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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 #1100000009057652321 1,830 digits created 2026-08-08

Value

406021308213991794885381200883038613721372193057269871389589993492725491619961905707968045463840748675620254537647524339460073689572588702679143897941127745832980378367390394533362061009259865016160382620052922280579316885827965227758340543115597414050421306391682003611224472557864360085567509661819246096940019542675208786023990490646618540907938563966598956641193748402700659399734748996917708170515720943447723164796932366345660055447244397320811523928950847160588816196012878100867252373724132085168183814451186191010095107784452416901233848241400174052024006875898617058034583636955479465918761459298795577987842681073383073653511084992408378176292925835817190012943741019182232258930734092094941090581205190459809491667061923521057842478345418908846047276052714932305132216604841056758272302883330068659210961199215934705810104203070819420451198282365591177945184136918693540938903068900304027100435883081767099737141435573975112375243801954584730411320438378437745339486434837393291736996590603059037419028978696893257725025273200892184241142444243460552005374365371390500831014366896282201962711132050184835342304007125366924737805759176766262967092271647273548806531107432629307801442744410647104883225868425877838613289877359343174002297207377624393375731765916546272437221350676215365618271981719738289140524299733996142752991223270926366931047980511831732387424613496330517074161921225721849497632654813057690431932336362656492885409582014495781675698268124616729272221623030877309580773912350627305454349244084186803181282785144950196505483093000116345559458576194399520998453238757976188955320194537262359141616441605501007181529938999531021923690569979165005831287046734501144644757523113490390545165583593495860700118937211352488080095075955519084514603036713584208967351144298304135401555426476300834639109972747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,600-digit prime (204 intermediate primes).

Certified number2,600-digit prime
Certificatedownload
Certificate chainshow step 61 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057652321 --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":1100000009057652321},"decimal":true,"detail":2}}'