14b7718f5a5b1b326 (MD5) Arquivototal.pdf.jpg: 4051 bytes, checksum: 9ba784299fc4bb7ebee089aae4298f97 (MD5) Previous issue date: 2013-09-26Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade Federal da ParaíbaMestrado Profissional em MatemáticaUFPBBrasilMatemáticahttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessTeoria dos númerosNúmeros primosDistribuição dos números primosTeste de primalidadePrime numbersPrime numbers distributionPrimalitytestNumber theoryMATEMATICA::MATEMATICA APLICADANúmeros primos.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisRibeiro, Bruno Henrique Carvalho04489517467http://lattes.cnpq.br/904320401301295303877416403http://lattes.cnpq.br/6149523319043174Padilha, José Cleiton Rodrigueshttp://tede.biblioteca.ufpb.br:8080/retrieve/15459/Arquivototal.pdf.jpgreponame:Repositório Institucional da UFPBinstname:Universidade Federal da Paraíba (UFPB)instacron:UFPBTEXTArquivototal.pdf.txtArquivototal.pdf.txtExtracted texttext/plain101134https://repositorio.ufpb.br/jspui/bitstream/tede/7534/9/Arquivototal.pdf.txtefb959ddc4ecb3c11d5c3c05bd165e80MD59THUMBNAILArquivototal.pdf.jpgArquivototal.pdf.jpgIM Thumbnailimage/jpeg3574https://repositorio.ufpb.br/jspui/bitstream/tede/7534/10/Arquivototal.pdf.jpg1342912e0291170ab11c70231dd78440MD510LICENSElicense.txtlicense.txttext/plain; charset=utf-81892https://repositorio.ufpb.br/jspui/bitstream/tede/7534/6/license.txt8c8cacc7fa454d1f71e17b728b8bcecdMD56license.txtlicense.txttext/plain; charset=utf-81867https://repositorio.ufpb.br/jspui/bitstream/tede/7534/8/license.txt07956d2f9f6879bad6c75289be248398MD58ORIGINALArquivototal.pdfArquivototal.pdfArquivo totalapplication/pdf1918900https://repositorio.ufpb.br/jspui/bitstream/tede/7534/5/Arquivototal.pdffaffe2a0b39bb0b14b7718f5a5b1b326MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849https://repositorio.ufpb.br/jspui/bitstream/tede/7534/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-821328https://repositorio.ufpb.br/jspui/bitstream/tede/7534/3/license_text1ddceb2a2635a9472b3c10d731d0906eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-822190https://repositorio.ufpb.br/jspui/bitstream/tede/7534/4/license_rdf19e8a2b57ef43c09f4d7071d2153c97dMD54tede/75342018-09-05 21:31:59.408oai:repositorio.ufpb.br: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Repositório InstitucionalPUBhttps://repositorio.ufpb.br/oai/requestdiretoria@ufpb.br||bdtd@biblioteca.ufpb.bropendoar:25462018-09-06T00:31:59Repositório Institucional da UFPB - Universidade Federal da Paraíba (UFPB)false |
| dc.title.por.fl_str_mv |
Números primos. |
| title |
Números primos. |
| spellingShingle |
Números primos. Padilha, José Cleiton Rodrigues Teoria dos números Números primos Distribuição dos números primos Teste de primalidade Prime numbers Prime numbers distribution Primalitytest Number theory MATEMATICA::MATEMATICA APLICADA |
| title_short |
Números primos. |
| title_full |
Números primos. |
| title_fullStr |
Números primos. |
| title_full_unstemmed |
Números primos. |
| title_sort |
Números primos. |
| author |
Padilha, José Cleiton Rodrigues |
| author_facet |
Padilha, José Cleiton Rodrigues |
| author_role |
author |
| dc.contributor.advisor1.fl_str_mv |
Ribeiro, Bruno Henrique Carvalho |
| dc.contributor.advisor1ID.fl_str_mv |
04489517467 |
| dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/9043204013012953 |
| dc.contributor.authorID.fl_str_mv |
03877416403 |
| dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/6149523319043174 |
| dc.contributor.author.fl_str_mv |
Padilha, José Cleiton Rodrigues |
| contributor_str_mv |
