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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 #1100000004816191283 4,555 digits created 2023-10-24

Value

2299824293364553516239364355874120485714611860086251542179983541637132397947417689189297639974878521519692565694009693107922410502931074847340088720329595048820585939386763411624693416841986197942840283086041415438801736167881970410782178503083165480065508212517729777160006338307589649223884715273916069054891197244749068082592126949154244998225922004855639840714290554160229136351703967681054049187866414130089133216455112851069044426904135963097692615551669828251400403952634677610735879054509210436369857963629793205618473145545005671450201721048102450691585972755168688315539816379741820525894812812438403449974341863194497888218305189378210777302406019771065709935027450124936222993843667907549527430403019774489061801256976434735488958525065320500626074943309987148278655025267048167736613622586652271442087108210481808990341253181847478044859772038927085124204541356628264610054344111395567745194745321564327202051903753133709872080943206092182174424169190250946793604680481597627874850399681395593703474086669341501094019472530708132610714424499111519394896559620057503428724777758481659068441691594848299575903863999788400026571475261255881872194355471244008510266960786320076030525521292802607383532374072438743334630023277602078627849309012046245941054699846714147287215579958797690761123445214189573164914775335136391688106576217099461636200054166029626501534498418167017121528121217943032324804613598990604269570453642081051101242024213288081992091231703364859071318296379467710910698681623864242841295896756636719190343683898294338571903588128811851112705855899521729733584882751740133660913304705831626766826969624486499515174674292684467267181445097989223460192046281750276622416347971347980690007060016085579705018640058073124820700611027447900463619021906350433136662637526811138336184574681658039314851243503183654708469037126452684909703770798671908432472790495881387966126011472473216837254476289843603332039856159712487653312868892799485058954055878699218894922772575969758786007066013273848360700574059227374167027476480452480398977531532446684170551561556089074657523004476256162109470404849914322944455927292943225325242876109155870001256398841514830044726802419938065154472758321204425903148083064861149002976458500952145624244373708769841441992725422771583979320413162648981274916656789117407916054010303470315882897404511768823544997113991919298970290899484735797560916721793359050346902247612348633332787163621581804045916958413839312735129198485539992411426288554228252878596948477354368798392069062184236366796923550137929873240645089633122509374354375989270856189691559456524453374100431319691845617375397045640442909313380298084630072228190325122089343090261155959244510928641740028241479176563884190003015775062142876562100827032102007258307665309111541809915579276859194646926131829997227399114845670148304879964702072754104181632743953044977286732046141056585565658335229056279945265374512103325183459512982790697502890356870289297998551602847904050630909022072508226835285822191296351147626985915487349834119635231815136882864305727025416327533307637264091986658700526956204203298340568866823324932023148239232627043990740465088958298483178468818425782209345182131908465411461067916148956129494469944023746077738971462550590036635312435495035119059400166163610940138199687436742320978347615706372243980719642522338804359701041331389800131181463774505414878023457412883300960605693430730566698641126686544031196586068115733487000156296729396322292286365884110647508396953850624743049319317072201317132968040935560943163426504220402989399998290575688673514269455122754095629805857045621046632998881129137702857898740666471251002009637408957389341742725266752166693537589279942550438811777544341519495188199613404243903303155236052954506588948619596716252223403608913964986719369537713753201760432103797178110089189943351495129882380058758955507964594693628359298842024525931915917583336509935079328792613101789485343427770707698019224473997240728065280226653507969415079238979027195448958866447153822798411367542718071696548425562921616400431858735258899999223865030030074614571489810588036860963987362606239029762165477568466667162058453000591151382044719932848403521325139749962425771027430306549981747550334234262148477414966059210396108060504461608881456107657887885456304795312542059922509239656428138302824758446200916174748625129093136028785844013863898204624446176635955374129707452843987757872352695425269404063603330126233774616946355234881300398316459177052580123294541362762838721431764465783250857125146861
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 5,360-digit prime (598 intermediate primes).

Certified number5,360-digit prime
Certificatedownload
Certificate chainshow step 78 of 598

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816191283 --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":1100000004816191283},"decimal":true,"detail":2}}'