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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 #1100000004816921154 3,718 digits created 2023-10-24

Value

1236144540895109913218186873670628590597297640875413822415372169561820883994026592923754353112509489651351451977794886336183307565368182244213010807861544572298549448519761729367251395305154149513139608470603186918701557006783227986983218134209871265909706494579576107287493993550245446615401334903848234348052524864186377626005741605237598397994685965554946833371324163819974432626544078379625045746220304772676243550484040666254800919966606892800359566894155891001858594649891238842701093984230264082212841513410382782561615211948610065256699446582776241547405987451551696472434987930757544625660754875957518068878772450557880300476902664433163713779210891742629451840069733126925454440225715776045243731795025733330265267789655844307972963971785384608620325410234268456914976474285730798767513257382965968852625985141978083427708467807228936089066193759038056804350122186634244128516743127331728389414077119555061815010192976213611607014787934997556626361281240637579133480334889225789683007046694827327541264189607776525956749237325065856928268768186418680463472747924713588723584425356788771396184672465529387800415471279688892571833489494556045478820566999943308533414466299052988598039525585735444833996819871324362421727458888339739388171605565489433794851145675725121325295544742663556049112824959668772182177309672841686996609751162093294404607482768303706618788160910710857488448156426178454396368007382887692128670423501114862009674726815389750591375092260904804350938513396627247117905719515698547818692224016716692413786895932839719993348584752319051531968231185221454517133453936640606411125332172571790014092227642270761316618368993266438664576784618957446478377289394960963887373277695893873105501974968152643732644681514124427106883810787332237756162607631062008344142000203783172694835491654661451213148031514980462339520237936016245110636343669946355483878762472517017017459316323243612015105494116408896760868955115173286734508258944728404635676548424455380355167470907218112666871256536852883550488529768893855901579666769705074338544635898592297168128596726646681823659446928140298139190063961646388980467645500771462409595187374968098024817754667604906209190347830793471861529658346128164792338258408887378742950469944702656610016401260633012533042256706409135121534590627071660825228641124718380040430857572719123317782201901332314432839703801124522797976586021891364258041055896343918633126963048694346499651082858125459780212504244773998383212093150387211711367084444110706502021756229072637781990492272130261313792888287628246951171917558837330397188993453026524169196042182471927884496160630135609322951705870078221548932524467603067301520689264926064669976429802553960827459020759576828990520350191071756677192264599373664188605892141876376148104625768475541296581322945986722047296779875422613033498679378967770116177749720446988350712643964844115430956612884481864467580163457646740297704984854443918533962839028444967857989125100621838613713466326308371108669373201771566217949852248951936711659762709923338513658916479598701056100593416327072890554163586946218532420936659981956338503458981575843180218645115727782409531989353879216875637800699464633098022860492952231408884941769464668963721273748247100812135567064166022014952991875870235673464206249961954526835922769747915751774165941254005815065330785614235778808719619807081894645808089282971998763491718353552563652142995718616637574563472717089347808158227308691494963721755647116375569994679950589481750865068650548852050436324844387413921509682076339650718859051149031229007321045001633393579213123049656218785715187723092431876519893398547810916496787183324237954593617469799719464542065932742489532117378665070037307169171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 159 of the certificate chain of a 5,268-digit prime (612 intermediate primes).

Certified number5,268-digit prime
Certificatedownload
Certificate chainshow step 159 of 612

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816921154 --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":1100000004816921154},"decimal":true,"detail":2}}'