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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 #1100000004814174681 4,962 digits created 2023-10-24

Value

773809395474098720556744163976404279524282590483040587793954546310907322137795423232635975037964730570454065828816928904596087268414504230769340728895287923524677227336115444588350943223147165453749486940657473311427327498939615308226218912821295778833334058501526381891573708210540803344311068790982032102768655181322357442167241785376476771778573760153821899143997075273863745789724141385712502423067257355425433874597610809081742211842937730958265918162632352257748638438495516620199740490899383841952092259996548817593447758125602176356884120899499571182237390149488755430966484895517718814307165411092984823656170625044533197369623803388251131779393033453795001656729399634834931337552126088447308254239772870464115655849429727614990104402814458614844708159155132055154238675080449781340458019378505088205725625301774349141261732768524103415992130245778528190827823771468934038672556484174594512217532664781922273948137108988979557115906150589145983462876157979599848736994515000671959777307294103699235928156418429217177886008714037822960961693460637043760725906908021963081404763220903920746411625541103373235062578142885612086196877422235776510426162518596722165802642313663019259212801667941855891614770200121399254633970470069752151440633145165829967600618279418187192452298629793326838915656143115127126852923173194840098087109459407242877148818981914155647667942260805948402108232313026557745480208380920779934600515046234958233570675963936132229097926014337845509076715366014229630138097244058171718880082167740666977472530537820533770713936973780452586628017041260663343705419628775747788629319962553467587041654383118511742530929831953117202845749923704035843448603436943315461227570641096020532074261596091758001605393103099286422251656340208206738004507065230442140972385025268609543156617532934719658752881625500372890824791909441345348147117089576921341510429156572016329606832919496551606562140946440158223470574519882063503427199055600589023626458796899064052021006278357347918584580285880533583304694125952671068290080957800794213607787598853177743045978961029369142232858674471542330149905197749314112763006471111683505911701652541019829876469417725315029916256024474063375346123779258986150864900092360196946122873460256561979351429156519357654898199230862307038127221459521028674135222484825128657463286826034472146691346538937230713955098415025158153534193487769741339960521737871976610579268641961828535133549086213679594838472480462089769502240265900232605367554681902550237476243821643389251213484871128647886106584761945749864457642304684743235268141881962945874248199743595271152386884022596178860932598634403125762498726730111099809499452503057125824923675157617067804673460351466702638730420611115820350109575610346649512939371653654608980973238717972726852232218529919841838212713054564377248411940007369395707577975315477057473441754353731069385269359793528594696027794108906334026399290980346446768198625013474353294133655807186690430653443367764419785613864692725177287415900836643889105670185048820542626456107231946867937506477551162097116580400070774471541210457991498198888102204769147709707939639778652675265796948275743045444614174138095117955805424467547032315011207315070864961464778814905138320569822119563732913443216195806960708905686600602776319519159797235267128710351842672122270593031413845818519800518425020102134040299036515463865277236508031412353026569170903689016825543682495636114450934474554350207419614432728440970461670922471795037866240475431576103603014250374657528855832514979381306087940145867856257686229842957706923736527481523884243407194665741892763273008218564613094217827304549564905006126730107827922312635672803356626289538299409865949761243554972138895176521712693026803532171505655225784257839468565670135252366513330627253951549946517134713992326541597586933303436715808696002823581634104249040149012085351095850467602807464870830437296055820772017254789936051008835243284003470787936362551920062414055578072621681135622612463753408283301980210290631195824564050279013855491241262713506052905363641714459725708308312284740236740156671570822918434018654899474581765038883203448543969251224576086351486266698034115110701532560402013848826044664308632994669703268776712673515943359778889129839140013858299437819247600447200085688973720714664904968598546184659348097140519004367132526747529998316053532271359560042066175770108521682901780603252637247307630700038011642996255914272795721841688400285364483967976318110382592998775373581934748393179687528641916974189070520642795848447971018307091376085996921512871213490550085644451630375847634747576199470219001659494067036214450134708467741938588466911853654734982581912900219829615016882343022894364418575970273392196773470870157574908731546623632553589915502286297028334655249631704349481810919666899560258466684717079927929299703751917266237085221177707720001805530750032412171018896854311438798229358876664166199625643469042759727164661
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,864-digit prime (594 intermediate primes).

Certified number5,864-digit prime
Certificatedownload
Certificate chainshow step 82 of 594

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814174681 --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":1100000004814174681},"decimal":true,"detail":2}}'