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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 #1100000009078253286 2,125 digits created 2026-08-12

Value

1898408224576409970188053016039505315860560335010707935112689866592127167474947551840013232652967457822834755105107388290365369379923045417690595965123545486411195124376816524254448459722714410857175370884135731583135173759161572384725091977511781876142060351399587826843553754862010975957850004215778739769848284013110283921490601764391784836973481717660115806643344473960252509899839770254083946097562825563515937210295218325150862926494234953348697181946583218520131849808708146751787325730414328120167903872926412739084133291369753795448096275128802434265450101131275954334973658269474716602610664975201296804744188329264949384036076423493767585083931094074268130669673875557257632147696566916210262183733026920363343239390185343511093670536297129669496884792841040568145329569312088982228897749330486116348386227795489292990387532949597333556858965505725381024172027744032765995348085995171277133687258330261141045935899465212867234388309358867258576802088237566934798587519484012204399965551115908552650318606390025261661979144348437914013424747925231794613880349801112328298713631313909849649845292637183873890500991741074434048955586848508082431850390149947372014847115784352769343805523267595228414790470348819449308151257914045927827763896609677032983940803605668369645106770630503608658672278017874868103412491049602076957722021839718338489962872069099274541845753900441903109448443985989972150452213753848097996860880834800834829118886147991543664208035023462757394269443216851675571924390659206563148066824263735621689726990728090240564415639288580519548958087561041844498394406179022069806671297794315199790002030465219646411787728710604696712430797124859917726302052276322110115028168836333411130435028701921063264010395422182716822467357438195917804408157048260916651549982351900132201328995587332236322358379108649146615252420163189755153592972628986726046222215021973013951818494833285132255691141131851086935643629356962124314976312512968957807981130471663601521497844705770008983545684950866159561105820622216273590338775836762723871905720290381984189587447628625487506282363640702713363522016796113121243
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 3 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253286 --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":1100000009078253286},"decimal":true,"detail":2}}'