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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 #1100000004815175997 3,602 digits created 2023-10-24

Value

53823563822203057244308978427346174570336832026377920849714886008803641389565111313839611899766721657387014039476932903084499755726492454533553910104681682483275506864820470026213048114847043776125191657451842715072708080610860541312753161919727542143031052905531527015573660100464937497845001337142716312515762199932497410165531627318180894556281251547605580832980404106168346595262445286578535529867585225046895331462869373310553934962720617758568677943681803810989204428384781179556892973231462683898971047989659124639631554052772960796323038639351441900041614875694720810722331669376134236268019165192793142476944492097482132538841298871090450082762968493599432438425720540675784964792385411701487295402538828285578243228938899748983433560005595534270416950477950795516320566372382485276727562727603727157897163800594732956573002475588781507127781154753574994673566120914502953115799448656726102907827252667573145292675912849144618826053574643280414181510211268951383761043146314471549290072116113920773111068406422379510339799223742586093441182470012620964900608358482687298837620408051021731248789904070562315837683518832260851155758909506598300953028631236668824410942551364338443246403426792322406905404584777334299643315360091328985013736903943819420833314563637255718449193123000177548653118016276885048941562823304560560553485546584406624363370691841836740974935981563016734610567116425556337264065958547747046035105525299986401465247726266469789748297363798810921659848683499165684073498449811902397268992558474256950110559511550289849058878851853072596232674839773525361294986003314411248592418128069464575945079279039053666336197309893220118447571216645082833964271278151949982548950161079221979707187256714936786667474958148735183643432675023137485764415764998115128859155523867492892416940079666252293374311780607976484006073099132475954359445924217109295235189477737552960457014536713308632660645611560706786442056612144335619347780939341361612917018774397707234490977784346201545008559569545083480433158996510926720668807425596138738668210225576358361048916216713031270510423749422549698418567402089201030514112401728256955738873550859581855089137165165993750631097831969650758501051962631578413549538261716472787233681172134572107250354604815266509883995013469253737778161694800763743265646656069755597377803766271075063377636181630965496430781434375816070517818140036915277022433541696287541719760550274433760635442298856048072595072421585459007151800788708994525703365261165813616549757946415957948752310903846473070478827100843251682226972067694543030179362267490875362597343336630450547835449166144699436296657018105590117396626024196996470913613553213050940118865004699004427497844837566563584966208868068774204050916659431445583259251254267340111014457317877398267511167315723983003444815478014768898410718594888542728236527208916939780110588226034917152626170158285807725112359997826978097727226487826273918540259436463623482569261472937345411243527351415240779581431766661243620532782265851444947123395106578553270245378584087645211980054171527343639884015692991229889354265500678555957752073857410794163568079665656404357233994639775811829374920206556377111648137502681978636318816116513905598504738616744202478037084233516014643918082482594567761376131817260028580846535546942045256740242591243034890277538621186259907322120035786983688067964929120579867909463045773940164740242379968967121114190429291669668903712617494699603215625799819133324653846123056261396790065404861340990496180593961711723569837683210550859590127261084177579915840501903886367679130272924650590783
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 185 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 185 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815175997 --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":1100000004815175997},"decimal":true,"detail":2}}'