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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000005814643330 4,316 digits created 2024-01-27

Value

83266868145028447025930348690936787617549056989885031144680804550770512808275443485956867972031066260202245329920468711360782108169931388156042367323785360205709070377950994434381322705317560559422878655138891216836274468187893516935461600708523536099678518498950074065098550551731189409328648741663690304994607522861011157559463189306516851708786091405127268384978665679149950545419976932821710066344294754056711247086529210830336278758013566163812188806195683946390855653343475970731563568619358386301283049899784603698583604736279914779847042641617352022853021591697415549401387812966868675934942690256035058523191152352244131709915791079668868856167404921662082857795135134282965843082195669566768046646184582378345264382498700466068330544012066404574073881389997825006678511979264309913536088687067766973970898690144344484687531921139408331958423041559167030266241553480275906045134278139407167580590184689228975163918398222550764264644640945458624349290337672298165696910135658130866147061385210068247522206125377445458819448592718977653385068379886758699353293688747843042647385579993860620142121236120506822059616687662255385290369785131006128921365395377312028624052665775748169436740243639155952934116278399349669924339748378052910829005100908758784939347320978505871976860236269192101169131691928794249677388670985342432751522434948348048437832442054541322888733028031979294616052496645780777892895981691430726751068924429234119367319858386286140568160179263104580156237849902896187779070391029799446874509305350704229949206494976546951223570581831875325358570013813059662923709306292744773721067639484019208438418791008330468740894036689015475720454668738262900632249321333846358038192663686871466181274931816229441290190418475204380325246641653211890744343853214643014509742594768713190814440654799185743031985804669396294214164149531244365471123761636178265715045764208153360252720921757599711164818774633451883662236512725516033031071945547378944630836740105477856399314027308084104990904657138467795532777173901890329964367626570270883154065670141319194504461727442910180887945489445615980715186121357191820797693564748046123522668505150800161065934607284109441344588852787399750220183995385304849527202869375234028479329254428479493119408514105763958001992599940476469815135025819663587200175967697295808636118810675377626709360111352312079305883435902290428885723025330342154368850345416844242131970412137360486199511056237420635331355539907180282374564387433700405064808178957555135570236723718149858063537435481199082041504519943994014914533965140630988103921262609632018874770851388097336617416556065081254023717056105570717309821184104317231638275361812966466394104815264241046861756080051843303474552236806255367894560286881731025775455004605066632653210424038856069696395064202373173792265700771048920773379066634433747450581426460812882141028043941092322974793919231862343998172747644426574342509647344615532398911185583853015826547848355574884316408719686624028040848065789729661673773601275207539116356830714953515120674927024975914936105089547344593617332227836410661813528938375343436672167463653657577966751492331653731406948283769428346187699382211062003032047960177751091835897936967094573620778517774984268379814819581663499751491225483293079545271544575732090556135734116480480824359051589857323589642108373231043445487583646834775519469570048175730851840733908453326464023421642175761360819172740253523124357018807110285765701436441196653347882343275854923846260761566403089007625368813575945935600300946610816924360389113680583360391343497856254376037256133449765928718270247118692244020405369786439860700076361531453221430343513370820951455009591494912362494784651363779381203413716038536419149944151650340488165167260595165875506585739422916346472806645488481647888266216121543580826231020232419337753838683072759094544666172145337199739717113085987988993446668191625149360838005961279629821317844755741627433360864982131385994683436535162917331584002788238062864913032862902454158412401805255371488106122922946027450869871572507608582777932360040621499154683955001611159059471976247115914138477242011926589007694379154571058104674145070318942448316270649443297810715064174143764796702331858585856031261359968979644294452603824047051121568784539493555616066544980736140470277091
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 5 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643330 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000005814643330},"decimal":true,"detail":2}}'