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 #1100000009123004834 2,525 digits created 2026-08-30

Value

20121594841532234201891569553995393877321110895986059834878784922188978859341933907603372222832105959639139699484059248915553576110618281553044183650555914305803362483100084955937308266640533027466963505757145072580924230834043129597835847049655013900005810347025459338088690419339574108555679444091538032586770887650437010035514811445747850830617261883830912089730388183766546339289426593146088258292133282766757065240075283049433849352853763075353455187205057370192376084591192614191147657985299054260572560942240554261124583992953617882461683612564448060530749919720444674812518144859648314927178066964744770065904917521890660310049438979421332443322712050736446914261386270951946611202165824230197430126716271695990646298106249835364526350145253315186462393075935596115762221478264717038854546185663662140218019316194812831351817646143403968073792449821191732902691808580867888595464149225613352827897829508724458386505288740040208581195132424410520432460195889882266373441204655626602652267285936048352011864759294442947863858617245811622920317171441803910769754187209160818746598863482033095849511408978391289530464332097982663105108635563438818060186018070781976494390738826636022244644381018995846382397734834872174728187706791028961328125063271632080334490387843900750695213680000292865361192872809614189109536626127622014869758213592035168124318773360124544568107054235017808108356412242334060798357593712757209299926122897002439807468346552242118052826018331577807729966448095091636791515567294268818005668680415601691457591969682924635003347980731072996195793805640013771151628018348582205134789170803178306105815303157463746249096608290046358204922760256671923866264180540056218679576949189922840955539255080802134752065195970307402015924142224925360861434118775426085079319599793900060958505317515271234289732057538856968873086693388323352101827006569917137659793765738814593182774254908733812947916064753939400847780051104222323082533316126955104396650515883394327529916821351004083597827353476589775142212480322434456333338826839031177443263618507610958049713226383270064539027097577009693592668972793637967855220572578896169836381080668621533890495258860965618546385086500761938347494398142117815847369232966854395416436408763842451590851082302782369775478211367361230936709812807678317425352345653229142009030069212584407667459184713058339733365541404291928940874750427070894368076508120516461475073994660591563159463477462539297974038078040038675869401746894285304219283742158661883552069795401792111560311
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,053-digit prime (315 intermediate primes).

Certified number3,053-digit prime
Certificatedownload
Certificate chainshow step 51 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123004834 --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":1100000009123004834},"decimal":true,"detail":2}}'