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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 #1100000009057947814 2,229 digits created 2026-08-08

Value

200529566705498224233369983146637976693465801489482031764446309149387478736394415967830003542513264952684360866947346724075004342213394773170188269457026269660198029041668576661296277117904110171168415842527376959110896217080019287070690578289287447641236570870129053380880993775788991890552017344112524425393137851869258826012527269304577753675374904091983880474765379663313205083793468180586094160285451048247141103782671591900286822501857711652482086637437172878293436320339825554771430460261871788413260789146953319413449738748970313157423012277089521413489084726785593933075620326594242123743481057877137200560080527875222709241350019344619022725363936151607841812168119263730681028674740718328616394909581871849577583373284890420324700167141106683319687500594261247391811805031663944605926610217772914875351714402188049908725380699774947327396961164024026120376951349356428850552136741994394864233590699654298690905186617771670840840679237777457059894460025295414259512992880467790966347143040888055351591092680914318209642518246624003477032694424835839638127180425040323449193503293195706646320128775734952569030051289039775151625479841316386475134495665570409613499786563425489268522956691204578700354683921682692892345999644204962067128058049580836882205139071531977967140590900931913686423481052967374800300479652595398151707808353038098327604023369199920331122929804543783525709973199659357908018675755342749972760627266058004515391074872505428098943613160884173829487919626884156285259867168965175011192387965584203976536103449628403681900855823423553527517512191946910250452333779429768358668806274449998949982708209758134145794892807417231863839138354551448087723940548564561767128575705831779566794751687190703075461527751422700222226818798479036315223676239012531203193033870984425402596395635027054856883545138146705473679113285232481177391711919929071833732346879593154692088240088001304740398620702958668586278197568148256402057693561247204574257039189126719919681208154218779885319369363346307440111156273749091600914553302491417523903892830516704905744134271987115915475407781626891962794681615149811170639916226142494915878154653168733182957778962397118532166504144912745961939860274689940594324168145939769
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,454-digit prime (186 intermediate primes).

Certified number2,454-digit prime
Certificatedownload
Certificate chainshow step 17 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057947814 --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":1100000009057947814},"decimal":true,"detail":2}}'