{"id":"https://openalex.org/W2018662995","doi":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","title":"Generalized Repunit Primes","display_name":"Generalized Repunit Primes","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2018662995","doi":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","mag":"2018662995"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-1993-1185243-9","doi":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/1993-61-204/S0025-5718-1993-1185243-9/S0025-5718-1993-1185243-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032979251","display_name":"Harvey Dubner","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Harvey Dubner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5032979251"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8361,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.63405958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"61","issue":"204","first_page":"927","last_page":"927"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9452999830245972,"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":0.9452999830245972,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.022099999710917473,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.010300000198185444,"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/repunit-numbers","display_name":"repunit numbers","score":0.7609999775886536},{"id":"https://openalex.org/keywords/primality-testing","display_name":"primality testing","score":0.6000000238418579}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.437654048204422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3245646357536316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28266972303390503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25786638259887695}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-1993-1185243-9","doi":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-1993-1185243-9","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"doi:10.2307/2153263","doi":"https://doi.org/10.2307/2153263","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2153263","pdf_url":"https://www.ams.org/mcom/1993-61-204/S0025-5718-1993-1185243-9/S0025-5718-1993-1185243-9.pdf","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2307/2153263","doi":"https://doi.org/10.2307/2153263","is_oa":true,"landing_page_url":"https://doi.org/10.2307/2153263","pdf_url":"https://www.ams.org/mcom/1993-61-204/S0025-5718-1993-1185243-9/S0025-5718-1993-1185243-9.pdf","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2018662995.pdf","grobid_xml":"https://content.openalex.org/works/W2018662995.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1967662820","https://openalex.org/W1970580817","https://openalex.org/W1981117944","https://openalex.org/W1984377013","https://openalex.org/W2164440479","https://openalex.org/W4245090983","https://openalex.org/W6633123899"],"related_works":["https://openalex.org/W2056215731","https://openalex.org/W6885059784","https://openalex.org/W4404484370","https://openalex.org/W6884994192","https://openalex.org/W6911798424","https://openalex.org/W4402832076","https://openalex.org/W2355064632","https://openalex.org/W4256633692","https://openalex.org/W3207025839","https://openalex.org/W7097267622"],"abstract_inverted_index":{"Generalized":[0],"repunits":[1],"have":[2],"the":[3],"form":[4],"$({b^n}":[5],"-":[6,8],"1)/(b":[7],"1)$.":[9],"A":[10],"table":[11],"of":[12,29],"generalized":[13],"repunit":[14],"primes":[15,18],"and":[16,26],"probable":[17],"is":[19],"presented":[20],"for":[21],"b":[22],"up":[23],"to":[24],"99":[25],"large":[27],"values":[28],"n.":[30]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}