{"id":"https://openalex.org/W2038838437","doi":"https://doi.org/10.1016/0020-0190(79)90149-2","title":"Miller's primality test","display_name":"Miller's primality test","publication_year":1979,"publication_date":"1979-02-01","ids":{"openalex":"https://openalex.org/W2038838437","doi":"https://doi.org/10.1016/0020-0190(79)90149-2","mag":"2038838437"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(79)90149-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(79)90149-2","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1887/3801","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109855871","display_name":"H. W. Lenstra","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128315","display_name":"Huizinga Instituut","ror":"https://ror.org/03wyamy27","country_code":"NL","type":"education","lineage":["https://openalex.org/I4210128315"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"H.W. Lenstra","raw_affiliation_strings":["Mathematisch Instituut, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands","Mathematisch Instituut, Roetersstraat 15, 1018 WB Amsterdam, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I4210128315"]},{"raw_affiliation_string":"Mathematisch Instituut, Roetersstraat 15, 1018 WB Amsterdam, the Netherlands","institution_ids":["https://openalex.org/I4210128315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109855871"],"corresponding_institution_ids":["https://openalex.org/I4210128315"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":1.0837,"has_fulltext":true,"cited_by_count":42,"citation_normalized_percentile":{"value":0.77186589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"8","issue":"2","first_page":"86","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/primality-test","display_name":"Primality test","score":0.8525428771972656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.804356575012207},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7624698281288147},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6566976308822632},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5104381442070007},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49732115864753723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44405877590179443},{"id":"https://openalex.org/keywords/number-theory","display_name":"Number theory","score":0.43805521726608276},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.41405433416366577},{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.4112514853477478}],"concepts":[{"id":"https://openalex.org/C191421660","wikidata":"https://www.wikidata.org/wiki/Q829546","display_name":"Primality test","level":3,"score":0.8525428771972656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.804356575012207},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7624698281288147},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6566976308822632},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5104381442070007},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49732115864753723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44405877590179443},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.43805521726608276},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.41405433416366577},{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.4112514853477478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/0020-0190(79)90149-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(79)90149-2","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:openaccess.leidenuniv.nl:1887/3801","is_oa":true,"landing_page_url":"http://hdl.handle.net/1887/3801","pdf_url":"http://hdl.handle.net/1887/3801","source":{"id":"https://openalex.org/S4306400850","display_name":"Leiden Repository (Leiden University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I121797337","host_organization_name":"Leiden University","host_organization_lineage":["https://openalex.org/I121797337"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Inform. Process. Lett., 8, 86 - 88 (1979)","raw_type":"Article / Letter to editor"},{"id":"pmh:oai:scholarlypublications.universiteitleiden.nl:item_2718643","is_oa":true,"landing_page_url":"https://hdl.handle.net/1887/3801","pdf_url":"https://hdl.handle.net/1887/3801","source":{"id":"https://openalex.org/S4306400850","display_name":"Leiden Repository (Leiden University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I121797337","host_organization_name":"Leiden University","host_organization_lineage":["https://openalex.org/I121797337"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Inform. Process. Lett.","raw_type":"Text"},{"id":"pmh:ul:oai:scholarlypublications.universiteitleiden.nl:item_2718643","is_oa":true,"landing_page_url":"http://hdl.handle.net/1887/2718643","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Inform. Process. Lett., 8, 86 - 88","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:openaccess.leidenuniv.nl:1887/3801","is_oa":true,"landing_page_url":"http://hdl.handle.net/1887/3801","pdf_url":"http://hdl.handle.net/1887/3801","source":{"id":"https://openalex.org/S4306400850","display_name":"Leiden Repository (Leiden University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I121797337","host_organization_name":"Leiden University","host_organization_lineage":["https://openalex.org/I121797337"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Inform. Process. Lett., 8, 86 - 88 (1979)","raw_type":"Article / Letter to editor"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2038838437.pdf","grobid_xml":"https://content.openalex.org/works/W2038838437.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W184868352","https://openalex.org/W1480319329","https://openalex.org/W2012857639","https://openalex.org/W2048472066","https://openalex.org/W2335522581","https://openalex.org/W4212962500","https://openalex.org/W6607613483"],"related_works":["https://openalex.org/W2013951334","https://openalex.org/W4241485301","https://openalex.org/W1488979098","https://openalex.org/W3207297624","https://openalex.org/W4379791326","https://openalex.org/W1999604759","https://openalex.org/W2018105919","https://openalex.org/W2406231697","https://openalex.org/W1931792851","https://openalex.org/W2245631212"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
