{"id":"https://openalex.org/W2038620522","doi":"https://doi.org/10.1007/978-1-4614-7258-2_12","title":"On Primes Recognizable in Deterministic Polynomial Time","display_name":"On Primes Recognizable in Deterministic Polynomial Time","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2038620522","doi":"https://doi.org/10.1007/978-1-4614-7258-2_12","mag":"2038620522"},"language":"es","primary_location":{"id":"doi:10.1007/978-1-4614-7258-2_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7258-2_12","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s I","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087367773","display_name":"Serge\u012d Konyagin","orcid":null},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergei Konyagin","raw_affiliation_strings":["Steklov Institute of Mathematics, 119991, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics, 119991, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065324760","display_name":"Carl Pomerance","orcid":"https://orcid.org/0000-0002-0960-1692"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carl Pomerance","raw_affiliation_strings":["Department of Mathematics, Dartmouth College, Hanover, NH, 03755, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dartmouth College, Hanover, NH, 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065324760"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":6.7391,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96176471,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/primality-test","display_name":"Primality test","score":0.9301899671554565},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6141287088394165},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5238984823226929},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5150306224822998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4696853458881378},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4614194333553314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4400274455547333},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4312064051628113},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.3883778750896454},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38778361678123474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3243829607963562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2939910888671875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11543723940849304},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08861503005027771},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08212405443191528},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06520399451255798}],"concepts":[{"id":"https://openalex.org/C191421660","wikidata":"https://www.wikidata.org/wiki/Q829546","display_name":"Primality test","level":3,"score":0.9301899671554565},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6141287088394165},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5238984823226929},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5150306224822998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4696853458881378},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4614194333553314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4400274455547333},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4312064051628113},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.3883778750896454},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38778361678123474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3243829607963562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2939910888671875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11543723940849304},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08861503005027771},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08212405443191528},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06520399451255798},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4614-7258-2_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-7258-2_12","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Mathematics of Paul Erd\u0151s I","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W82922821","https://openalex.org/W1480319329","https://openalex.org/W1498769399","https://openalex.org/W1528471041","https://openalex.org/W1534126003","https://openalex.org/W1581553466","https://openalex.org/W1585561247","https://openalex.org/W1964053266","https://openalex.org/W1985975944","https://openalex.org/W2005936791","https://openalex.org/W2011592066","https://openalex.org/W2018013626","https://openalex.org/W2021446977","https://openalex.org/W2038838437","https://openalex.org/W2045664183","https://openalex.org/W2068881351","https://openalex.org/W2071858419","https://openalex.org/W2086924654","https://openalex.org/W2094730930","https://openalex.org/W2106160186","https://openalex.org/W2106380698","https://openalex.org/W2123355614","https://openalex.org/W2137521902","https://openalex.org/W2141040012","https://openalex.org/W2159341052","https://openalex.org/W2313790782","https://openalex.org/W2315032362","https://openalex.org/W2329291360","https://openalex.org/W2329786316","https://openalex.org/W2330778380","https://openalex.org/W3115146178","https://openalex.org/W4313053519"],"related_works":["https://openalex.org/W4385966166","https://openalex.org/W4300905728","https://openalex.org/W3150335004","https://openalex.org/W3105336851","https://openalex.org/W2799924185","https://openalex.org/W1617031287","https://openalex.org/W4362015690","https://openalex.org/W3037248523","https://openalex.org/W2086804846","https://openalex.org/W2091700477"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
