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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 #1100000009130219521 2,239 digits created 2026-09-02

Value

1913333479919913681290861115080661236122905088547157966932832740430444374201692070535539341059900886620296141236507670929463102299102539725515346457763301064892583204214820921745621577503121161377583750699032243451500656937679685706263215853149322378673972300631923696464921658875336100384860140427956786316110907671732796470054081830911099716074631105373944091442588329898117488788180940705792163066423991155873889125017308713228268361442052704731183241973533358807034780240224798108337990465114429307835352022608062799557993654087849689335304155200467373675509174158630191975496584582333450811200645342600897318299053197911651819186820103397759260963240590720550458255755643792938881889728369176767761469565213182817788211072425373355824004590526086918160344700002820619332623707338180304788195361027071767504376743333161179268474420000775698892801022775498603089402477156925019513009027148321034187064838885990623811224141951074974840023728063824421237690520132993756494031433097776635627730019152253316928157427010629093256984360544756781097221644655657520644318557614597116445899567150727912142904523338072695681246061030154646705387380240862657653256878378907644185922414510772203979826927132230654401079865375592504660372928198550624725715357768399095670265913024418182123107075342715406277656296360719055398921613942476284501593702616023391016290049182176657439075495565736174698532744240281969752777270082758580341016479480946297604753799759089009887083037279621975324659595954422029066192402543941953517253109979695857438919790560164779706077891163796077247852592617956244544677627497016503141154443709086432191834179769032992988046333433924021214515494177002506390366076335489676920188678413557639201958795867400471435894714331311968746295461482728091890454250106375311291125182256556257023814082047849708516951905105073694915188919135342394735449322431174325272646805581206931375308280635802084762722658801844095442766430008832167446663757873194660631770546749955717227908590486080394190035000492958122410737159070299147582115145427380110364614849744910980920644966341148231386648955087230110450394136652357041585441371605691684367183230429219712683454300897792612797934421512814254313177142597970940682469213900675374858068827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 3,156-digit prime (316 intermediate primes).

Certified number3,156-digit prime
Certificatedownload
Certificate chainshow step 86 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130219521 --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":1100000009130219521},"decimal":true,"detail":2}}'