{"id":"https://openalex.org/W2068326913","doi":"https://doi.org/10.1090/s0025-5718-01-01321-7","title":"Fifteen consecutive integers with exactly four prime factors","display_name":"Fifteen consecutive integers with exactly four prime factors","publication_year":2001,"publication_date":"2001-05-11","ids":{"openalex":"https://openalex.org/W2068326913","doi":"https://doi.org/10.1090/s0025-5718-01-01321-7","mag":"2068326913"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-01-01321-7","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-01-01321-7","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","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/A5023665194","display_name":"Tony Forbes","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tony Forbes","raw_affiliation_strings":["22 St. Albans Road, Kingston Upon Thames, Surrey, KT2 5HQ, England#TAB#"],"affiliations":[{"raw_affiliation_string":"22 St. Albans Road, Kingston Upon Thames, Surrey, KT2 5HQ, England#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023665194"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.438,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69739258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"237","first_page":"449","last_page":"452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9717000126838684,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8918461799621582},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6548386812210083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5817751288414001},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5132033824920654},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.48793265223503113},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44843241572380066},{"id":"https://openalex.org/keywords/prime-factor","display_name":"Prime factor","score":0.41248416900634766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36405879259109497},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05717283487319946}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8918461799621582},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6548386812210083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5817751288414001},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5132033824920654},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.48793265223503113},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44843241572380066},{"id":"https://openalex.org/C30860621","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime factor","level":3,"score":0.41248416900634766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36405879259109497},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05717283487319946},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-01-01321-7","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-01-01321-7","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.109.2582","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.2582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2002-71-237/S0025-5718-01-01321-7/S0025-5718-01-01321-7.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.4206","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.4206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2002-71-237/S0025-5718-01-01321-7/S0025-5718-01-01321-7.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1555475515","https://openalex.org/W2009526696"],"related_works":["https://openalex.org/W2375604274","https://openalex.org/W2069914113","https://openalex.org/W2982600448","https://openalex.org/W29235628","https://openalex.org/W4281800544","https://openalex.org/W2981135087","https://openalex.org/W306052976","https://openalex.org/W3093218757","https://openalex.org/W2046177514","https://openalex.org/W4387070058"],"abstract_inverted_index":{"Abstract.":[0],"We":[1],"describe":[2],"a":[3,7],"successful":[4],"search":[5],"for":[6],"sequence":[8],"of":[9,16],"fifteen":[10],"consecutive":[11],"integers,":[12],"each":[13],"the":[14],"product":[15],"exactly":[17],"four":[18],"prime":[19],"factors.":[20],"Fifteen":[21],"is":[22],"best":[23],"possible.":[24],"1.":[25]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
