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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 #1100000009079970072 2,019 digits created 2026-08-12

Value

331265087976308041551266168831554648242055416737129114697325845919053815983595037889381858014524361257313179972093650861561275530747053695810959888833851782801457071748445787602132881908505463530900407041995890975464778382582082407183482667777694760899277196286665093118481762529086845679834890308339679510595090986297457298980838154605635313379271293810006314818208050133141549082955942128478999616955616532067069401332742374774183325526250979200768456557853080018497013194901848556051725304273894378759783413159677205714696672351230190306803495369077213970193901400898697494550142728560471381584644931024889260941055482443677211402739756285988709964608832838190170247114799764276130524053889634681740624645305778547466761035945725349010519427539252338252179378930889734756475198366961026227041054196079687096265080856924367711050755596440624895085392145748949656528702950515708640161881105299481213330185987385717532500806430020216492108127742596994528195638813645487426663654551099498046273021551549634369600640005844257115904769668315688670317310581318594391196525011306263097718740235409533629916633748138189659991449494714282371626901170895518957416549688274125254152983533941170193454888616066741142866568351778606090927470416229554211264962339146504393221623434850736445722531761313811928186763808100214384986287233422854530977211580006132933475151594591540617646163215204803846654182311897873761667078134484158362810462228121505876725831957317436948095478241781820841739613453153740576873819846541415986625178590828526540397263746954264873057062198304832574508946224184655536157733017524378289822173487927727968143845102116498309803074228236219911063186307483277511675356934098328661785442794453584534758384979596407403938837494947973454529825498242284575118828306962478692882404933254510230920463923048529516153327332133344814752237489505590843861619264436903952137838589685732893477219164615411279216215775871061837065207932461408787643938713441337791580151220001675834692908634219981169258346848493456243273
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,167-digit prime (155 intermediate primes).

Certified number2,167-digit prime
Certificatedownload
Certificate chainshow step 15 of 155

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079970072 --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":1100000009079970072},"decimal":true,"detail":2}}'