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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 #1100000005816067441 4,406 digits created 2024-01-27

Value

22695801711714876818262237181696094802536048716087447571178189450705209911361329052923442895467005291650158751377324891392824512633444708209634236243680291846017877880820891661329636977683364041106289983026146274968724721353414118597001613208542618818290895785685579881757260492318843307580176203924426456401650467435851107324970688564202458067989667648867133437748003191105507527771210953768783352570302284813071748670714526087050731389115567862658290722645606565773658934117447683147668510699702065591999013746827760261733277950635475327777860643534113730174361811621462001532427453108670454063917620763595575270825034572016526382214406797365781685599214353517041161481106685282098970791934040119582742556192126401802701491145418014740079810111643831915700500302503306227551449594030652079619718882763610556254565531002117820335301271449622837997615321377961185426214840751283937302147409286637810485114807414946678608226544156350807009811595025678893654902248107546327442604164569012091866748827493594613968890057401791714693732231870200216386802564089611857533529608243669097977103833468234870590822071296796455301347265242831834909022907979924800765800349931313062361627599105585421019515474070862617792315532084569498864196458835143860677817178866044255743292652541791910444997033241553517277753305512163456683852411316759996395463655210747258688275400117690681012168178569897400362365179529397776998788078228852490540787378374547482519140610166243594133109458453384056070568630381231684135838379094186751764851982879141995709646986407896909738023709178622741622501798703926515864012156298705882426868395854454126031050328991479087328693535223039075175844078982074718861008846286597954707102292355045021597477957130477738164236947296568142512254370812193149220365996367346827103769107525666983450096344296669239898143251215169184301646226904363760884173220360129114870760432544195354915836108035474322576538479173193207320764129266531069936653282290628213794652264471321492658378862282249000499138015950938056114550665832571440308076556973095834437243222566987139567302559738484740416733774571484025307247632078236880028649320795290836121373002725712534832631045447032924741546966544006783877449928192793918104271155915566844083662513059931023312120928581503605194324608454566405174258015256258569314197367457989804093768238019105856417603447916094158366042507820046514426588374541801039657663092016689822299998486695784898613653760407778434704759313059197731010139828104376403724430496741382460094163670171647773423495911464585909777682313714184242254109138841470348562621648858548051728800492063607682589365737589861376885561535848222575086420989534269486788430856861836096236365501693037137667901547036231750807174824036718533600772442066187359660089074353778279498392406089075606505438340193489068608730970273893918854999797375431805990766980175736339556953185282067242047156203801246272624400444159690468457459419151659040130156125137913435861831036672158493329627795265075655380435927106366019097094545909744203061851701022437691915868810512403825969273108278137238455780289935798168171925469514366436503835612822075998370673107463703798354196093785336956124114047229270863048575934850660223509247333290339066399960451619505309235306537579690845894274099151787179279696043037271015300469239624324221176410286155674521211741707103810254827678299813223750310793583754088983790025760110076945924115249041368492338921824260532300168846280089458220003061768058919263726742766206947824512013122381297864089157684934887503916917298166932487579863314989296623515811136283282046353247661087973606739552609545577063198741361476040834379381973518024194336690688099974357756176404031269254038010385120013686848687166393650737128702971360600883138768400258751420302714588495116516195557979259032880215670241044968184035846373890861029440962500782002151544507572562166188585129811237980150117581284439624888945515793863187113441679715995540154861348474618466328899005456846368513727416663627598597199784864809467265833895461032808355479989494573740236362184547846382610788186314096731019609232748400673446360283188268462472639343441750800192291327162338998350396171807312534584650967258651150681915816204609158852203217432798255050767017651640006918631946686761879851580701822332025146984927781323590138586285724438717802898801197042612748609380945127341518608258646473154167528382494439546301143346482547483
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 32 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067441 --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":1100000005816067441},"decimal":true,"detail":2}}'