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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 #1100000004881839511 2,272 digits created 2023-10-25

Value

4978044208804593443927649201861146100078155534359177733007575271619620749543725427581700750833501655205115255857659365234951055450749672305953967797767685404226046041483472878963217812071171208801428414006992065030206247264280892263190016924788892633542884269074427008556212465113074864864510591027025352748440774910171094076424544058345077013440658839539821183132844795756725798225885495495563095487723552039931295982144465118719877919769218901985433563288518018726665924407580735360955646079405080012366174110207149250858822865694472595377215901732656400336481591463081947097419069696818105213783767890461743350991731023685379142410281568166222735365931143154218749630635420570985748498993997448609808087871738097574341495570959546056447594533075714755246727927245709968821160958744436536705832743140458320631648872226842172852938931822393869439921790807383429000121648466457116341777951635917156685878121152640481108406639980210043436184448083616938137751086050770429183280262440659822414695886838270722763058600722160777908366119759142446681111645159997358149328632780939567389095500257491001968221603232047891844961937482399910659601907674989313129800487074034592494366954369897008634965475459834695521716459710989920488070437980693214302632959294503783246814957503001175786915063729533240751576904342157546566167192583298761521151120844701726483636976043451044553252193149848468682138209232797858345539435519315207853150614598243561460129601948827645743159805086645871230576122769850930711559215978218454728407566428271292961401695806206272054608820875371701561689394555997657205570555099510933007066020878087843143805411826558036600037535065651647328564231096865267538336428684792158991188133010379982296913547060427680807214038346384534364254415196532228070121880826481543557816878996931234788725448798580984007852238773489310506322731183575338553442866208745230247709379453691293659014941992212417683960918261091755170381552448046919682661446008754039240994887414084995296240559147083448200364389609092229673245925338471196231149046892693415357635042947671990088894587393327699306754149345388186917354555452764683428604876144520176912783846489007210850386239694167574125953131361017291432997869365162631944561236386361508392119775896171329022914060743597259671063
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,349-digit prime (259 intermediate primes).

Certified number2,349-digit prime
Certificatedownload
Certificate chainshow step 13 of 259

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004881839511 --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":1100000004881839511},"decimal":true,"detail":2}}'