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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 #1100000009112552633 2,156 digits created 2026-08-27

Value

22116897364273181407478970227930101234673612173632918734778290759302433703897864301858192369161680957120565748607596471820765539040001976695667562954248927447017410472304705534564780100028306936693556010108196157300376448751907818516116271622555257719465348897039078904066020329671578109772237193370597535014124644151623032392545379953358913619116368078678101214494994495683803382958643201018928437759201937271476362457390492122578353536177352713407269238161568319316505654998631053162124692649450934630817799352075657150868871372256230805259852508221049363515788941607423229909910036862977402169560379510908745009250727097044695477838749678629886073395897184115310665799668239953275106302746680866750888330418949041351330641209772889357075426320577432547283166157640717131784973363400796247322866471775530727062012591586254730365843204621516788129568473837416323790537088737589412688042564791087130065297962476807660376551924606182931174172091359927009452091404075114223846955183803767935840856175713868722599919777139562719561286836155810538503464099331460347289310270166964800459049282033002160346839806660226660450461114767011945344523367041072576280174047995029323786644191323168540377034128383899517765829081373936131344279564950664215446489532156314931439099322983680125060310284263778998902923681584666285319266467183015350674310920441644225336102719726817993089487269775731716375204938055106119047897459946402103914193682890739694623449052346609696513039058273740584741289719115782828719869423678066011809362225065129497028627685137698211977692804423921215461207204032337504044800618447602320378256664754740396157113662664883796379934949155062400527083879475398312801466577606481610714581953170793471536258024457398570694736826172467376894476575516691055129137059008194447914007976015059950421772305153294686997677792590526495157571661089792834670840442103124614723763930542972781519044107867222164469014207217636081591240068143134714660219051113732012733817914190882199043459167640127098132635873271745808776960723963640359153497082801723229735015849581923247069933475966138936203043960169167019295340409579433093880241503733103767299116099099171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 3,007-digit prime (215 intermediate primes).

Certified number3,007-digit prime
Certificatedownload
Certificate chainshow step 63 of 215

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009112552633 --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":1100000009112552633},"decimal":true,"detail":2}}'