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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 #1100000004912872733 1,645 digits created 2023-10-25

Value

3944001137665333604951960383374372951997615202020968373727322093401148549303859841553208158717019777551951789756639265305595395130043834277293593542868674141835906093387055698693281444216547051211899646281552411401784461272238262429309824058877989650940036620894534440126086587747094109596377534524368201120765067158039244124985204703252357395594192285797716946213727678507460979116918927701042710447956374797294814108200062804221137838780820422265939777780811707462241126304072055179821834882322555651329732756168066865544172922340295528677978850425779619644187318766879598624348791566605492097168928233017263864732313315599986424957564561132431767654560587930168985848343990848874010354092313634337577529544079162447016892637386770418001915005934743400541028997288108745678407921736826758112499462747848389553219324526166795229137197168150930412081270335780508909555725817474529823614535381023223408546016097888849014080677179234232559225735030170754441785526039925498658443439503822836471308051696131407226219012211574951127732541432483173613118796772682703938849332887552909836192601160640117285687921331745469648572159162090908817640654022228463408876046410562108186457832328948444619480012955999687493431309281447374785893332369242281300283339249263037460326966203792640037972370626379161742747476931557383358758750108378704974569885136425480623986706631407872436497315844435668270143698229223516596616074581905344577802120148682304447471735490859560954356574938041445810723291013772918306251761052536857093313431020547578379506040990971858805549634976870110916135487851115480275097840354256272840051212439659000914161278991413307103569637
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 43 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912872733 --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":1100000004912872733},"decimal":true,"detail":2}}'