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 #1100000009122012899 2,342 digits created 2026-08-30

Value

10520892605308768106951935258946101986922374934067400966649264484716478904393260293671212607877222063781087071441560761644981009634125887585005636593799601893336957135368209062332407613523655847670116393689905526351459529356370064643833657530517873856114938201788443914511485847138881006082321967658057468701232033575246222673860456154181308516180454951894723808348092316799362221694259668803316365810875808176105839094966365307142579752405106337167678061400298159846485406909073906033014390235477864168597505074861771022400020283595364617872153250816892030291912635052117784921538342685144847498408260826403340643561659422862918487498396053791150935965501136573692102370343826327413432818673988765483102213416008319178130701227451556459974086047506522614652683029567879300141667207192548675296787148606425194644317353307776949286059555239463087035472645794268320182285593609643027285806195927866329319371304073052523577077481302567952689809072365170207652678762518197872067024795064883719724493518466735173804185975231131605156654229901177011553992258683840469874790006980405593066815030229985772482893909010799983300417426002304445412569121498316786672940860500234115538302594142919519398232635207632762065282163910377181732985813227550955297795862524365571416273699098512476460284742515798979201518559265526676468542830133162114974858439068386635499559086012074283117958331738141464565876478477621137344788612984649499106065359972127796959842306292239114446073565409916484075299622785280072324340142089878443353087153008598860869972368838619937634097247453444499328839227577393813511888263776362416648117289250367100663164028098072596856040196622357096702304672070868217303625421617189320342840313087785900549471958244701008237126230608525458811193294599132427800473677642129830524532439604360310381451712506148123438004486266867393293709074993797644967064629160845930131607412221589149686612241834776850620403839178210758888305378166694270721889685143182092670931493841321527657146936690162448100868056205958304755170532720197054386374036254438244403884444133941903157142248369786675004980633170814301866743021123442429329985191290682191998269086442301241210080198747641458958875637322903134104168842786317242584888779254859797804888994198093858613529125708788348127288802421244865579646634291846574343361822358069031773728589989870250033
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 67 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012899 --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":1100000009122012899},"decimal":true,"detail":2}}'