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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 #1100000004891312984 2,089 digits created 2023-10-25

Value

1393121018574228889015097013953519887176257047452267175838869656542496282266415420658395011236363401333493597123415021618311831664752247614508829434694050044643521200333682350940742096133062690109008514284476799570483717538052218264437549064645068730102841174844282629689128078543907124751896646242458628249948299600724371198971991140957940255825021756204522140894374570701690391336288644201798484003514512989305464352603075385905415135986061793068105486614449245276636782052977036622385117992395673857297670446127089423700905551802480253459905327811476494039000719779139187265332220415330322541700370446194349060879874939052006760601354732384828157523726984402423000208060572322162527777314924529613001731133261135540776358541475859961345693200130524487360610876656495875685210382458823310153157180275528456422344738395426624043004426077520427349684963495164650604390474903043788825042323805292511098087895375727800793703873258768154374965199279679063264542165970490565694670716761157835176655364048413317999099377367508294038803784246470640612295231290719238003847208244688572155608263755418811712921382878574687363983336374910345644942653248997235455292310099821177942662418009087512327007920671924100773925886096978136581361827976550573667492962895810065412686138952245557914897006501641592117309914199880234539943851975906694141034721102095456285056540483860439921346218010069661852590615800899241054583846690833914559647726964509676452803080811413789353238732815319014700721314159723325470392524452607591254928670768440226457219026255121281494064512015173848336510731314161139686008688018268783568112797553138273709408309438125207472758968024317197617670537651051846726666786803092955394095405202521634885040397268374804972552095696687707694815731406387880029942613566167681388057039293294974972819002143109294282692246897495070376793957915874717016019206701009470828609427499094356638384734651685368366059141631801282523661201080278645666144583725682132237654586393128697877988431960436497967876448720677858138843610212660597435916122923335720010367863753558268333767520033525973239
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,228-digit prime (242 intermediate primes).

Certified number2,228-digit prime
Certificatedownload
Certificate chainshow step 13 of 242

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891312984 --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":1100000004891312984},"decimal":true,"detail":2}}'