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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 #1100000009053680928 1,906 digits created 2026-08-07

Value

5831660103697302540095193051823928310692834317810759042270378330279575365065856611209178412245565630070627741961292810638842617289804610641397683280677531327942423834387945729279845658243537579427078562830746736310328670931831044891953842600794033543080758599798279467334342154757385362630567138778230245605513917783799944325860245304996195485544178736918407821496922067477264374428956971002748493039465136734347292186733713207011136535670572292346348871095581325335804317065430731535890282355948822856576565314540812529671805163875482648819790104628695742789544621602849040845587948357027818289703956851379636130886880888990381852024866376053092165736531297299446425075977790888445040752301867167929706575851978018482984070630123901616514618932319046258245622721524706626937512153162469849826030259576603525633423208666060903718214476602327771772628522050611358369894705746262953000115266536289549246820067975941452218463670864191539621996895729595894630101873278647481133132238342740523474665101036967850540753810036445101003832066594607716020849279566274837180991497337992042972013063369747767510721464129076923282337670785435610542488989296596709555737242177347953940354711646044340061904696767235491425697096721515546240909619111953764891917533079560256636115968929153444634581664178684819398917810284892901085977095548263119944717155001929614152947298811236965901870783070884459135219413293012415604178200598483175452536073022476441715283619559082987326677603282868854344377291398430625665862320291666509630657588796288497057076614453442281951324229277803637952229363114918661421411226877459372719454345368927592939259994667224948291558691323231477762496646664719129513916488483635101206638417523618386620684121277439722405090288656947182251805384839640924835074026309253502211023939746839527180696742558558541718412017683964290482634048309697616118667778288684483425713855200742160191100103804368371
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,507-digit prime (192 intermediate primes).

Certified number2,507-digit prime
Certificatedownload
Certificate chainshow step 45 of 192

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053680928 --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":1100000009053680928},"decimal":true,"detail":2}}'