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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 #1100000009122831740 2,216 digits created 2026-08-30

Value

71111938042234404175030096127079579624023610444906419888915612603816029570870842181410203480006468864318445911201353180068699367557421386241987583191248781644854578477411112658439577733758638163274790347974063637652709387187202858590264408028255276273914744413932113925702060891454671578191915291489830502858696035902582971135684683096773635484809793024602013842363611509900490284817415411276160378079424465775346351765684140123983910213954150881565763869415975806768073112769976202762273341116063159038845006274984891574865026380856731853162909304360524774324930338073854356497778891278795751036666416494154389442415747806882712925869597668980443308319657902494227923717639939927704750750049483783567426841613928973892627968974040327985655481048161533565683881209115161330738584667325668768876228052079979758143035811473557025570119546868826398311963679939194568930293252672052694816962539938445374650114232680756543233452399527678028086952106885522148748584857303481670085986609077886124024380400532746390437245215321103846642865051295546653349555537377804973449931900017254487542421469272271248949784249220135936997190257281292571421079014603823321986216945244099849239967937943823557123475643221323571230991390851296070997434282259313616454574824730591432258149461882633787555997386896046100134072990348277901164054138598136109383860938626460117497096267054117738624021110757257195414712865995109689655768080246945981918376048074309435673946580164912435588677944438318000605972207113865319143799857954292581730063700288767679527641795075766816726225254670581467362427541209126548292492740844531875103688192226909477575470089044916215610304335786881523226033908215619048761075279395106710832104809460117622363029042226262083576109872508741240771524597520700392954413135828865012096150933389776304969767868047286454211942414406814540186404523013828602439459264508743916001913158724763665636399532580511534720582370971435632196664747967442670046322128548422366612005539202741321999083382640462294303009530085464850277719162658123182749911949813375142381324790592856953519279709267553774428942774296262020195870991588839455423785206558007662391129770583544076873862332151138754986763624079126568930705762737367520069
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 3,096-digit prime (316 intermediate primes).

Certified number3,096-digit prime
Certificatedownload
Certificate chainshow step 81 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122831740 --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":1100000009122831740},"decimal":true,"detail":2}}'