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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 #1100000008801223382 3,999 digits created 2026-05-11

Value

864519920876690130006644484719376472809917066773861336057089247536064325322165570394413025322434716221000844620384601267419777947855306374321396353314918463161186303221152782369478746885190580868047052897700516576100937942654308911454934870620232792254224694728747424768420553086952184283269444364691007627873741495176220903235667425238871356068268604556209345551862253144826179130781824820180009092514115858512923031622142477442328223486195745906547825627993211293522036104768513612207774393504037699859591250893182331148287065091518442551209507791795907796730049685725584261835573324503694122352709054370169508295086217508567535190267526187541094444128602985892581866790848963386620787216674043004747837607887823911495370739032513076382948559832258964713895461426162680054055607467622756315526120903789451200517441092213525905825347181976433002238669520267572559337988231299650918222021894541400955799561351314370014225015252109394374221430984438263954050614656494667498670730194131490511836748500001843837347292211922530574437646503420796993831396090518820778747556973968365807079141359883547190395471276620224146912120374483983673517298903986595001790593760059048947301012801803142589281938228096564459800178539518871018725143089692351053160839592266799173454102531478587032276294856118280098412971882060432881783262637820682715406514043071168695793386702106395637821701872570752310510704559405232650681909703372201148749867907596085409359435959435023912725205070304480911411658979158751124424228911206326620183069547115507518085061088465344841809812833993758425761917132650744481283821795100998628149530674386560900960787457896316481392983309222706673335092525409297156812467970063793635667430584961337205066714047550301147231682752209702419267688774969658736464612226109905862230136144650586203350472764836410280244295815969528545690550107270803902938694094812016860233937921867854462287923763964334211916467459115194577853716402258034859931219991912975306476873203413200253923358934159877864855031002345153827968111791739524090113618985823236787282868621697548018285699164855526180340954148089381827544340948261435763644831021748876237214939722091273208108304592928231324707997884479894783881817379957433215129177368044439741599012712865896453991724848585401828291069461424086610858056450194301805636881069936490757612847328230253321531566705177460588715733154319235523699202028223325832713633954078731570701082627933098526611978420260090646333207086821200682230322029690175198844285668282188632381590536106558770633472599887820880392858970093540330117363021321044220738208187387442172749242165036206214512133814576151837511350999717900672098455782475381969791477595299034422283476382653129350409758950868454884188337801296508007687767344267168975238261458504510766042048201862610130950624638748242020700398357049967797050997151366475396410782878069160083235777817431554737996272335463506331583389333756656908883946479629914663553293538331824393805280175814841545102801512024223320726607021905925673016830139988179111465262260465521653209384884700909712644047092909674583616098665862155054851508967375394893297195405574600564707684162468031947542098896036064777011797747002475748649525543490610062062012723471417463189549174047812476461469009727643891171362142878769720947445155823996831992770784110521028307450942250848540730084091526721122791243539167010273010650611601301973864952727609692616190854945298729474402722036440237681594207510532073226412074565643484926267478179955651523893484417957912221543254597341081764260264626513409600140254569380316301382116625271696151625105970771255124516151891612321438207277391482451264884074611976064062081245342965638078271989165546070537587144109897678568069849536751386986595949874937022386655083351781623782379127261022925489907083850430848958260004176672311929449785805108617445799086454006946064942515170552224045325682725461215392716228453630710308422607042770579429846303347296532349858740820218915613686882585437101451914469978933075325213
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 4,069-digit prime (253 intermediate primes).

Certified number4,069-digit prime
Certificatedownload
Certificate chainshow step 5 of 253

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008801223382 --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":1100000008801223382},"decimal":true,"detail":2}}'