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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 #1100000009123228021 3,056 digits created 2026-08-30

Value

20884150363698550303652391975667287362835255810174841721833654012895258340230453443936446058150497847006976189263805818278701041244698439121816060607901097429851547900126434365765875648331192524193334949318771319854582948136457413141448008567320523486259395415725296256845003141114272269663336222379585427019292083794399145525345509669482441069781387375421706781292539737618208196391522469193185928898364644338040234452139992336970132113773295915088060256654865704444774298619774800841807394715665155684548777620363119066453501598666438282249647063593504153012114347689684162521616784565699321794612061639135615974089468913855501009531809054506621591426985109971801444493617682802747154883898181862139804810570972574728348320528173063051978644925236798267448294288485831092198869230536475941415463770684033418503470009805507769513568976209053112972866051646351289023568412917020542739485456924434715947612392655623379521454964192937039508066442130757658961571357210401084927292126751544816949392071101926986537546563405297419493242296250044468702738755256978598459528763821646729954537155081460933925070109549185873644354143379152198220739927508932370297309089710536727511909062523591681160180997284873811820743616435916871385014033256237360645011258244677327176301563687582707620756106922552939878011468943982943401174648435564815539318166892649734315281063057879065231768448805917681154820753423031492559088674960765264438716567745535846795298527021342804003995915490708856875570569355336991467773967266888796179585811973761570704062691421846403410798025289835684133356664902974843052390359904335639392416344700092375757180578955755123752555049245479210976953263449163895352349427818986696982363056294361540018650772701465918500531748580257796202604411797888877375281918493931669734099891763008726277541933741420182435542437185371226754597330402334045416821955058520793437846895741637453704525382337340498173347452586638405906177651910081144281229667319250368033140601299670597694730639825547631750584768696952052523161858493573540149078236033167788678805362500009696469928164610882460895763579832299699146744059803710303199084630346057085053483272102589776553672567653971933840142031670847346091817666896690064087620992580705462788728985921664510284706147924338058826590887532348367728303307575260711954615126524963568571062721349658847519874486761373886126229821981453549970555397627195622250303673679477616360487319972152785634202030148721855166794456824492525768753540887651899052115053524153034490811201167374099869334699443798587880049271466287920907035682648767922289128527212629575044467916899708796398321868821732231214769840959477877313387264223498952644565873826034112536487900481469408681434551064164008115654877985469009063893328652810632647198078173225339526080791347904057238843246396125577404271412113460776597625869805866999942287588300111528904598144489521376958989211415393140948219470987596691455278869644903746320612977804902438030401116754748256387122765424002399110217308023024877063279412053334326801271586842935622772485031223467
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 4 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228021 --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":1100000009123228021},"decimal":true,"detail":2}}'