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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 #1100000009084386664 1,851 digits created 2026-08-15

Value

489907743300418420720024353112751001629336108665170387459165623744546616830995194038579894390602904861086559503706143809433372831213938119555727169073520885055456389627122477649627846707896523773766105755169032690582986738749545163166864934877556486509416166712070465188846170540266919839196368686378902428558425602640545682603438718671014708996721023227790987401799271041265190199909241914248473476915994521227849103406369247095976142413106620405021563502518482679213421332693471799697025224073426363426297640216196136219885878147221876148273954461274632635507944463070565569106552068974114484405672140051072499389909766872145091806981392757971467882355390679145765971519115081097862773691708173863839386426784246811145061910932631136669199418552981638151458883808024526081898160250783072643230250021713735792817685686717100538164370565786426243916044353043128182976299201451174112442616659852902610248413981135828612049932778754893975414219309098148704980426903490960571316893161204301668687534191608969379100748331280464626137794597758446188927994439585484353659685303094932010155368542094563723545460883929878352065152044280651123499265610313217454411254142902320375900820738479039299702622402658787631548232968658849766541643063247931879581523263394532831427263029007909006397276270453184666507010419892870375693874907592936874824138421113714758441153638489609552028722185773648876328829991533665555986176201247019632432961395661819230582145981853904268154184761618327083944668977258024353035267272123898303213546523230784362715519695963647928758929629511099944321750997195252936021025307299928228996872269460485024769094977019381744163488314610920443349029982677848343482763642688851705926921673203509065871355850291036624328201035789290908721290094419833520858638048347414091242831329344408781254224445858948702180095980839081798840037875135919
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 1,956-digit prime (156 intermediate primes).

Certified number1,956-digit prime
Certificatedownload
Certificate chainshow step 12 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084386664 --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":1100000009084386664},"decimal":true,"detail":2}}'