{"id":"https://openalex.org/W4240549126","doi":"https://doi.org/10.1007/978-1-4419-5906-5_37","title":"Mersenne Prime","display_name":"Mersenne Prime","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W4240549126","doi":"https://doi.org/10.1007/978-1-4419-5906-5_37"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-5906-5_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_37","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Cryptography and Security","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/A5046130006","display_name":"Jerome A. Solinas","orcid":null},"institutions":[{"id":"https://openalex.org/I130440993","display_name":"National Security Agency","ror":"https://ror.org/0047bvr32","country_code":"US","type":"government","lineage":["https://openalex.org/I130440993","https://openalex.org/I1330347796"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jerome A. Solinas","raw_affiliation_strings":["National Security Agency, 9800 Savage Road, Suite 6511, 20755-6511, Ft Meade, MD, USA"],"affiliations":[{"raw_affiliation_string":"National Security Agency, 9800 Savage Road, Suite 6511, 20755-6511, Ft Meade, MD, USA","institution_ids":["https://openalex.org/I130440993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046130006"],"corresponding_institution_ids":["https://openalex.org/I130440993"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68720379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"774","last_page":"775"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.5873000025749207,"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"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.5873000025749207,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mersenne-prime","display_name":"Mersenne prime","score":0.8567968606948853},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4519887864589691},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39099758863449097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35461074113845825},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1741962730884552}],"concepts":[{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.8567968606948853},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4519887864589691},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39099758863449097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35461074113845825},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1741962730884552}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4419-5906-5_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-5906-5_37","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Cryptography and Security","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2363280288","https://openalex.org/W2356863210","https://openalex.org/W2025877929","https://openalex.org/W2382359992","https://openalex.org/W2942776097","https://openalex.org/W2363807867","https://openalex.org/W2386345736","https://openalex.org/W2391716120","https://openalex.org/W2750064252"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}