{"id":"https://openalex.org/W1498019180","doi":"https://doi.org/10.1007/3-540-57332-1_37","title":"Speeding up prime number generation","display_name":"Speeding up prime number generation","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1498019180","doi":"https://doi.org/10.1007/3-540-57332-1_37","mag":"1498019180"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-57332-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57332-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5065899366","display_name":"J\u00f8rgen Brandt","orcid":"https://orcid.org/0000-0002-7580-9547"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jorgen Brandt","raw_affiliation_strings":["Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","Aarhus University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079826922","display_name":"Ivan Damg\u00e5rd","orcid":"https://orcid.org/0009-0003-6164-0896"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Ivan Damg\u00e5rd","raw_affiliation_strings":["Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","Aarhus University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035475158","display_name":"Peter Landrock","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Peter Landrock","raw_affiliation_strings":["Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","Aarhus University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Aarhus University, Ny Munkegade, DK 8000, Aarhus C, Denmark","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9857,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.74271845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"440","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9923999905586243,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9642999768257141,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9078999757766724,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.7360044121742249},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6443946957588196},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5872551202774048},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5775712132453918},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5477504134178162},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.5044628381729126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4936769902706146},{"id":"https://openalex.org/keywords/provable-security","display_name":"Provable security","score":0.45293596386909485},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.44069796800613403},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42555439472198486},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.42077693343162537},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3522605299949646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25641971826553345},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1898302435874939},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.1554608941078186},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.13760393857955933}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7360044121742249},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6443946957588196},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5872551202774048},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5775712132453918},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5477504134178162},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.5044628381729126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4936769902706146},{"id":"https://openalex.org/C131672422","wikidata":"https://www.wikidata.org/wiki/Q852594","display_name":"Provable security","level":3,"score":0.45293596386909485},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.44069796800613403},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42555439472198486},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.42077693343162537},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3522605299949646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25641971826553345},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1898302435874939},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.1554608941078186},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.13760393857955933},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-57332-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-57332-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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":13,"referenced_works":["https://openalex.org/W1514901799","https://openalex.org/W1527534931","https://openalex.org/W1971911265","https://openalex.org/W1998777945","https://openalex.org/W1998884984","https://openalex.org/W2011228818","https://openalex.org/W2021446977","https://openalex.org/W2037690423","https://openalex.org/W2058177464","https://openalex.org/W2068881351","https://openalex.org/W2172061174","https://openalex.org/W4249572609","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2003101256","https://openalex.org/W4281800544","https://openalex.org/W306052976","https://openalex.org/W2046177514","https://openalex.org/W4387070058","https://openalex.org/W4315481288","https://openalex.org/W3101321773","https://openalex.org/W4232276891","https://openalex.org/W3112335383","https://openalex.org/W2047954281"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
