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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 #1100000004842047464 2,944 digits created 2023-10-24

Value

8743044680260589998453236560971521559590998705409824075102852761057899129883492867651873996499722541574092390423304347235605850262663575024951574035959015111153277480487020838385888817520824506245470798716321900961026975649794377707547879054449734999636400661976153928533222835069616768214914249447370274319051165596921272879515370734967508212222169148949878876729717754446712297004270015424391522101529477323442186759168743258480386993679733891608383194699666326711796849834423502098056508555046328460581137269889046442494153474770165009115430220268190824838708450137852583284917814487655205521301801449802202272955325189705196079006186290106574239472832571002640947276947009348349376443189279498037860291742919096261479711316607962063186463970665736567250092016311045470319354037696425440127139501606991311586424993933883021216345887699401751510192764056277579032851605936220785960844533243449787440497652731169369970014807434836905622750734582900516867574038071770785185708011205563680712122651784205341636950419917691258094871925519339057299261961694228532506397712222930334631864315114014732124327426006998732910150231812157082710658733770757648064864052553994927310374263789725060302186214962247375841488632779415188331809738126803510579772674616640144272418531368062901104419238171767138846523410170658433034272974134035276959387239632391218662877208467186892594612201853163562948595548094911018569203134264697948636151798571174605392626284557786021398141491727413840495700682949325147705763146483886870179496053392632830482303178139255028284450502416088514977073234069220658497307040539465874394992934670689582336072084126891958363051934261716156061859709382588846781310495815806653676918328486095790589791413349403217845227414552610175784291136613670606500815800222033490510860985748997658344982425871421757894852519051094874678768715078303596624997982906998066611968194815038511228422338062853561332881107788374162998772975221247277501330001247049082231174815904691131897228403852161697074634051838697776462723565450242118506010488458060708460029028150111926230036137487270749855113145126305992503524118458491381109316967561915463625882843115491839425897599363973096711201564540010107088997103049454198316069164151727899595083002827436907153791671654733127027560267558669146444123931015536071661383361120562574884008193880397685304294925744826574467797365942338184269221199323990870340278984591102165399208206894461191236904905217034727902484045418523665969260738477789009663355162749721949112015603381679452513680062347578170807039595508157637587519442198299590116141333571250853310612739800255737423068720780455669948305586645625095215869739853259041657394520262232052537325943972391091218377951235033060415713296434055634108874694265851854624160346846171523404910665571246971681449379054424706708052122379463274187341513282957149372965991449016210351529012798404915907452499272283347686410494160774718843458901394236279067432588669
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 55 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842047464 --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":1100000004842047464},"decimal":true,"detail":2}}'