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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 #1100000004817521916 4,593 digits created 2023-10-24

Value

425807111958440106718674254968486611021342469559152120191531568988940011006631352039666604580598515105379682214335807525516017943483915261363478196336472610152909858701550369609130428581258788512438526366190360736362554334532363881065853879869943769179015003539777009706815151586753738807680964913006792978509448102861309478746341424610927269692870826405000768656190148999046349998957728609069184098647137683109606328512016890459763839071254759736959113839795770149141538840510190806462383059732669103245638328214794319562098914813933977816956698537448637018598381483449272538599357143622173077976707072190207757060270253103865268633910530673805098570626128631986104292843204886532162848287707575268752927967098143485607721513024297028548280080621469721380841195796504395790796460981766788723018392894024025050884357099760735493627358091929823172202434985911496073975668555670222554669256960170504632776477872178687422035005796364502393648204702703022320344476139747808754340185028198786233862388834574052936797121705257048611331425408395901165457132629329486971445029657916415880839041052311982527624854507122138104267725753174616496942108293659571024066310905522365354920015262738321663276729473510848429635857179461414262935663897082445263147039325679891233113792094012935766503900108878690495640411692226173922644083306730896799434302740241520033601498165524780917038915317561335802688581225270740569604965492435116443092807638098404878347969583627791224780876713548527782905855789787812905192274802081222463589744355951967359133267401089185722074526874205194545288649418348782771774125409189181974427480554318972283411524900367338548171831148643614531588723618086008062892682084689956792888881160042831953532929587456349755007337757625905512462233748169592719837352915803956462091765901777288389745810421150645515908642431853615898043914301786717927773270967819732570474272359803504934124712595825644124209200171233872789932670156367448833231263094962469204417974398150809096964959837963610454875663616469273600690962457187879430622705126419196609025571723618494535027304107166230073718909830415002858526018193904504435808393808046351438989285150909052900107163396650501069876722897403502330676984299979705526983481882646739339157948033847448698823669762341854003536023731511747199481999746842474775345432722836581577516997620464822284971228096229079495572692491708951413832004773790868899535336026579219176668356028461369382834820299373099515548735408224248419849124851529128142928871172945863159615747678213614095372736201716466579477638564159186032123907820835889992273236542140973080525381124191294673074041378930334011818741020903587701172795216408625411631189919325714581516746386353063291413486162466118696871917115204792893124925127769275580415978696572987495262490541706472115041525672081249979930960209996589925385180359374101798851170667547440569872461156053008488572153912808722449655058464457625751484904618552822072666752964735460229795763683033160400707582016068185032977697277524676072143513478632846453855174352976368710010338149461480991497865719475314366555907519306652406128529357168622630264007211487931198995293367686062115566165017410977172040476573338783031453740045171565605373262205416527185369868422497419170679465033304455119687794616430635083203172845069249356927534834860390390858523154477696292549262879448257917698614710067811827093713647199861585189975891523320081769417919619237001555541575669681074418752586222476236466394942122902281995644582409070668404046624932848521017068902941401667051004328220057400320047449661581703665747390448783840973456467116144981224472459447303771878454640200673744673901053457718148726830597447150328565284627155459415949790740700996617307354178873226384005145592105409112086425793723010826769068148086888050115257460521802347157143512218349059256272907269699970429114077263228345783957594264961190490498287162100724160890220494355345168509101706547129669268949287155220808527464792538032222112333418827727330966152508990430621754342262167009419414977552194124954164939548276523202858036482266678737751146021868580949016943652636782265138236914962429688682347906468877961486501367665253000815455448691578561610227335931522733463002473437182865092698470115196468321471131736243364291089509401075483784695702891210722607751237954442921695678239689612470192512588555193715761377616429738425377418956343780812732092216739751402674071419985820523481920529227400197793710194970188307661611346412211843262679842158747760480629584464094840581117659862708013263022665249298498885616894947227263011541659800536223656188982482180843
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 5,192-digit prime (708 intermediate primes).

Certified number5,192-digit prime
Certificatedownload
Certificate chainshow step 77 of 708

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817521916 --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":1100000004817521916},"decimal":true,"detail":2}}'