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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 #1100000004813707986 5,896 digits created 2023-10-24

Value

4616077863837303599567789711339780542455599988318524330239768780357371608123722050245410772668746666282048365836244608063710876934788560322300639461459514529479454473549550950398413358973432962131811431006998732603216347272339329387186927560027102506004914095213858820202907431715969421281605038886446954618504988670219743003820260785643294111801958378504645975677788307621581245258225887287518915339549710818301173681309554707909665371612203699799473124760823110031831794730384282966860318485720975832101583570547797165600790289379942467684804819962867233747246053460860558938528361583353314440460213379793288074215266905775049344663912736191360403935925872848937681998719579808215719498185492089725197605727504894324716173633401813875454341949001537635766808667670038729464263127716813839897997771576254445116456931944827593475384487396485148102793881154847160364045317847275475626480921998853421364701811175704772218150486325319730700869888215294883242910333879181908265176822073959701214915923739236803609109297368891149564552673480058413943736259208356055906476005372757104014381692884290674225021935335734760108632271225561930109502674304640234032634564058794721691818581676142188408642982261823108820180659065070833528001784201589288006759924736184835137829755596897612030212151747145680559267397484375705052878606573243530773348927650407384259966290456705844516887655434282857966696031122443747187464134013910280247069685699204827355301568357594627003978241278430101197960576423226978980568632317909681005098528688442699164633460040265121910372648056091869092836219062069348189847356389246693161500682071791300168751496550134520590561561492802107747002745570268842810080701429907459178827903524544611817198786656898761501725290733996895390136733851097610025497051865427877446885117371220401708107035309478776546480500039546052399752401408836470708291621211437856819789028964642696184410568588558611362729907444747981854415827272687825647261639818209955165351829625003979049872464635478839073854241776107074742593558711728664511259136178722328823240752667400611412701311144664411934408037014221768547124763045449819741417297835495473443811116662191131545489095207461707347260305080297657035683863998953000766620337553701974725931099970772569497833995691954321729184080251532008870711495914678396697989493161646135882365454341521125231736124059585184473338832598918931174890308997985047440235234901938044146761925083975286392521085038771412703020770494007105291437290285059194534177412678194925265342475649738102424688658627122026013472118710065967984918090756461630845367660451237197704360783019254926315121933109185486964649839422967121960684015006851922051826138153498131145285438550646470272392301459007335609973454233772301333460494551591242428135638869653830893257490602088160783285183896740886503393844234015605405289408912164713150126004971442831557150443712079303616340650841383925299823718943971541441859101580020904547416165611454812210989282871002054449788240611517984748466067042117717578135715656756030162774588796448500709974667683183838334046022184010653936940406972981594953012633923296019654489159561891106749850117238079769218221480009294262532459525773145699180769538211314246743711083309785702379305426578240431602891267832020079857033712802106323447661537507778823652870929173692953861553278784214208131371589818141256448024438619908077476829034130873428764271393115520038542639181282742126740361110753685706641319605976734053085331638962041728736474647810032299417514432652038479611660631957073184824440287886894085755450699892269784799631020723972819873954970983133374935661327188646904453297404009509974663912610253655884391082403076701804182181646041380591382385624879705251850459677268240659041897370666387167434391774882892806233607976134074728630470203415167575779395215638218414663719288087918737261046579963800504972311661138567933827399977420168273798976278272270407379831270164547316677205101554301711055179180019884102117605790141867904828952746502799479995614937889256589565186120929859782083190745870345766545950518384518304605955011477161263742009537757193710118511962947080371337243032626609789877147858604135280120262424397626743693075448631661103930738586265097375089916012855105044407377380833331559738109110389033598521572400388178975438510593369567311644786399112919196567085271107552629634452911440940341686003854225193712131805779277138142486031608940461333048667832592691687948452970201711961339032778604413738126254896140510008554407121502888072973919891443692033627465725313605403324517533623530536468926734159587296570249639684470154057782594771534056659692361236099374269037464873659409216517317183138217172147738151465253840916811769799223431460410575035074559744652506037240559205797968391525245059091645831912036600810040308248053698010843014639904531574100134194689997921791621045602711313389799540151468664233968258067299143336525604556409493631402630567214121863352450621064512838825823977300021171169819844700081100808647092974331335423577833931810932873685185674795210869628676690014184562276479690121458610341493038393027646150868453735667572382655076859375280082428079826887814334750513172048502137575172145018090200558825727725031289291068638463751549407122035714084739062572295737533361157390131169291220860728472492842836000965630349073777474984094339604298238115980842414063470342111324594608996690183888903130702095340265355508005297871549775624531479999114405007435713899181233373513063773208445526189240862772979592289735506839114473399562867598770209920579335070208670825585416749950588420559301928847968379028207373977878553909463803401912370104578903689643320581421205993752848390061225705514902421748794005769510115263087660454752182822289690802347783806263723518216310581977161562694983478753298938073803441859289607105410109366907347455632259017737674299790284627680447477863987590805278416640163232559572430897064279
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 25 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813707986 --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":1100000004813707986},"decimal":true,"detail":2}}'