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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 #1100000009079331195 998 digits created 2026-08-12

Value

21410978014026749361578155232248236270971842082604584358632319024656528029846196190611984531118456417298593044188524524916375227235963714914316735373002564539195428906095926397226860656637518830082753700915044136960137213340970393158221961138164981502816049114919226866674150633844412284169590746635499874769416469008368091570419573369092233346497909950319182163457991848634553097829165573035978693472891744306919909234896749091434705714239186550169566552336602233170114292977957917315442070356383530772196780087386515146132955122956033342587222011046791706524763180829211530694802709262230578364890533589252235477165402045592428985542786624929940374450478788763970692972528476715339881313276310041151177892956095906643280594858408600084005594574921808093489854001977904998156092718342227249397207851782570250490411327463445117638209599772694827347668510751392140747069301216145146360121681794105514160875518658169108835199796109330981253520528936137682927241064600856940350816631920796884052604371
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 2,046-digit prime (157 intermediate primes).

Certified number2,046-digit prime
Certificatedownload
Certificate chainshow step 82 of 157

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079331195 --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":1100000009079331195},"decimal":true,"detail":2}}'