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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 #1100000009122831730 2,275 digits created 2026-08-30

Value

2128484424645824138152927873330617437414029339832478850996435596179551719087374504996238309373843641824318039263212052563855341614708315520631355113302503990635871475672861421668359541418602695384957554242498989049125622817691403738839110147875377418855027210760582492097635195486516427437929843936412882618387805593470066950877549937989096999799232724407462422584905842746018190474993831309536221193579487238483918079389129299203789443995298613316843630375942862609092388448033193278040859337307754176474496591190823792264347781245830319291299387959632827035859740375477751348174800445904035581944629855974713047288987845680558567497766373608178306263131865456932329129462727461156258523337644131196096753555522100188257247188547847298076156551542219523461429590505170335708339836760099748098092259565029313112882975172225436677590589381566995088995026116675439908243596844550972352906135995895548098094202759741510594675260717015785862713426652975908041529458337558556083272822081986191580813726228750392040684198634778691738195895719351955216981495080973825417740187413821016753318470694196918275595915328158735027002916490934962456350700045232151810015924864070982470504343627918444840281778127661202520264841814563920438013399918974868204377973574148202188248849509094207690245502824303630677316624610331830716220117557181765692976586694657521601421532256256861319356765994033715709606103183531176024416718048553922611207717837602674440692880367866131831423601012672302653306030218871344754540383063456119076761479162157438467148598160351214594424656229705606695649113064022023975142086848485374888159526347940818495656688360420684285327858248961664983531107877276694800475809314221601955459059758569419437360818205576237766025066012205403105697647585989081732172192622043018191609147982781063706539242577220545334038144060349604624398787452355091846411814485630066887503941991684611235344377192425061060005283311917106017780821917804679698499200064939757779678057925659270121631379802944300085914418220477103678876100356442491684933106464445534400953412045812674819632587807945375508136905684293741910895710392281877305191875960528603807714988967269632106936902171230218833278314975040439885986928634879364636472452167267910005331322771896686933722207111485400757924343
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 3,096-digit prime (316 intermediate primes).

Certified number3,096-digit prime
Certificatedownload
Certificate chainshow step 76 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122831730 --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":1100000009122831730},"decimal":true,"detail":2}}'