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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 #1100000009053828030 2,304 digits created 2026-08-07

Value

381336666268192483514109522469063120420655575521635649745812927181186324082315623421187802080418030210509353967898306602474007722830056904941029927789966983074187019776261232853334018031848317431185022452866286911162137814106812119547688962090198259721557145850023925917104120232748442553041332180698498190067089675551617458979347036575454088262266251158399248124550524827261225010807666122316551189444268985460711572107102425898324307306905064158575293822336653840539126358759686588147754346492357025262091002462669280488080254633941120217319878335232526962890938512323743865962159855564851368673205562649838375550569162261771880122978719215186150069202835582926801656481715599003171918124618185989544818641153275428402933436116772828074903984897653444757136177161821090735517003197762839283044057128943146335107934946225191805456268664506850040775841380445337940522036704223134769338836697612909333237204207805067856302175885388308717122960284643003502805281263043060862538970956367135467057615148848504209839521552629467524170180342358705094114454543586856564147339356822990799128453363088577172221644832790918093830922762136070043093261044500883653678804374513408209235403882214327844597947486473072434989750161985577118736831037471430326161611414763258283765849356127580963629578441063869995050801123408787199401529633143837530256832340816960151839289310030532349985453589140667267286110145978881537746887432666549790240533579616186739010716561868002905348983342022464907572005113573679245797352419797996416018003594973023201640138215053249834593656196787344384792714536147730454767603826805189550132570657549615582508009604267103436403827920050802056025651943903795538988135760947719333893716103657424846614341182735198076906327861686753284984127960041832953066178711492675102380414382125422530368344391410162469146954817691100878507824025176730066909726503513811393301490026785653057258140388416668851432256007968762752936809946498257966982675643384963985316137126792913069554319125978433906426923576360415305444220417090283743966282230799756080446326260535610941194641380784918475588851821572542972623616718491309604401393778737122940435425811516327482595396508600920404830935564665093253624578337967907239721141275393857504215203662676409062658798441293490313586321988123611739524616049349399217
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 26 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828030 --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":1100000009053828030},"decimal":true,"detail":2}}'