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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 #1100000004859562548 2,017 digits created 2023-10-24

Value

4626936715898875718647297279028631247648645306281245718811011012031316484210850983128130695719027017071475306808644778741186103804174196995422531380128891070701799288832685240217666771451907978498584506772942418807142976909316285929730159426122623601756608644045157167837165338771634044270713826626212485411368293836581506238762236769867091165237435755781419709024818465143016688675684222199685750819362160282082915004313401091760914492529985959862986100541369061092178785187296232974839425814179327168363367444852599282217537174056583265030343349384277296502278086277414308929171425346944430628771398844701289768148176791356941021784719109328113319422673492428336350741273042809379965057229253628705105876669491409260414602879723312600860077009156601952724842169471353876131515938046584789236500263218813215364769024870877389049142508268887089847639394595558655590380623451190993138532834646316685948128366809810371327611141759892912011042958332213688427586061805054250898227468502324421660257261448829457087971376693269687737675546033031191046283410448030486642244330821091084258310156086144848154713338441323612791808820979552117914736447806909698166717857937327170509869899390066125258982746610227381703023833684164613423513997542411659980474229365685938842653764702578257136714367869356217050294896108282904966596712089892060275705653962025928682117109241727931834367019817529359608954610985686176134612738749331869540306111099999569849628461985936649390969834864462824163437443821161713819580888279148442504581732111180591435884931119207533201676578553749997988524484258988952362348651559074965661504082857580421782217863878854980699028244724273734484436946609676404196212306872068025341993142715053738437785045398834177822518887118173763288037531873500176931071321798543321739861791331105429601359225206306199595019380588072828160560162207629912819363072893422881730058052541156969359356310533224325957404498920909351604490546764803042126191271195013568804411275988560267512177789244016945641985428339990054523
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 2,939-digit prime (311 intermediate primes).

Certified number2,939-digit prime
Certificatedownload
Certificate chainshow step 93 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004859562548 --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":1100000004859562548},"decimal":true,"detail":2}}'