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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 #1100000009123228084 2,764 digits created 2026-08-30

Value

9835458363206575326240468304321386528928959560202923911762127612182825400964365248329304141788454366457224904172258920860565721746342067277035095796997879302181135562709532022031885259322582567054596300030357576439177437721405445072201111390917831339148797512292013271780737320021152454742217200032050945788805889440082561635006723924964588997654531191924674079574414445569305380879717943514295828987386161153538195965744212601261922222819363523400510701533574684309718747458856551511061002430572733817822099839185815742852531703220543157883322642858276048668685951093244503164722699631653414602202509703939264589885944433083290405506952786263785077068268833980668147074247713178180313147699349088189876082538772700516154161161072767043867270506371632861895005613386439529864550723235801486866844847496331433522536263756589417258331973725026729503071962608425492936308247021333370237842998560558374750950483026148953101377464375148135527578329445511962115765455053156896193745739317339217560853266718202309305542091641431473005059385305863123092098658483569462402250349977206732320361032713055504872475570744189880437750409369213773458994547949211494582478471798883377089655187370592338140636007010233079781094365901242024254861932933505846259487408580934666685776303327000534007509239835825338248051157983141201562844320077871917513341734482750646635916041408182638076645217274208895425910019275395406681427763358288409291522675199750584067738036634052567523541754535142893748110154800232084592133058584787635574969911071523550464774683474580511610657497686883530055849348221794002548884168665244448342345870893705158309827528699006938584179113850446869782168049769966432264007966278177902651557762757038854190753385721621258275810673482685705041342357742916760477957030903096449071908498354095407263095663573379944071502271821567482941972662256036272836760268788750516822560219820603405593305666677542365776742645719590783991919245156614014090346190492880838438243663051856345674951360929115036836933235695962960402120494171493869705871837486979733176990254319886953430763589933475641600256410425965868724829449847614260047063247914770815282617111656309065555364197715055161680596585159702813639272131578651177219826060266877264633197151547456659596793830045152187153711339640214776890114148427698476413009410298948882716215116929370779330871545108099075708921243844766483315845161647618997151741607102414715691462873955345034690227105877936667089481865811777822629058551829081115132596455286718062051534182914866277439887025976744761177336881070466401404308328679022973836540878831604359335201418801019685149125181053392612442624753083609754941289900034272206377679801140303554653253620136223004589852779128612940684083734017664431010487881296703452214422893233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 33 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228084 --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":1100000009123228084},"decimal":true,"detail":2}}'