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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 #1100000009069115294 1,981 digits created 2026-08-10

Value

1045524677756744993238530651372286181808327696739608312397553340829196943887431567377257217947742054450842453217677661046301448648991046382097702120014847495167887989805844917040118870547798901832704612946989635057145614579632545395380652491380485141201428325550449058926872499351992082799111019508999073135898372699648256345555960664575202641799196719230787247769114403288020557658030270922006418289345310359054126870469705950608979187878244829065002621969471581625646177201871469830764627630080476347574045719853543647463690009866574192009330875088598013543079145077703387510008063261458034986216158294412076918949524303953689426556569619989361680176246469505224903108746026066212686187228770925379734023873369631505476522468962156334665788053881746128990183242947134744218675046838329187277703221900103135079691848910835227161828386784546015998077933963991831998025884908759067025640127633777530414292200943637453789965909233246951908275589736284921973796156602510158550699236930031314287913753357912108032640911547849333278633650374152883345242484575941481630525199923985426860731160561667417057948547173845268009507516206647912150685296636195425492384204645912869552327925359241926498342656361874045311168574778878091466245032888217082133497468448176456109920457565482656505913657439268148807551754509652393407858481211457938127438620524767612462345857839830430504816158177399398888401934222406315132510442755710294011273312797634407250436201714975621844389655461356218757295952787517060665046453500661812459218978464365798492004389919824594164949430350151931913837565608376708342215833753992766599417744068151279879939522594925122417195989987918347772026162866021104715669915577181292616438718269127888115972269921543891042979832965590120694197888783318894058651169280291768963880764291212257994385894681622997908962125583271439640403436913439030434561583029597317691412555010715644547413709143385866861282023961779249452018774978296167343764990764770686449710292662564343461
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,001-digit prime (152 intermediate primes).

Certified number2,001-digit prime
Certificatedownload
Certificate chainshow step 2 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069115294 --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":1100000009069115294},"decimal":true,"detail":2}}'