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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 #1100000009123068448 2,253 digits created 2026-08-30

Value

307974958231456339811144702373401172871714568852141068363816382887396829648880864201626737997548970398734296258923007211737620923860298040635602774626839204391943771846395858963195870122240135207860881222243366590138454198917947898104537048959007104390347502786759206297364407519648305167581429519295745920055678016246313230677961837635767433281067726340170605148158860258920132228206211535611869224992943408342005627802805314714082563936386345545779277105729874614011844033117752079309199060594363708771809333586717718751656719444307520710661047655609734341706932187498346575766650034842473166261679268202141880912169613044744526290089948339149926251914184851551295457746786130341469515028877993175833229879047406431134574154768388472750680956348890499954442475366546961053009371513298733075349765899784599150048254446986867355846371154566075701336414515468705749921671212357349740880562881700292755419545105937360564940416774586773550605232588145974191482206982995544300695863774005971497045140613849567011285694114878086044189084931684194355842087000395149563253965551583618405274825415421143502144141671368581972649778179151807315328243988862197875040955224052282994522409857886817602048851708455871699485492242612706474641833152560058593739313143489012621808778219411074848579593073862366629855057005097759896273868854304255970089561926378281571242646459663115834234095285245503212348915737101876794577954806148070909964902409998216784833388990284783137241564005410483054586250137284965732757792350196657132307723430803543433148058050982475146761164064880434614896855398656742463002381695440314728677019553251477908163990719955741435110601253500946617721281683065686885718398011579843481314703128653931231872544265223568658938091278725302567124034646833544198600964742949787993350340229182915995418892111641036011754186096358350021130065792599925146277719618169266934995825694320354267818971187044869753694130562460431687495673539219778721068183265554622466512847596654931688372152244306509656845064224214771974098215822974858749602372384777904916151615985141176771130759040162206801836885943443303335427547574162376591932148538333084235025938021963076439575391635391024555546114564315898749803637564376711107929224233765515244207892426515608038779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 84 of the certificate chain of a 3,057-digit prime (308 intermediate primes).

Certified number3,057-digit prime
Certificatedownload
Certificate chainshow step 84 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123068448 --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":1100000009123068448},"decimal":true,"detail":2}}'