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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 #1100000009080540311 2,812 digits created 2026-08-13

Value

1318921533075669633186333929666803995993678900930304108914184336990283140078360134983819125371875575955364716900266590914777185485374335634423655719189250111879844617667073554137902023060971838623301653154308028728853135819142241050217244993739578249288738384676476225712761390960586528792555109459842568222112488060273568778082888495897901111501363394562748422956271375609839234254770059659414292242653398816912324166765592392570866039427407610965160084553087356747025154164128556983401924137201960130690633270389670009675507402035383112679777707490437951420023330403689497260895519936223508311851030720490067702285417782166217594553574918013766994193726553135096476878115267009042089921275570115628466226983768765425833674936986968326767645750962824932946342526650332036890358537971639131582637777239412893213582746663086199940824251313353355423648505914825946728010998798321003810827943868423755832710779693014874786173528594989750086650832447693019569236728973934321484360998013654799794116982686611982842975252388506213913927586865689206934334983681931697576993402670888637810938919809344507946726427042485318269271805227303465868527439617445508190239970854554805509175309776697628276994662156224897689242742163648229002424158749493352926225580836159464395579477201608771544129044248515018248528414983042179278689218317925645316754148946113298022353379097501050612916214732584074356300680891442794360868098622225465366151495422687510636491872742744334946180314370446272293378442168101917378328685979896301067434493492480681072343698383238314332198390525206084516373853054894938697475227213803718167378399109859809012130132560888587741810881027575535012851123554990093220835640604646681092498606634069229358178054741625564286683452292028078271415824460790047061051753003940123360085641253762519484288923222756901879347297175313099458592071787130097153728083497426364737447179728292687738918961141265297488299681104031083695886683582109911383339768412094830872737862686572548221977919118083290942305810188199834807014134109203342209223925547150743423728248274719809219532173692616213219058201074456383164536723372099614880719243577873443747249779291116519954327103533465927998098030688325514436099615029354494129693205287321961479084516088215616657670483312380804974663437272838732145037548408125580317556983887003257351432694058304158032227899033147140122989395099940514690229131560154374886434448715289775943453232332037128082990530626451898031887068553567347909450418429742004207438500628728669803012345485618631204071502591644773486058704652739203231579354378975760484962073033800444947687798245639125351982127227428245590848849638726949414407822360235463615874744840882100259888560873350287287194983783932472890178550629739522434216063808770098139629723217239158359934839948957759549055004310309488219823
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,967-digit prime (224 intermediate primes).

Certified number2,967-digit prime
Certificatedownload
Certificate chainshow step 13 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080540311 --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":1100000009080540311},"decimal":true,"detail":2}}'