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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 #1100000008823081606 2,300 digits created 2026-05-23

Value

12216508327606452126174676690079038703285986655546022683074664887050473270329278666763292478602432842184454379737902318329530363635394669117884846495013415434503469319105529852779112704200720076050442060407550400448481859829155275374031322460010033838763743226924930023926929836416472257560036683588498035954739605353631977447459798214779291610831626329650186482927003500983051150042140748137008457399438196214400466904928587838445038205979526018793336877479949705778780076374431350043938502717030415224207072761129934835184543648304103366199161092880432447460192510469889591932067830882326489388944872564513255428459558149703198009759085387200485527331721260567163001682597570392896487672529147099513614598708598331353678102311711827407505302274426114886565492947236027265325535140460443947702744871468269598171018002124315141628342603552653617964767570708438405787972131695412322016354959123639629091362865844185748052359835867497573741219045691659410064671716854680586592533196028918140258405087574670282318155684475915369670088205117635462419214786591115041147009144859445222712843745828112390151426260179138639386361837207584064819635230795817076436112294476934027168516504981926227473664939519828694396353168476860458078609112558128616808600054431181902891034502316612651917946848222172487959581508927147028971809026122560781498924363891572618812736866833607834088140201709724622528024185062977759665607709307482218863343931415359841994248506050803187070694577503858895146476394336123597278975637380559539280811912950179062400155117581334159572381877647780194375995056894800373317195652154333107658528273839562185440495493187072156535989949874040571221041101166331421562799224022495911469572210131752269417000744199887209760807864614979903317712356561808182715937936795636448792016721826180418827618528728523042598322373246105774846034396864719176969036472498118711954913584058956617763086787003170261462659008286993841710840603928321156143909074346995765354414473758090321399237067418924729083314596436920034911024690644803612854978015009162701750108894480699841754589841131091017716008525353393875706831788274102873940778569203880202223305988813204385572779086275284722742687496164185942383900579487000878527360568061006212894163144987626571336334392761310749171989093319284325961603912898779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 57 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081606 --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":1100000008823081606},"decimal":true,"detail":2}}'