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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 #1100000004874492772 2,151 digits created 2023-10-25

Value

165272657810800219429330542764167503813567839654771078163622098380665867960782524966685948776684330758789703213180676540789522207793053191887579035788850351748778559058831188287284150834874790365284395443414860151590581668584443251837533287480918420862584815507472721865095439167972522520632206870779439070322109471051023145164695282636859928367879866378112670419681955180859933031017670970113450737770825064517947263198633992609378394125266816300384131951849235408437040192605476495939627674044000359082176136652033682865379505892382312784536875725594363939307536240193728861587275302656222364781791400859961740114475768811697485706440477963773212672624400359882543942768857614578629378915295149025194750507178393508986140099194908608545258870496286975626370034423351116572558150675950632900475943702098268239345057409500062582519802642542505226872759332345455860135723372387571390763489315083073233270947503976358781757746864742314607131387766278913121432678899335158169404038925921125490049038795924300286391619797322371014011132436768888897512478356588066635171431897763643115669220199502519100855155728834030541818381407291029703045511635577875003079091827191436000995485711615935200174219070954317595469516633333295621010596024698397599566885456164244092587630062349284766261787503361269004565957078726934356901812107008232154801778591053822669809655539582878753817150458487339199945782513510056413434272073894210650044266972768555329019169630313504958326047385119753635112495575940433703550167703293159652689775484689625984211858258926256718268803685380230038554321183642568632375365440898542915986492963651946805800671058697598112870396179432306098695720661821895303366378857026909441639158546737442318304212996492200926238256399915205141908457662009998960172436912606442533219266901973111019701071426011109408037295764727228722679635143562848804389464001223752092601989998323484643323453209696716587580457692769112220081635857339571327190176984338696097265772934211651619215958361263530526284995016578267280408314869612750060529817897185494583508329821697232250667944118029928129404083247216689019154219102135571512078494855724956444668950303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,524-digit prime (277 intermediate primes).

Certified number2,524-digit prime
Certificatedownload
Certificate chainshow step 38 of 277

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004874492772 --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":1100000004874492772},"decimal":true,"detail":2}}'