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 #1100000009053653593 2,193 digits created 2026-08-07

Value

946332252729694035760648816547147985228290664372008336369293369455136609910710944378814371662416557434719430091009757937076623520909594437054568886316664515185716940327912591024822267241111286807048940085797346515712333699887498853978715621382955811451408456589169112224597902309496195858797536735928912504404523792272665110842927535035557268169283922794181024473388239443585453465948560263828538431561667790136377364613765904543705829663096430467074597249622901253886592066204461846617735026829887760539153472719347186718119045426769605676228560365247272381960727034262163295580598046224538636679196720251699343752649886758400527712664368013078485918102471655471190860311322788985084998611456853911281938830018173105494596520389698584649951672276960830082788088274552938569487303532831535404581738272729860524949914395369274976912752471111497969836205186535126212865096473968896077113880232467288296240382694025667000040963130882122347882046867104567604207735569923379158589851357047481005282546830809884194800511753212164480988318998908982026775410194315609050049814692032127029903764885469558349029344687188621202675266236194573187832369693163786839388593447552517125103041202426956141895478820881844338845395684081218265717501172202590400363791667928769409106309070962441584428161803984480122783742946350374761809861759555612467642335990693287024844319784865741710946905060472954624001889784074604415398704534051183819272474066376657595668973962342435033344544507714868111895825666978785077971923929366041991915365844420606560620621048171259885280501923109356639731480934130263665652861570817710201325997716037730596912425867785350604360997484037112314776151100956404277404265086225373354752062899094817710988081904477014389080730605602390199767544510377732540372103544327467050745318634773211177473050188672613336528404166768921983447541592970873802016812859849305494644842605189003888448458214994134539982407631023793039515971750659339447379532799838200855916246054253410485718833880976526286674685387387738255797421068698118004277210445152704840738044504023303810190390382226859303730094579225059506000675586007033419545611357015107786887549265578095976142412204342829925578796106800937
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 2 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053653593 --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":1100000009053653593},"decimal":true,"detail":2}}'