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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 #1100000008684836756 1,697 digits created 2026-03-14

Value

56518310134834477695469040608116650850255028253873321487332704896353625186480645672701486617489974986886691997194320002827234074975181503568510566157300934635296673880533862518347595850276522682165270636699931454651812155478003922303629167383658815652728132576728443444138513537323041337029358016704273247015176826171201945108888258933692766649281654882347484723396117791301213012998362253589911311166324052472097807999539409106671531524819516705435001863843793462059864459538940339509958681960303438655896105944059961915943686851747527364762521246427311637368539794690101741914092392044554860369495353505865687017592984912857233588782992052119719971999170733618258581867146746094488552154385587523096633732236836255019914949108494004565353037283972407765842500158806398704371472962989401238885409538071050480367792253790481925619013128318304258844059142403784901710144977091656098686702637106408915422500252631230925154993348335071370768834886049248156319937335806729616051415804498130485216112148670534979629250067007338284831806227608406685707818585706499242147884852504278028021459382329441070578193698870720384146767889991900126697859811265107541397229185884867774908078669219000984976148910982125728563236576130435020124832810685196777041011161828929048386698886005958960342338880931764527435678525717956134333072548334412332050540382192931963689295658449773615177493895127115942053826917222560105726824137463381765434254057364110581633881836120390120131751051702034592213048118241335611243325998922563229905889248936900820720424095763681412357494197903398964623568742574443404756101677531345154199178968596992616131109413523623406481219522130028793156186042683993635347976891804851927425739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 2,885-digit prime (223 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 91 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008684836756 --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":1100000008684836756},"decimal":true,"detail":2}}'