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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 #1100000004823771153 4,364 digits created 2023-10-24

Value

74333783414754990986756975815777340179511383566273601587642840343201134049880526807847457234226658367014467100027692769918967920294526308543403406828853472375277466912116861005515854197157853508970135298753853022839727107569500664708862484736697618478239821952024935175236348856796598431450903728691901362581826716046759951639807321206821839580942469649424594764293976678581619285752498494840178314143265028655702615306334341057371513489094857656030024753429194477861109034428381053413118262324055848850383939382943221998655271448998531434511070034790543683760856197380545760155446229026146123088363576288818801136320650759626649038022792477190579230028500242873343958421262788262567251326720109721211284776329341914487509050852312834741743038939721275866197061345267895034197183343800420872979842871687432262998502492732216061561009503846425390900575817153967329878477738396153766418754066695080122823986456138648154588494399161499042854820856398081405923136149430673564789865415046715516448392797608067741943075073808795542991553917421962033586549739525128707604239565832660722489479576431506209298979111384779926801219725203308380426708911708314264095275612437388756893236059878916613742305083731333238533892503126904953318477659286437069330368281369527726789206061708273075921281193291774650403881906235292608625392966459812765521590042408934426749305118252179027734172352353051452143244253166394960663338222841242519271705913643187651008970704348846577107409831512658503770979348335548325230289000456589491438493851981422566657745158958240628277699999766167642252782953291283269750886356291262214986415082840212353569714207894484683636436352348781447545645396148402851126602647388645677324828204425090436629615799239548391947819631064530015814420141151474952810975895209690935644110997787738700978121892134491653223447391548700538819227831093564381121364868211229149226678670448463906864455962411711134040694247579202684752552783769691761538185520624525420782323219783622475362448756712174096571010155098283166018827805190630887811615475252964200390189583975593326467396406836287825941264323023770040792922248264160461954251918929974289463483594311485533995842372198328171181615278588923422075018883629239063543535335152336123832369546935933360257235727429893190237105632570894917866112861913854948852095795947996548693075916265699654279202085583845088647947823042819029500217508765953291510753496505264368995455782168796709398781611688587579908010670355933227814373260629018385625685801149879959591041429353355683029794224858271219478658844306179188035737744454718869575150802280883594479193683714627763256946456438136156538005911724974545998385104820276343388496854404718469535524760028039680343354293955249445247939268095796987566353455942251236472514813271682231788312339725996054912727931682050308906407789504797742132433053173526254235150542476575387889458788605794608890343342113785120839103083542450618853924588341839304194745481419117909755829408549007659484496873691182839115520325007630813015210418808631029018248056549797162666177400326283951075676279563732426803346731415314082868786592023401037676714466255843389476274814579293621732398405241673776883919661551034957678137098999303166549814025302600261243207400011918296808931906301533629159881248045917234195800999592236306610512971266804025459696146897392239744923075138893147326739753030177885406128788996072655901754348518927141878276503554172827741544364744239334175886200871610773390900472816245476233491207344530860095242408290287081731348755080026128510633758151745655553544471032166104979246537676300987462118446200702780207899314770951776803092199604432731033113738701317748983388873687183103145583641902621711964635008661729768929029155708478773817060074801651526797814889278899120632467892145856518646674178133166338351513123196382660253379696377593315841514559486825119324222792762684394879488927335410605850728875451212534214756783539359888998709958067907784732289573778179714598127622445943536346598124237860455589176955242022831132210551479258930805470440621357891717251804587200823060344249238721301653161537116049904544462398973483399300407816832340773951469698501263511745957779263206388525881179754205213457341268969072353650702840704821483409916639190647822134403498911621820136647719816613261477853533117208026203570423207299612676865817151127730572283694458520424384908581
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 4,505-digit prime (457 intermediate primes).

Certified number4,505-digit prime
Certificatedownload
Certificate chainshow step 15 of 457

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823771153 --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":1100000004823771153},"decimal":true,"detail":2}}'