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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 #1100000009069978337 1,606 digits created 2026-08-10

Value

8446990506705126864328049467540614704766150063382481408433830931214280532792868709017673638341441437112939097546856642056379394671715902074312997605675161251614281067680711199200739828725113815699085620729080142204447701543933143031309642707318909844062251275560460122867393796720875736362141682360165236238728839372561718976687072616089742417124152639407867188082092071351676354425722943703435766803213748612545539771221309856163367849752014363802403918530779914224076722456860707970180696321172609297484570522370859503872876725055415996728023201298145287231343517098986519600415036037456001475763277679740770220977268701434891026642147892263869563193274144166635092894507064066831640616773610347565955417335480427606110292755472642004807102252343116892754074932681281979648960564181075608667692634580842154998923252142382465858221961321380317063864793979877741137777087204050698991230062159375912665413216187534700794577547041866612814869556561803246326789820848957201800224771764898040887195011017598606358544761540627909511532602499969739662795784886943589305871991905902368790037392341347047324642124599022645627078161302238065612313498381585829704642561866347131408301026407509599232063145567148374424011143179738699515337568056642668249536583538031002023004695892171005889571073196741920561004592125216748161570370392834952365677070996955496795943458197807877526154672202098784545872417623078704221691051839437780841100224940351915524465147846233384960806727698143747184659771368671371801573946594994447284039205498942117179636833424339128575195188954894026904909919968361475302070477129091177727991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,002-digit prime (160 intermediate primes).

Certified number2,002-digit prime
Certificatedownload
Certificate chainshow step 35 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069978337 --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":1100000009069978337},"decimal":true,"detail":2}}'