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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 #1100000009047416101 1,221 digits created 2026-08-05

Value

347949856528722370445466303573027225511063653275396061826167000290562005649420901235528439680730224596814424866072495394428856299040869752715639848423286093863815480281893630339960360552996492677210769248439318892588342242354484972549628251648666958252416197713251420697595903263535481570987791167479564598042406414418991219265076795619340756972699805775225453800631199547695381214111694112913498952104836069382874220080160844306513119530412279444036324716389153884913649855043367636348822232651913282583151037640493753808421991432783337685267329164616352053893467149588080762422452203078819620431384271679555203435869018354795642931597076536821900700050419120071234106701300660740193744182934123058890436524924195891148120264263218152749330366792218225741362285262070673969326485362760134008372073471245818730897638825202762663514662263214636122785256220556025831294025042898847681733828080944252184362592586260420558103137481182611317510586979501727903547867989264441644846295732460790838268596813378554005807671957118255587155466343539701613978296541326533846354147597624507199715507520223096919221742130628621715793961269701787759117430387427061793765185864208716500788478116415710093027076876234244604327125004206107
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 1,456-digit prime (124 intermediate primes).

Certified number1,456-digit prime
Certificatedownload
Certificate chainshow step 25 of 124

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009047416101 --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":1100000009047416101},"decimal":true,"detail":2}}'