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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 #1100000004853867940 2,442 digits created 2023-10-24

Value

638471740298192556019097455946083929812786996435060602489929479428907683409092700169236740084643059628766958055323606775297684207612472775353477455318037177313399484998852391631328139068740477190232109245684624003861791891950435728259562072912185914385884796778232096120258340335630869816310705805495149813849493928413037157116881626330580543651210953818696099374486610882224423688011333194560791395687781501117484913138293040973376955288964074004612963846501125630049718705088727402939541816482033024592905357532409326317319514203455428607934099237169409099394465065007190094040937401084372462373548902141412807737828131598972448309933151550447592160301406724137961369121410830071047037990199287091033834398690954429439529749736045328257210611446671296099582292162922294737576052144249403068052833401664746491255538069494538705791096218725848372584780946766253843937517597026896186631866284238802553080677941373738749150933419388672330212486268545105122204718064155299006146860874810922392142154934373888014900142870942259836767793204084499477157162539044698533404605775325269579894043142324335190624570544585507812081278338921681319460675650912502583771797577951717074990115691174250800468058992980710842777826322375188533953499845591195516640778961967084351029294662471068342534658498550987611023924631288638531851294484957144675579551693295890278401718953632777866564196802417472348755635928766929010031006475931267098097423203469644854659769298088194206681971771748077819787170108557576173192647838414378810887260978431293399345155976640558766567256789992593466029315998538071295290388287881637643962818064983722563478478333596123734828552813061174853082863509305673722026257004946594935564434533704159472534259539428403867621589494847688533290311850483345707828609146285557992021869716946912703166257926387365864501050831010149292455664216346434816201870043578238465331546978884539063845513255652223473334363804693391046553628663404524976549773062630526620819182395983746687509646482922249808757234961909894514803675019471643978836227774832873573632657216350338161435068437258620366586107921066158117743264510905980371923653020916416823270575748954619439295331295209100935956371124451074429676959068331652798885142901669424166850592337576779553360186891949244503292942446847109674206600041295215844192472666961707178624165795303901433019969897279705543601242210100711121746656672290051272953444814801687902943475386373821078498624018609
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 47 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853867940 --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":1100000004853867940},"decimal":true,"detail":2}}'