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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 #1100000004820854811 3,931 digits created 2023-10-24

Value

2012678587711719984492870577841347054803420456436688430963956848865967876946784225321685381450934532084259942633231865090942094046887610667559947890678001075169566105398470953771103888191451575809898448398221053286356820123500576357200252420607287092430466778481040322719993135303972285404633570659810777464363165410370448381938564407027106652621245054952697692671474535304062113938285224571746020822149236954578481036853944997378606652427558965893432367793085321411941067842014614878687161903102091137794464761951862626658112622612032998400289804964796601944075668356843394665613131364388200445729543934220380716913370211113851179701342506102215430914199273874253789352619834059104451106378222651378076058464611224007612001769479151126024690286426179007482079611151829710337602681464007458037037404434875025123176090299561415347199968471615596945268305467131981358179950867665082516364542629216348976554660615961917288734466583397789993959411118141132387251350686741009624623686027528846902658782350877866291637426641438696191447026137630695706494267444143014513565634808864098196461431994860932150840395447101096032128776537386891092075161757649630550269713587958896501281534724695733216998050209227177967413556740373369259797425662861503954753628606495988377694644651731394708017322404863154871844502757596841360460196135103342096142641922770058983340134482725033311495195992773362004504117491128274909633521847734628200978860423649075669808599932667866335567618060866690624012188598694437158800810604159834382648362033080479585165722746304143646054255216255069913660274331880203099673482996972304349757926384575133671473137385658251267058567698060374444307324874393672258442124560011810788283695733201829917487457507938864951790788855051833510890263800338413513272929330249523121464524307616151876338598039861629176096116365972361204211173417012440548444399298538782896505160267336045663427289767767581541344877736815078257398015695336601182646920052504192966657129844036329589156881176073092869996905327481808646110337420980163155217155050346060934587250793144792660113299076311741451687726977743302145517539640140714331712248861372379036299651411890989202305394731137782953759756875315279950362699983121492323353700812247446522234309082545727200655708875274154750182467455128588432544032861323713018111407257647437312303642144068871700163939628478831691088979660330480107292469049038772680106912723847191452464884688022641498541931623228101161450377984009136157942552464567287608763225851296723919921918648775257905521995533308316065355603283230533979624783323576483707882920442560182550416103025471936722649343911681157261607502929337567988472033605241524513903461824397594365804586781321339219066521475062331208277008138520473442262586471157342712816123166732352546496878033951922463424519370679081628264891294835689091227842122673117034696077056440519602813746007900319869374712580432072918942555124850924076973257934462851667228773418023555360179416869591186981259578703904216174920434276409688754047145267221258945807812715805208936867305394600078588171104545695795008499067404430452524387919160898269583158848886310121414343157358142413844384912588800695425259757433839785776956329346514952168102070217203015688761295160369857498192297823305763037203232825932277935853636224760292701717420253970434258063746976581732432674072076360650305683429897359210951638987785783107190125851754670571110629445721745068610576770985446475584584727693599778647222151388028553414792955591051414679958331791705404978971413497612148343794432474802443768102433018405651269486735430771832462357985052504220458552470786142007851413046037946387700013973525148286854665843483434705402835965481839161971135884634478985550538836989168094415921854099806222162028530236208657920980861844647411425232416590698176637532781464900020389512192566448910605028773679301178200861015652613143108059292595835893821082776068851140564943682596674824967469657
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 4,826-digit prime (487 intermediate primes).

Certified number4,826-digit prime
Certificatedownload
Certificate chainshow step 82 of 487

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004820854811 --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":1100000004820854811},"decimal":true,"detail":2}}'