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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 #1100000009061970993 2,042 digits created 2026-08-09

Value

89302829353494076702374713157377041040162432506449697540148973468417148730766230191599795219797464173084423715980933118589090133933080291028393511448391881801469649580051424772267777948230335033744416393729132224617030691085647683407806689040222324495481975345478635541812893514053887620317457731580407884108502560056779868744106498121029444479992817088150338064592095629013111091188174559877067810390615608666790561894995482007395934455988725635852262258940540439998215556961976584880940001206847689891762370246922815205251029387688809073791406154773528134685789951239328240681825289737839780568719334920890302938678768982451792239623665609044487814582970075943184318761805539805762326807246049802834244145389450682139222515781164743895999946208318592431234256175443315603005039650887468590600974523471236684465788050982226954724379047266685391078539486541869634632973433766896791356037925998678883665591355177931514046371279257435270139019382930355632697278562066218023769747591950404649313848710441975400726976340365936310529200027749928210920004426267290308480367498174009291172778211957837149588761855265955027514289712698914196985378957642851565645147401902722862085866203224473756324944783287714732765293892030171386175893974264400472537930956343849500369387835174495106472639001898593545116524981212730938019157357725538579244728490286764391930730007313974772539248093448533637662683250008479151654601906597141826914764303567539349612119081291337001202281830833812046759586084616554462153391786380535540622939543778541657530824755400872862992852125852159643129638535270749926103446795178875060196775634699710691725751016478493585807297366347433736420670416461165977332596450954668274314023118806101062154399172316596388960928123600777519244244247158344432512661510677076447526232859331963972329916993570683088107157256921535339227759801379777586486127198688045606793291147374648031174976898248685595919270695840743523765135415299660668238553917786861718354811552711340782128718417743063662510112479061045771570982088240607143596705131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,563-digit prime (200 intermediate primes).

Certified number2,563-digit prime
Certificatedownload
Certificate chainshow step 45 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061970993 --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":1100000009061970993},"decimal":true,"detail":2}}'