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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 #1100000009069116004 1,663 digits created 2026-08-10

Value

4214981181406444852479806858549404964122814289567488627134987738128379194854645035437902570788844062960664979573247698507335874165539685525031190102168561999464020189331005167828922350435683650539808621566713987787202854653332753150269317842017891884959091008880504097454171902959852961257198790111565700103444319480082971457335647397398875198711430845454258538099293239544102168623963152096954666057481846827454503230263193046160962461436184531819374173587684475090328147346632006044886518614850002550589678318738799340894158802285926115176270225687989522944165445154671311936980036840301207488533596757063693571640975555217095619310224881649805209288411942579228623359111994262590630047494619426626790916937960957633072884846375105556543123815305206525322351260976573444634279205110465576705533590171083765359045913518462021733039627127177896810422324114668917425596907831502228293447460731847929130040739183998718855273931806511511230573911840005957826149868457339751354867505616684877608859745116450384319149845714141196906180561477181200747165851688731991145023564211971260326055883028662609381814549363030592280406050399759741203182252644470235303595023714827356502792683389481045113557569089828391745720531304421837735289448824135637661767625186178929803555810169225383247680580953614787003364948934078860326448404028249206211876219397226333712038430497424584671337107452291548127752443582245267273151200919773949521852993223019852323960531449793373186303299120510235520170890605977923757713714407220024903444804465908198973686628976507296480430682233264126285613871455117059159855311405105364902049680999409213879273035577896284776372586422406570840678613
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,001-digit prime (152 intermediate primes).

Certified number2,001-digit prime
Certificatedownload
Certificate chainshow step 28 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009069116004 --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":1100000009069116004},"decimal":true,"detail":2}}'