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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 #1100000004878380225 2,105 digits created 2023-10-25

Value

27871746042626012383097997609877071135817599464647490187026885966147367199594167605229438968188253735008603158513423022002295643101405885862674776123701531351390157209090220110861470250668601361804709308296811267248037945140027784100931779388374822252802200833020902723957250662819031657270194443717244828017903253046522933897573226871630763950487938642792893499002060635380428860690174409878193754853561824458697266011461224327993486064384071266452402949738154477335803461458169575286701326675757625228239405476720773811344828026123141288345608646089773491637297592093052903458903136906165244332623585201144557992083219920467975487752725110249559672132977600471468814515255247148889349119865589026361310512856307611266156356771838047383711377296047254661519637611229905716374141689138406441636514747095133156699493785445557143765249971965945056260688443420902081590134954348980092136799305820530853587318916213720073059414023953951253523437321513309280867016182135873537484522548159463359008192613543968341053732407347517957243568974342358364206201711284560930449506920568940152421397279901825674394462579805670870808903636722197194901706329120832792597955592058038947847253860885301319806352751560514761566949230517422559044664743310528810858159443756095843514366350718087536922579073231076613735566715700773438426232804545839345565339222994675557977235455953184891716368262532220450851561907907009257718806590632820426286631389356494827979005408475007051021145173764571235454491308236103890581943640815002400059598169968669253258264725050208791884966506349674427110565812176690536267320610706526561985030901960886029816309578586123817479682602900283519416385621141879858250654282796718041689213698726982479189813512340274085309784225402878174129696313894276980958140312414292693270021238276964232614585896262827355362210386139442280158175050926572166538889198871193058743115277586197796954461672297033168987745297939906473134056026270617192475660011972166230186033519122957901458397335346299043679274953548759394065400176810393486737011553294997403721295983756050894291454487397948806454704762489421637
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,437-digit prime (258 intermediate primes).

Certified number2,437-digit prime
Certificatedownload
Certificate chainshow step 34 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878380225 --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":1100000004878380225},"decimal":true,"detail":2}}'