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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 #1100000004837030999 3,533 digits created 2023-10-24

Value

71753984502604965931944555187085601091577452161148189794574694854129381909368351380842222261532857112132945115478676739372028477322788681086680359357875898550615468327857823114317084608201872629954242899141402429372776470055486955038406302034447125736486191900773425368173312636404819584352726058796577472975283643328796409942918130532197851191514367197238993045908530169321010406281774950882668730516840193963001934191681385296971597453936961085374917243800859877269694235915738446187531185352573294077575322756311471688914979431409855581230602906073124154276656565266741665117908500289645644640479718337981651136786800049314540165930650901176998491828013356237753574372661245146289413289697490177599731787693964961238664326118375178829393727892466990069147611260745052716897837866338380488546320179832200121949522890509568951473272417577148758612979449558015713204891733203568121546416766491675620554052775674077748763449378650355422176532182370013161027665562998944340485460075960511288542056981492510887739696955717290696263581054459914517958858813637313814011142542179826414750264474727654081776042722287589364926020419488035154647061048337678957058648210279784448537103564706630958515605606799222930909516217206494509990254118199542255257821118939532149743205173388060766983279954825164997120654338828940512894833045689785320367919761115298418379801560648774852355507992193533361925616542756056121331971122570646593329839281196265047133068607258893254318160828904515083735197921383888826757812948349991186886614207748987379193473945675538502134227506067168983869696985740348006706198714016373803193588667322390922953168213303356128961318146754140161867476975094800958974841960375921774431638184185052495606201033866217280381817067395039254714704792128683305653201172738366688745953540109165983932851124751819620303448531484587182553684647483177669927294113003924562359600735172917812661900353241700201461391560648755017663075001897637920086010438971012593737742457632984603205492352821212533144991513605497700348776376759918280069904520415402067687262560792269988867276052275255453118827321600156902501232436713208442388251084418280992327939334443907855838202504407831401700000800813751563805791291536136017118685762630246271935709705660079009114611478491236987384256667809178640062212422507472932351112845682386662871566932984887190497181942105901661783480639916612594780300798309419915355213620193943098025428923074717561503344753949672751850059435652521471871431706200749638802625207320157998755381238727249556972597815994117888866382291948612606817270704930030971772742865532663282334049381245038492645264389843424361500885692899116934497455073486467481196068959294040499641184953524243037691949006330940123039790934048079591520058355704320986936538309021240997333802344162233610011273360189314826394790810592633073791011903599263938042247777582586102519881505425981795337563756548091922648151636555468327373607082153135502336985092748687241532759646710239749829794544646590148419389285932658473209097726336884025068931911558930567883687958975430476362243671545942896853957480503490011708794113372746214080575725514886346084953922956875805970640145008709470126006815887308983861415295880704851809135671774716779873987125706700294007575777324097728672453316831315342218545991376061539571292811243008664020515368308788631397662118484556265053887065291086789936394227910737859912811730618947416429883466057196946029890608783128824280382036097830563722338294005513992625499824149935065808972390893751083375347586719856734498869
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 3,620-digit prime (503 intermediate primes).

Certified number3,620-digit prime
Certificatedownload
Certificate chainshow step 12 of 503

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004837030999 --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":1100000004837030999},"decimal":true,"detail":2}}'