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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 #1100000009067366164 1,766 digits created 2026-08-10

Value

39678462228616730373683128305156087040179646953456324775219156483062951840018770254474032301533832420474103618308453309327351421638072068618146648791658240148613053582661182891050446500576721714372594353151530029985934595291707416314360925584446821396718927872397435839854785079014554311418346306510233630435374997934497577095982524019787746672335554977317580389619475789830222975110716634727231088993521364846212228523984810015956876285152994256904049942508324030180338205619845423163325593698907558624682727304595299443288443711469819802478185072141835530577515284511500290369190091627409498344777450844948138805084225489703733951990026131155305608884984803319859795252104072886901593552796080911671217514320992841133283272183414538795391700389266610045519050740757702954520361248776179390173888193777147646683224919935854086001003540053970292365646008452471864505112403462009092596878475394401080250275741616669320049558995350220609738405113489200588564888607631675031255580484663273550956723573480452675352204962308529113545915041971580785452257267199424562077951775771369368518024154341227873752049824193473044917451034912953174715541160018885555815275737965673003287876731141775011577941694590315367805772960676507221493257241820435035321797545941097238363082548687481525618822909836583660129730249648436237491000756744849259024923091110230101960595786150370528442300598402038201077799230293507057316568105885067236222991950402362231665822288759903868299282188909534225936883137091682268347232970666418853478463346301948288944864347405936187297414343420606057201574777181454351521730737130298917675144500645332435025867472386619717508262549832343245153403075701863864379602827013905569930199200199605154602473937286205369423047583479302435641041321436508824527
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 2,925-digit prime (209 intermediate primes).

Certified number2,925-digit prime
Certificatedownload
Certificate chainshow step 82 of 209

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067366164 --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":1100000009067366164},"decimal":true,"detail":2}}'