factordbrpc · fdb
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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 #1100000008648834645 5,356 digits created 2026-02-28

Value

5830622169347671923760336261493571626244358317094949294258840603222266385944203765084794197925878204255235877741228242141049344137704029533408093805706427101783600476076189143250072703643301205838296057923850976653464581488610085571016212940723432695820585755268176897438042587665650297982067608099336001788774937220495410730266622829141620266934403361347402361801961366176553132313019560163265889061018728933252144601817730851437479489403879400001491038265265736264478039553811423386443181128913604843527683471178388285103070720506747986920537792290738988591246569095048400226288806120792205254194897567675068661709188504216968901418319299752719905518588533347918833563881227946611352931268276954274765962292957231073829648867036549004175945050521217581759732935196224340536412131550098128052505532565638286857969208637812578834652832245866842390874815577539962223818136515888289274111422547793976266412761009944718191141552376106472030574095077327336151270491475961000130211561742197738520370625657404136033660143754735991570615601594966490028693645193332603297740149880826841387806929929204605348961027359411557807814153406823742889206132866204549311929795101678934825405849260420138595550809242451771983112410839790762664792032853413456365330157015798002116297717303811407380327511859109085591737538358787608929402101792123373203784978761904130872913779369663862002380841008770245790069434244790617082227667545524319440140702415745851676326248191005206019738118065514797130532781920410502615839079077497850943349764982065045986964626181317063922843407746098204081559470955809278631380285854298965576174390620807189944320428602486666106071876717013015729356369986178590261813667727450854874805121891016014261788247790694552052688218304274415401411410293783897721165344610887775180963746483039579076291975526782004854471148336143000607901590516805734040428882595618102766904562944892858514470374965288515311335474521446588257421595335857716911603479874614961625961722891978389875523683357172085565573000438171050905276029163593865189024656273900876662055655369761198497405467448036889236464322980452349254112467730258405839028202808940260270178902994665758976110674218859292250941795015956907502397173309698688827454638700377644138093620874837941611857770221093040345876670968409978881811720412671087764584732473073711011173891408036192700609711677695984168843048713276417570219245030090422085338895912095189338418296117839016870647044333797457982654699268894843929119522429725692286889560653055792464839176421695806944438079780538566222659217366568682749850282831468931060295677772189644411232187383367069679516771059336442830109788422576679946211739920237050360722079578187920729581931580461579607154571904625294927675401871401776388891666335753483956157831528552672783277730625501159337845425877331806525617865748312221932161222635681180353486264936707784251912610454513247736274855240230609891354089760496164797796664096459864550622033398151350658841640634682633665451403054727548862932888415562596789993350608210943491407729348314189765328024204899268626811014604336541727384514131732838261297060796255017847914185516198682708034165536153053039626134266375251828754986499935476492670809254512102599423293896492211557254086615249161209918488228812621628914985575951177344914013505577982811683994499949372765795741553161284379864841281219368177637098368297872250861651046621794629383779026386451849729480661772165096635838821289845503358530809026107908871838095248271667014510330768646858392175244842185315655845852953667448667282333703359089525756766404648568030416132221419106178468991464315948207866380864411266028303676156640984737261378546123247512552750776915098685611577118447630391071221478841695933173963532823030834121727706780031048996208821520271436330037385126851139220081382621286588642615183338432087093217296690821917444026921216729746460770049379404663751175359871295041252021309364913395139547667154613026852254638562306696049488427989600344254223898373378782249132794493128187177631752613640502645497590141957914871563537380444190964849101624049390545981445399332717508056508142582912785218323060414271272033737905909913812647259550683293808825160824846939244227751396068507170123165557773292632351270238671784601642348797657714962933799874870833990898283734717874459222804257543729402206223369242385324695436999273629829285425639472531721023798554030115089768471735238312603893550758200040193012092783371060533444410715229165166283516273873280106538040468189149116342480972948624866138271468781215443054575539741382805882174821990209616349302892305328407438375572810435939294898796234057371363732430861106417168771892378035801858825964552067746455748687869925245478821035636970474785780376286572725716558354740472465333426117488482818745462720946982677949724087826165858075827572743388164920773010315314660322198041765325903198587641487049563787189543353020139732902904072831535400696240494948347760791169450167995628057809216831468817240936467912051590716262452217740405222526702383670106838184975216888063084505825951959443071521626704272316672350357712783636245196258078867838327379094567430912004211325611844338534058117228999227243642477577601349369394300225311943049118484866217755785464240217250999797581053464018709438396451409692633221775623981768670398846376406486541040534855048762046617575125773937801156097074701975523
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 50 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834645 --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":1100000008648834645},"decimal":true,"detail":2}}'