factordbrpc · fdb
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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 #1100000004814162145 5,496 digits created 2023-10-24

Value

243998678175837251505315379808243918768895878432407478916933396778302063015486200301990249340164987567716711774553105574453176185983391568336348321003735463795058027086170331583963472025464568689732021078053983591470784228905733110599601758774057541895467569459431004914100753194619713117769572730131495787290999513493671499822310287489848563183724507338110981243776309244760025058950581109905856426420921492588059796703135901397224973666980556129106195795517382699568437123929642410930781436701280650862366780914766322622602159265240227066980956482579091681127044229075379539426039231794333230224736215774053319059037796373362997545077603020895046671539620643314212684351321344024325100506354201534390544056032236066335701045888641750729329528630235263464850256060392174363344009075441612217270686826779846094463280776545564315218968900168078578529894372590057447319412271352057440266757177747108709091226549035566701842738216816946847399984457410795169569691009690635120635774784554543122556486697805900593954084039088776384994483405094577609178485978729217759964392842304895101692314161686811198948656212071706997264535186863830912061318379273712905800576520128841626527736728520658164374378081656589173765769324855095310100673003257990436388047186159505692065746020207077793985037153636495035155632338137465040079957197121203058684288249922785200538035739585932083854690660952317303853651289192658170179417921245352961061000202927321736383485802077114926548663425344282275301791500543729613242798008258453071341599547023861481045713680677417531922486515759291759447136134061404045893548307966454506675309229793667378023890147090631787869685618155910254271943208774288564328371115548097551674181065339418521094926645473284297947421272587343744837083113895778646069773726475362052382103688433858592038615437114369116958061493174423385552015458620385886876374465684078200837714285179840532835991903445211621338587851668207612420062641418591733986709322990653521200512237075982538647544850151190659130503051684651091238741990748294544216028370710305550451522259614318248568576340545871852504937951798053309033076853203740325995590853893792398320548888882148972224826714670792066353720193906218268916247625526258818344024205098506603086303565643261010398463544461318210373066298943052210413389336856895285675125766249068113131794305588264161061835090105279008755580841818444130371980848607311042983447177422502144282871091926882201013502168670430207137495783534408068599876282229600181908682949003660162543205175328385061366727597642807792491738393799491768718946624666742586438816025889672146286039878600372687007670923612447379903628482205972763685461029620459555902570463098153796561653090290968037018291001648821141751532339102101470980274914487793110546374413441547421979013188890550978165953368244243646731987468814932117298834522828133093924621999728356633927148957946953345268065382038528821118367645548477598599085338141554110424541965902134020420945055666845436394954445740837019111582219245193864748203301785347349204493552241261815341596290517601463387289676361803210006393203545589209426740778550432303346424154613753603448040850115196695718019899528738122117472191729936114348796471020284365536615356921375231368056086255776314059528940803041987144734542216778802008656924437940867676189916413800099304263363092081583324745628786597124368900737286125002373143066723061332802277730100194948913225197555599537080619543941187888167341290764456784678064880836479251106046410792580498448472053743491692155022403089543417641847671749617691670941059111700411687111577756748332741461733846910409784979015021684590401970983851630600257319829019149662980625070516313690490783732666823106706303991728683534058830705158350818969652848232632760255276164005404196053780372162425559689512843869396362872235188935254244461523334416526681148604307918221289194952047408984680074316953656633600112666463049996279455632080474190097147908314747669599504072480796784586274019874297384645354433988536459667066493257906229645843214467283998641065927090672105299778058268901923765694329469524573590415394727749233456911638001348156102200403273285645720838185537096345697880652853157023222858893550597078306703945228967625318263915420775628298070411473837305231354002717051688777827440328908345987801683859185617499241348134251403993011695059766368263788310347842459184652260776345309599015927836956051012866527571831375287167245216843062250336513670656514744146610801238470677916525776949103820915764680161772007278995528926238417138963966676694808979755529013225723651019775248694809828473297882632415361970775214402050646073934318191722545364186747103796829303339358187980493294241663602340474425578486389345857549400398770625505948779569142727295927730823683671958664557988070265949407251222260268192995438464776799473772522323687656560661494944782505429406646680656697623264600961642636512825962279695371505087053213227846685098450061099103286910470030711337656085142711007360730937394160676304213827351160598057959101549270280330333718106805903605610923674835529193549374453543326466177080529480700712044391334615639601876109281427203820580861837228985639692076355124699251835598027641720786570738090267334891378657579311991388839048786842541599571910569132940899492466367367651041707915433816363650601207087347883864622588447519257743622948525242779458685017583276333753157568983595892606865966515002143873440276408136076632303143698689527337672928974926720716968670776592872647231182431092617585385637
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 37 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814162145 --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":1100000004814162145},"decimal":true,"detail":2}}'