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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 #1100000004813494526 6,099 digits created 2023-10-24

Value

461074806101169943731909251338220786085172803295812547139483366195184212882002328693614282205031732445238736328760817121877194116569698109264411536001245639010459062248603846282374523117750612585562679189033399086714071566813104633717872998320347516396399170193836775741780592325975818858437631038505435821588517041130506303987109426103470946842247114600897246907493408210341782053176113306301559848726020199299572567227658843695047023686219936643346933427115609031052515525314003103127632403775180203530671017617120436467549377247598808524696630431178981672146660036326874469877916964959819839006167924560247613503430731241784830533867910486803241349169472136308229966423707134065713514507897820550773395425795216888336468870096843194423600768729697087463920577488124813362009762923776824204016763507769027026561619958100661748529794116852991498080736439391623610029467263232434664223400606811775737803981514839921317984189197257670665797212602219299119104831009152212300205836647217616951387962413083859823540689790009820775697241576511417024964309055075057559819191343095990059852201763560763942552015532044516331372558732623864569157814330772349468162928693900739867601779665312866185376332854278528861379364254276170795087396596753481510541158385569379032809146665200659694229938085376768676089348838413281645452241978298774364142977515370534264988988111171141594991471656579117321130561754929901139208910845930770005348717727099609772471642409920401564184945030984556612243960018041397029211112408388429479979421730674768754389368243478997146800519641181434574745708628730707719817797698115415439210147098079146017971293605302112453654096287423540970714194861679692283080877404349025952040530264809676769793779049270602590345000211833037367171034281196070279804046118974278107543287257936639802003246185676233339439818778385705708383710021198028540312633768066259175179125481300236641274548906579981201679642029262978580126682482093092616936521080149964432727915917528366933417416453734861899760761350452905802568283801744925878261610345614015483447571092280121976828180645189796490643775543249789730350975260505955315512628695297993092569877795185485909422289652532762664489757702406217469415636022332864459189179000216931530906186522520142973050395282739179882364001908215372205706495252204202206961709635951559882909867918933519468979071443414013162634543339340681973637952266214157705780975083047317495336020104110553426592094312132838885546279422005633703468290990572115123541677515321998110752969273059308209644358251162779674449223849078045447120783927986342549281580226337766478392534984908785157574441054077779685124499166017237298409905894874498392107548888472921551913742190099255230447599752553743084830940560996063694692558151740342164867582819693371522820235595855411453191048602285044025055652475793075428447915151319624812329308015552771913471237291491835164452116732324612064818380361201551453622780631318290836935204948674767685280965056206482347179522697791904822683996508408427696656174903160612676289512277056417929295903322936428930511661120310401933074714389801062399157545352317620271159250625385837572512670240954896378609429056499759487640598647621692471125605259966439832427595940941840270626583975259904291974775838815284177574221959848434356398886539360821959782258683365957144185053308953966458001541656726204011123993533032231880393317248808825676211192407690218982016787754089373783412125763069392178624704402519088929493838980616823229781367931252451697844618825379511328052445888130781777922801781081480328239205035640944750675317269509702185296734316943486357855928295064682954331972938659280434137357400046860055690095489526835137123507092564508325056041418075145754050761818336499629808809069944713883889451761093355710664014743100547269055678019853125025143371195558420064528680167575897645488278622041386710302712423825613125131211732662661311317887549869812728502166747898459245144672257369579907507713602242162264636370241984444884296214441320541889768446011811110015271974131969197367632529441933138086575718379117890139514783854864340609649068023759790101557051868508552995688359712483112033373337649347439635688627934525241281376330605024172861256840316601289836691390714195387913116717466891442272923661910844070267460633745801050617340140039475544589688704081103785832740528780107998691914892058949949182428803524791882168034193982327604203724214910289272720482672410610068080358165619550288446810659102069527764091772462945202915671824548679791372832848695389943074424479861439659793542037411678766831006789238181541618383783531937864853642069235468947177682878860903120089554183859915625140113607648544107112332911186382925300135715783867537311102123181125136424762881624275272500150173165629650325374753732244403964251013430634751105937114059643388446139332872546779464883023867327242157313886288880052507924736061884858084103067506387763970271623080784737909470792836574116996601404058383110786881253765559980961441833127840752485359582033902055475077037887051656407255300334661207820804934653176457843585244245223440661259063592757501309233891376875387110014290232593129824093130533643865020675595640650306788730472037631139139771639319135702192223839690893224675821440354952707317885682156767433088433311742448208814072804210175756717940021501462702989132799840862263240119947504970527834313629867791616511578514124836744998831464822624495525873455178263962485259710527901765888299794246428590197844282329012596456662368357710959669284748635446319644304243865144612954250375981866504815717083594916262264837493433519333441551315826595654573938129666285520972020984766228386761062661146147957589842883517580909777031358372720854581480762811130308759962237187751203060707011383637451497373203621015477997888140201701742416323101143545993859368401278087970215857431515713506649155353865561748964209754856757118585055657782633011973420261118224740132418419107208054570053088048063299040536844100980384270517002127209984519359829824033934389990548951347183699710451965636828068126778595391565183438439341848307239620965186294261743922118593918391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 6,342-digit prime (652 intermediate primes).

Certified number6,342-digit prime
Certificatedownload
Certificate chainshow step 21 of 652

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813494526 --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":1100000004813494526},"decimal":true,"detail":2}}'