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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 #1100000008384108564 3,169 digits created 2025-08-18

Value

2927824716810509905117036674570267473366495600583617831106010016674130747488785356338181070046840956080732934428753991629707388418347182449084949712647169447058620180232126394670881700430051103114955466690458273204975626351431300703800878315508446295684862057909136778053476337243437557225708231838023296342906250312819198327185356288606503597637639751713008983174589720847971661036319942602251869222665817271351684816871470332405646256499944187725402193674641687768696924124901174935392264468089700573950480610694466754861620501288638886003929424538618553319269301028890729394786109894988584281291445456061880871856091346056604750153118401325760601332069656756460594861795023418287540819610156342639960770420028712061524463818816455025426113682229623677198041285736975273608412869916268527016239867061871257753257358133912033604578989292889880576275551009733873277834436353967669299615902584018554423502377246624403198933686448541179416178847262904783769573631156736922521974026248265944935859825389913548386461092027998099146589172191745142229988593828391388163275393870889196144125661164352170586017230044650916405437622604581080945921688304340340786600900800526637190139893068761498544629850555075213127741229898422041896452823139740755785830190295479157824391157505319607222606076179028713099491586080116523106405635626460384480588896012792473262425337239534880190131543738558080730294036788731541457753653274182532137741052763934228226733174469284606544669022027524976517023743948701533662689608353738709948349166820151914067864209560470510805106374457435695183191590269540722294098021808850689056976385692207107027384598198837563434061171288883471366737877124211197901273409559827921317796853195439165867238179333226266688808877687469637451502915381103762263483387165524842097423760023169919674317608958592007338484833476809340780540331453217179487151274073525719417985580117943008246494750898022070701194711898899317879989926710861003866194244801444306576668338603094282482340829449824923317194865454998253623909088769117266884720311261054260307197100427171480238528677851164626090465093436687758462698503532563496401570856870854347496982490834346560996312616627186735756079302609900012740682162711147529325313445412623826830285691515037255398389589206224757289841412659250198320274258634576921481187866072045828577281201288865690823634652041023115218156625698868575094901500792518983155352078709956052488556006525697956187544076198208780277319295302290852295209772578561154884444625073179346603249011798964459316038173678199680333357053031902027890523182796516077813241223908688913808291369050819810693804651476211373729919262751075291222328928913320518391811318815527459456147912726078336568948982724894331734520299373280121826436010369137309929794639408958630291305734070714705453403207345910476690531571294158499250920726237816054558535718136491977955314512098496798234640746332068012750132309145667343250506154705420741094916912256971228694238865318316479800561324318847794344390216617367289737602090964582549661574945482735088060932002091138033077825688549413458428895218827018147311568551335638530350768994100484479975768264488371115863594481105400312661
term (35^2053-3^2053)/32
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (3,169 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byCrunching for fun

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008384108564 --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":1100000008384108564},"decimal":true,"detail":2}}'