Ribeiro, Bruno Henrique Carvalho |
| dc.subject.por.fl_str_mv |
Teoria dos números Números primos Distribuição dos números primos Teste de primalidade Prime numbers Prime numbers distribution Primalitytest |
| topic |
Teoria dos números Números primos Distribuição dos números primos Teste de primalidade Prime numbers Prime numbers distribution Primalitytest Number theory MATEMATICA::MATEMATICA APLICADA |
| dc.subject.eng.fl_str_mv |
Number theory |
| dc.subject.cnpq.fl_str_mv |
MATEMATICA::MATEMATICA APLICADA |
| description |
The purpose of this work is to present a special category of integers: Prime numbers. It will be presented a historical retrospective, quoting the most important and interesting results achieved by great mathematicians over the years. Then, most of these results will be formally announced with propositions or theorems and their respective demonstrations, starting with the basic properties of divisibility and cul- minating in some primality tests. |
| publishDate |
2013 |
| dc.date.issued.fl_str_mv |
2013-09-26 |
| dc.date.accessioned.fl_str_mv |
2015-10-20T14:46:58Z 2018-07-20T23:47:39Z |
| dc.date.available.fl_str_mv |
2018-07-20T23:47:39Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| format |
masterThesis |
| status_str |
publishedVersion |
| dc.identifier.citation.fl_str_mv |
PADILHA, José Cleiton Rodrigues. Números Primos. 2013. 72 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal da Paraíba, João Pessoa, 2013. |
| dc.identifier.uri.fl_str_mv |
https://repositorio.ufpb.br/jspui/handle/tede/7534 |
| identifier_str_mv |
PADILHA, José Cleiton Rodrigues. Números Primos. 2013. 72 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal da Paraíba, João Pessoa, 2013. |
| url |
https://repositorio.ufpb.br/jspui/handle/tede/7534 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Universidade Federal da Paraíba |
| dc.publisher.program.fl_str_mv |
Mestrado Profissional em Matemática |
| dc.publisher.initials.fl_str_mv |
UFPB |
| dc.publisher.country.fl_str_mv |
Brasil |
| dc.publisher.department.fl_str_mv |
Matemática |
| publisher.none.fl_str_mv |
Universidade Federal da Paraíba |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFPB instname:Universidade Federal da Paraíba (UFPB) instacron:UFPB |
| instname_str |
Universidade Federal da Paraíba (UFPB) |
| instacron_str |
UFPB |
| institution |
UFPB |
| reponame_str |
Repositório Institucional da UFPB |
| collection |
Repositório Institucional da UFPB |
| bitstream.url.fl_str_mv |
https://repositorio.ufpb.br/jspui/bitstream/tede/7534/9/Arquivototal.pdf.txt https://repositorio.ufpb.br/jspui/bitstream/tede/7534/10/Arquivototal.pdf.jpg https://repositorio.ufpb.br/jspui/bitstream/tede/7534/6/license.txt https://repositorio.ufpb.br/jspui/bitstream/tede/7534/8/license.txt https://repositorio.ufpb.br/jspui/bitstream/tede/7534/5/Arquivototal.pdf https://repositorio.ufpb.br/jspui/bitstream/tede/7534/2/license_url https://repositorio.ufpb.br/jspui/bitstream/tede/7534/3/license_text https://repositorio.ufpb.br/jspui/bitstream/tede/7534/4/license_rdf |
| bitstream.checksum.fl_str_mv |
efb959ddc4ecb3c11d5c3c05bd165e80 1342912e0291170ab11c70231dd78440 8c8cacc7fa454d1f71e17b728b8bcecd 07956d2f9f6879bad6c75289be248398 faffe2a0b39bb0b14b7718f5a5b1b326 4afdbb8c545fd630ea7db775da747b2f 1ddceb2a2635a9472b3c10d731d0906e 19e8a2b57ef43c09f4d7071d2153c97d |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da UFPB - Universidade Federal da Paraíba (UFPB) |
| repository.mail.fl_str_mv |
diretoria@ufpb.br||bdtd@biblioteca.ufpb.br |
| _version_ |
1877597270533210112 |