factordbrpc · fdb
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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 #1100000009122012865 2,415 digits created 2026-08-30

Value

154981796211378037711875129075215462908881568151502282603718199344843416411342556692812886335716485512568834417538832913742585492488919252725213322035087147784487164776067934614954385214144895741335990925589441187018375983965902518428836976033961659434761651680058351155289081591163934944211720589147662256502776755726423873737813122499189012574212726262654698548277129117809102014712341060523090854471120098383390428767641648117431181566208884613356481494002677137840287192359090129572494590151056040033089210880350759468986052389324660719011641403815529986904761830690557100947765600247457568743083842103199986975480160080898405736002831829936024769119003158525489176193902719529790095953265726750048235122666946532891250303536252702175026118177412367736106283407951930918458442084270536419654016834186075626097568464679802075336711315862720852487615243368579005353760628616638061502692220162032306349324106324342086286404330777262472304507101127716713425385584508995633873154148618744074247979157405423463699856458353096360826025809083396324417378753824607380252451927519605205617208282934860448434805705995764652272199855918142995961450886461131510746954499252119825691998554338243699347300551431748021999675285485509013042514766583301969193753945442326192146958359036247546144462344233681550774708575730153412788981434488426212662146275660012784262863386306583295138024118090299517455087183553706167898306460866279779729984220636923487826057480176797307363905196472900775809442643044068113403948584946370962752158889601017593785405227510392682185772543400929812709432641156405094386002842803909595370480341993051429883497154340499722382034262321395360514095486369863619490677795698418219631192513168677720418741226455322117511403079822648416724134418388901682135120224000896035874046998590436035265878779825112029229596862567140245761937646006171434808347319476317209148843905168527814535600093475852436308199467620882490563952294399574237244252510847701116338791721122458564609964426989106544727024368845411662885670944615800285065262079857802918033799597991363665844384370176150531417385786112690327377881792233262711964889838475919869927522109036575874543726229543374554374136577112498397912437730547944164058386972585536893956783569070864277556084497687989427578746619680956028065133971586135213775113279382705533908618994050784089408957988520933009519519235183259427299537283634470543470278636077993924451
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 59 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012865 --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":1100000009122012865},"decimal":true,"detail":2}}'