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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 #1100000009130372938 2,009 digits created 2026-09-02

Value

41350516914734560459275307950412993269590014677875458694796361116793862009763315010720929125053069120059650167821422199161664382457462379361336024460006294518040632809743180101038951295576420538205155569337933114523799169730466115058085880088241847160773242854546975712849660716275527020202399560651606771447211861131012650181063658737743153302719899672749226195890608499964226310771964415063523558628125139300551630850342954653058140200950175235909018903680733153271365715176217662933710760484033695559396517648156402653882399603829003455729281227403044194235523222633276236635637601213171021597868262640091204446921915843787224073272340109889744243333707655405597762912463141985493803235926118783773887505219648968278914173317730452710491254266115745774744488179102368715008917167873211502802991391366680285136123728349735321164215663383879867493103101884468745030455043714327482733083316998632835909631727476696549094013744910053919810888028106309048572361304343917698552553195875191771319637588374081001213221586252774911229631613264971636626590472250921758669891920266572000628077024976594908643424653904065477593365942680989062238695981850132194701768547305161327668845286866272558996461163693592689163518123805442140580846856866721287932562630204566968368435504994399762274235576588386392016711614651742446953095956289075499481691221378538305340022678134847433506183492952964315191208274588894891725999215740051432691106486290286804550491379414390958677351456067618719146401812591843714684826626277078626681245711660224792711994069626889152435918803615071089497756785118436904011635893659910893851436125438268367941090489691927632912263008295991758655301788002867458683338016216683250436958205466662562223451543960496152515753111633759649522923697329600263805127194347690874171172992368440552697267980812250065889691389158824949401190829490405279474929611068051998662123552605937229442641811050276335506678091353922820391619855538089331665857689068145516975078455473923568284763795212167529966226174321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 108 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 108 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372938 --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":1100000009130372938},"decimal":true,"detail":2}}'