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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 #1100000009080586638 2,097 digits created 2026-08-13

Value

484523299680867081050970997281349493383115790720442560036044338773400415801233714272278473272601819664390433298833040724846509149389328069457239039159747564054149936571960151242709901765082623196169949734161321207386410278963865377362625037162425697927896991813625598478729695391986053168191599010269006287568432412603035719647089246944723272212306313157071852724583445124275232477764536392655442274922813355500679667026723568382884889563602011342678817923968802157010977243632721830669016118812324901446917194701584051684766405252393030316481721649840948415475764458800104242389740928528250055513194071253453013991208643980795918187152938207016879802078167591299207262039259156965976253059732666704305258490277653741925208059117235397863085265705704989436311263556358670889478152751644435218587118807897313864081952282828728215109804437599321826620605669496447090338166774066857204651337298279930869847601084247048074708387726039736685665563691841720472666815286594100861578223795636147460526074264676009939682718874437371329210359950223126223847093957759201091604398213204940947992443045102784645205481270494848740372384126243094826068696912982581085195901485833671855073845092156327186948046004744016847126046381301291350296411272188574901432638233213881444036084264030722668301344122041530046017604146432081120562175566146852788319299619543625132825914047793772830343357152609052379291490949875479809204859280711883373906754409059024872555036507913330172379397064306854478618357855484692063211274979123348965865657334916897110673457233250895013072414372114381802628753827065186598341813200848189216648850071127056032301823794827221613134216926138406494036414508537657989100366026891543372978837496849996582911916647607367076141021219810073125953104816623484131622609464046603664612429190297017405383692072641572933674174499403883129320819798273392815617592036755596712680746270203784667392183831333658001652344324843297925872439865195099737597201969086558714872313276676767027455036940797032259613658658513252773322947340833065360414578759313364900878042974498842335681939751245338113280408043
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,179-digit prime (183 intermediate primes).

Certified number2,179-digit prime
Certificatedownload
Certificate chainshow step 9 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080586638 --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":1100000009080586638},"decimal":true,"detail":2}}'