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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 #1100000009075279010 2,133 digits created 2026-08-11

Value

312016315045268784347067134002993721479558820519517499481390072980445227312800574431489112121269702652007314192026902943248608670405745763157313036536658741913896443708362132427768875067609705517048363493270978841275303767172043725651757699443677394888545886657340344062008406107713873426208816304149018905086774124867278141441005782899992571976255103124971792439585056088087312076117192686304125630351065711876600846902511460496099669891326954489393202391052178671629752381140965174919493534413498049833663494717018583418776735780115155919339252607107235982887233260501606177176606236069860334114188010152789061548233492606580764510246183739109436520246245245201610426471252891964654516348585637976284953617424907901037601639892294220745127990140721302142034098120962061934385959650195391023905428912993021125077091113395988330053061403600431625940307705981853043787062118156299051824036157619537186993317929476956877347851350822657995088618298801155629303611079414237874637532816967463405599906839770618439504966987784987356463789392840756159975217309194223621417015280509759523318233077204280194993341438963482219050490114561828212510120082463550416199353338022889044068854247545938024747873802167441710172534452203375931846731841505589711790989876272638945118703577837336189894729580664800083474358768569462970359031656594643380306296046100083519665672258240336691069729154331459159614929507676957478629778550844739123291632556343980593904256207852692679728545490320460147079454367126633062575967173792703862743782566668364870567847283711908255578524032250500447093579115214750115063914639001047191302658450761494323443686662266956546521082410303218197203431980309922299379217346474508883333143499268590825590912152301440061750373742448707859358962524960815248580643835020183002799127413618830933509127589965063496126302034549472832737348311992388232573804212353677248477977740058426287114411692181156930201696541319392788590297648381201387723768096843536181238282780760039307812467950881127921629562412177833274997188871004414307761406124703033632428064167700065867934986505368153717072796594327764134599418833456900205147578941
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 41 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075279010 --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":1100000009075279010},"decimal":true,"detail":2}}'