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 #1100000008766976891 1,972 digits created 2026-04-21

Value

4170067848874543451768188665662276270692515835941901826246688646880392711918246376064277054958659106247798607768470743868556761452142086390218588352379206031801410054312168028407144811650461604343488610760335079107910531316200481933140470418571804282058353631714096714327515445709781128430079131772999504420513805533300120496939985349510226082364079190765711493238909599292815331995596059353450799896431979801768529155462684981091517214449235267843582866489140632727272134457185493242920646742951334764695461852284689350983944282591983216729463104853250498270407658296271079961557960646917507394465079849015444007790327692679377808004860774500457040106050139344478561807009610948367631873266668989606282800731457405857696572421068925156838898496436662236890610540164842675005879479815122871269651235137868485959700969913950076213846926348143199354462686099619586809191946321415354908049692964870564580868655622374681633399678993599151599438915176107079347154423447055535689486848734071219110836934946098613951016614649375243984305431201698438318961170832949930202188550292941079826864655736757770270851758219796642920507101008945056368264076156304988826885691940435037211765722817518912591266754201257733040114464218389142908262639400028239815284451110559749729767513800386818218735522423411195212526651280497930930987975427815282144289573430391987713925160949771096986880419847010902201610124839086326526717706839581825088141869216132596943450970715478313104132525059273168415180089850007133997875770358232841557244530257822061225130396307757474523061142318072104650287190919125478513129809844500476388748059572581694368143784765221066436294079203628356362661583091193277859097078023053344468017949623576649902090351174367791433762917892937512801033482187363799775121881848935828222075450509107725844640914454455756017726472018896439578018459334564295385721860429683366961779584915347466393819349823020566391682757721253119182298227449796813753611461475736383672709963451
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 3,124-digit prime (188 intermediate primes).

Certified number3,124-digit prime
Certificatedownload
Certificate chainshow step 78 of 188

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008766976891 --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":1100000008766976891},"decimal":true,"detail":2}}'