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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 #1100000009053443752 2,120 digits created 2026-08-07

Value

31967308550181468609207805350925752149690938234714797327551845920394789785777456547225225883874854537673786491165806383955262934732110558287649592240735807092969661667185680972054429065344045615222506179165256554260325266387045043795808652177886349632322064409014055269479941566718774764198524282719794481098339411833609035351565192261685932865383593134536461974575678587379259867837603721639581721580330003123378863704914068859572029615164496313683428913547119025457194183873408689788920737523480368055054143072128637272803625712269330334743487396224377325660233000374071350959396996373589086599520932272453826282985845434279036631369933567405065520572472211477316641460738486311433720595268824055095412084296368106732025779091788194862201107145531574668940652881224605055897727734917867399372102911931753789700524446090550000219026334792212064262343856131336107989895579897188842058180989376613128333380484517936684430912758205097372617087110853887410583287957747772270501585223841463272283211143114595011302452920261146560417058978842616934807900664802786896372757654673570298038328454480986734959882589562349693217494779897487568771658842363330515738234316393746425650486456648022902945188878040835558245751558874841427564234476174814479316980894476831113787414245004977135767424604267915227425224579122074837981282963208785794147498362607214020922540276382378138720844158058281337429920399430236632537493699628960834526699703126136391404031094281232968856150418502294040140333946512919163788634904019701190891770237721720199900390403626347906844129323819965338592152036893392149805905116932091216981158448751246719965847634102977231302075596448883322059338334335863278932591695135296411035840029560841545258518851262301556949317799447943176219663118718112734393087753521488219527869393532798586433723442183754451014264902101820309188611781407871993472886344989039703360150853190620134199803086965678085016935470934213523680263934722028877268575600701820846086467606533988098097801349152518557411156606583139435410614400147787903082710616277091060943784989578014652391431052508212189106864735589596331327037603801857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 2,853-digit prime (221 intermediate primes).

Certified number2,853-digit prime
Certificatedownload
Certificate chainshow step 59 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053443752 --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":1100000009053443752},"decimal":true,"detail":2}}'