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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 #1100000004842736583 3,378 digits created 2023-10-24

Value

133570210175898303659666883957535380705664786100335158555218345297340825321179347238754996945261519057088024373532069358211821910516872980267491693749564642389079163502533692512871959160440455313837662781677467328034974028247725542523750068156271089173757247052182973503582167935676154194273443977726866514924701973109528121046284969702302789871799904629485909910346798792268831547446074106381290946453576021520724409308841006542953164233012064544133907386945869272715528688080960151215359800144526070605591891445108391425904707061408540389374573589861657574532212528534353543231633400235209602861104187592399453170956891800000474876589749766760199880087107342318501494614924923941987350247028133619199613191293639808743081622265678462323676968291302397996164843942370330620866567268876436227528685096343254274427881553067569985514715936251639831625801406317486306708149998553097510159268712846030583240556800779177334058148761787258836585089130005297540651023024101967462804692289324127930421784214565678565596404986901337660933478456607721947979233623209821328408084065067417918329217827474326916345148308565403717442893986454598649053061183685333157746649239547741114155428528533263498033900759428698326837418300653608617689383234523463501898206771997307357547021033048244897540590542613872096473205175334855423097325568140918244666140407261250407632177337909632482948578396442554164468169379435322459561025321159487753155934621319942082662204577767276807212560864485913187171970965922942668873248134609072499850418350092875161806430100852079291051544918227494342619344323253603205203987929537192790203709062748716519432599092318862988227514483445531282878787174028045094035422423888528153919110829393471457830808897046179358520067110911822001397619743325601829265605224711782668280266569045331818668972011488023362891917244760813979641757431498821690465476144175492661969110782817494255671167058188855866217150195573272361520093718178784968026793870117892857705403192407255673346431784751281974922207307252625647236446173570852921781865992776831639472043692390758911791776633556633916102624874906098091093344759736046271225505179270514447843357048963331268072694007509638767407515458405918334500403478301385933599253408956482317032530234123722033545979202806774158420799790619442217408820561322400792671753153190983625046806695083343464288235280286183748527418778038787496731747808921147799470898634091800156138748665822697443315655797505484612285960148959065905046344954002562940839728296482702143144057720096825681684409948167636865326334392876366040981875488453088130968464656279814984537359056391743002790542565697382476881254062828655836039067873728280279616709596006303739168176919954766042201177643701083352369244763628627669340894374340925548321584666090471836583293419598819850402982285919703469643737150247043463232492479319537370534287781522369268176376802828814027902528413592615166211378518598798859615947530087186248478042347068061682864403878052262233933565514671433044613982802323362749487916991456050490372671452048364711498698485634638264767873694066368883559929094595011970575500945858680048435284480061496097095061956286947035338951491355276730859711979071270612964415454341617936528602034675765988721822831843039853712810300974665116164674698160068706682045836201942120504253561183999440489944820436814170648227015128492562209519665581213338584164044531
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 4 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842736583 --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":1100000004842736583},"decimal":true,"detail":2}}'