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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 #1100000009067820682 2,290 digits created 2026-08-10

Value

1699457194605818995504536974062215916111641625323816421349181172150000966109936145570011151614597671680299772078684917534285065393784742878979099095407101958363318554322294785987307037222529251645427141273011386954565676299888395257028332013293388684488091724011848119421820653699385910124092733122192672227081612527817167751260169408518339488181923227568278591867311545535178056123245660159064254748392982284487667343404797138921194986359105966911502026806160228991023216495799142319707177832611580355202441482098286444465503930062417936043351013147470307687720261211858086868905534240692810795971599225954719660349126608103847553388568765389357613498561376385540893781881083535531870039258602232319992197367374897424875046974833533979771247104880687991916110561503829973479192433486859476112589594018176248785656452748826158188297536430027039552286685417612382251687551571144959210862407140854417962482187783808821233527100065553508183386484073776997534636862721170620587083801855870958008343437699372567923599764804892208853683783862851067637670473445294032221216959805438138119084026174286992707344907220116370114764562783267724180643953221160504427499775685150793054538199755045750834908061008751545300722869031192945651384730507899260608210814552742397874189994826629251280379009217280594359270218972445587428981957270036182493697949734996656493199280382158229375548267511393735642052822438680447081409843768428588451961068248481630415431046610772613257828903088606715851606014510981444662467706998626836636912141196954570430986944786093674582708045190797437506625866459762218692857385515249768044757575317915252831562486178193218191245397967930231826427670189499998125366759540718026154346616281376991457554655213377888694584283423494464148544462668299810959729944586850510496667199315074736384551731939664527300633304677810485155517973668346822357699726449089000536695762814982325636480343483206244569710484200225825256067239662219544652720981169275428534213470036664877506059144029142568225625670989888826365322913998351720195555117582163341108416216113134689667778865149185908337354376307621532901661902484694455980110531859111737084584259273271054618988922615649315870786116796744325038309181402237139499299371070499959087137183851067606997944429857840617832044226360530926744213
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,491-digit prime (185 intermediate primes).

Certified number2,491-digit prime
Certificatedownload
Certificate chainshow step 18 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067820682 --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":1100000009067820682},"decimal":true,"detail":2}}'