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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 #1100000004865718217 2,297 digits created 2023-10-24

Value

78730647709336269414401874713512052319911074376599886626715642832881835760939061335429337610066640437979438926127444378585116020139017188658591250893196117801490419725774923315820408872924932806568134889594441919139374593816750865641030481143584355009214653752019184737493221377550004850642005796903811135457593284585953039097090921551888827101636653697275340369710937417236361270424676908526830563337448898225020602196243829931906729443600550750324483880582564227447142692905163166327058120280843568559225107512163556419031446118066841800120869037464369045540704583248636885002997803560217822729454280875395793423111482367274540144231935713893280968668647964416020152093416104241422422034766167805720593229090174296819094061445419985061820663945541471631888658338459013703416575014801282078472595152739940810381683927440473040901148239765007779161786496145888174489683866443636760632514500449151873713039588642908684976216021685334964374519646306739296899741667403049120911640121569248351157455712407918242083962569648816707529838254949443240605138734775232068508687036283557906833661109761273202942719602286714896519727694240225138608792910989349278686451734524524003470773125855852269173629256494410094241032093502643362029809464671922870284407403110379670591555645965606206810963022795087438083615065477326765457311698984725379331974754750720341004665118487336324576993760983217690712402931415814247336846694726003693156458909570627044339866720966253847617939659705380784889998535360713155861672711946352941375461629014315495856105034462099690818874539292231324720935045069238581109140376122065191450689441013002038896092141591826439817630371336126554241879315528985635281019791858188713996735089409561294041777695987226203531831774873288692086834903033333967091149663301333010510627203714040441586035027714827395796304887618132237492360960137063213905113730226308479655869223815244649994026384579738506793978227887246096143271895738010932545036640086616139488696736387833043211102744294942830142564901395860986813793680343847172055881752917549106011741747395492235797674628744389859986100814748180930349784558735667995718369740252042136798927918047614173613442506806450701946300097842290054029050504066820891727824904342271664475430294582561481487251572973985207896239242232670636156245338881
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 2,777-digit prime (374 intermediate primes).

Certified number2,777-digit prime
Certificatedownload
Certificate chainshow step 58 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004865718217 --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":1100000004865718217},"decimal":true,"detail":2}}'