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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 #1100000009033478138 2,338 digits created 2026-08-01

Value

3631942931625359024914652468581900494774899252629988399989816642030462393098377524738606222687154299012246328641676883510054011544229041471593940387248994094648455103263762497988168202813764430846065498117264807824036123332917743556608317677408239218191173195953694561415087969920883867673958775287821123477193225637379411371717430732391347308583360954711026059728718846486605009905970331947125799491639283310454412279502282957859056636569596023440896574860782322874746458241521152227640882327370463254537654006356840457247577852505802691409543590015505565049468238856194571583636598783500056038115815533145891276219135132954933524511836282155588573871581154003562028614374849886933511470024189381194410527912506386206440984912067022217982098604311728047790911574318756752099138548729150645066208206271339206622545819161329390736896902152536805410379845629395204856295813699778606415264002283678279318892432790918937125985109264218737459935830635400748139738514663029050798821511840384094424995073806444460661676229225888143530546039600191576023608850305977439910784537223074439807765991329220453128671587259198934697616676953751851050668605648403928606713019868966521748349439508419492792418170487032802554090479429224652196135316580803493349519363923565780752746150585946940433749254068028417080853059096979217814150631452712907163780259852975880028113676782115114779864932047319029642855575244780186992879553662986237580652896038453595351474605234962153781121242144776386068814431723940185384317879097782987712317853314124792013501287063006114809329393722865516997287261641689509053332995842483358915945892790949978708910381319809602225700624277247094145172802453007810544854149682082153667033387308480153433744242942661750258820484684145340672478416864915626521317875953728409801164975485758496798092148984800043413352658878835004428892099329407446033270052889805739693251968949590799642045964854042977533055010010290897408120673582245563608693813350261471232824539680772425619964051034676680218077479179704945886920357313680929621829876689051433184544686521581528044520494938191870235748610864193405459929533151138625324169279700263368475006995790710538409818805944888449337250014155860505389471241916065777725237045659881861990631171724566888610015486779918239103540434906250910012024504238390588899017430975044230609265156372534019
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,785-digit prime (199 intermediate primes).

Certified number2,785-digit prime
Certificatedownload
Certificate chainshow step 35 of 199

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033478138 --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":1100000009033478138},"decimal":true,"detail":2}}'