factordbrpc · fdb
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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 #1100000008837099321 5,257 digits created 2026-05-30

Value

2648943233782534691434699016254455206258882396919201713281514553868703049460199660762225798328181058796350256111708345403584173229420906078393528609199972401646291457818084785130343780184746805028790576035907930985585285245769698049474884124374773661433501440348218805805349401712054757142503063826670112781488933768327524689575753061329892067330427008830114722046806967024531020863081598618403611746968073816999317545810028017806911200221573055417344601928939869397298909426423868249024469817110286177002217525356589339381752495644734208597836431028948005367070251454724763773914654225209680835480461074519597234161740024614463030086528066107464380507605474931754172714453461068762469663063856836328967505890647946956095416342112872844528075589593467751469838396205654739188089205679583223242113873201044910584393533714014893764638668225634810524184235070997093800023809474372751223292672520808941627280301522530786275082375292071523507600889402558089125515641391113002616506543441610068084547715814453770597448369316581491001292844946885669851593413167550448737754085036670575878752697378193995292249037173892768906267209694262611962733367139352985246212679387715914553440133453633544398304176207475240100354959912910985202969912187767463242098232728550679509054667161545519276998319243225472130383472142699427895473279025552994208116024148102329123610528020916732092298826026005689983541944660784470892375372862560772507692654587151664574840756368719967470485247936771558692814047732266698517278377157659321909986819542254019826586092363963903232466869523908818891354595970142130903546693403164687769867934310238021985043002558257047631081064843146749041164797671914747684347505049158741976358001155643252856310641257191430781789103517724730059596170011448732452354570810758015997430321460137354521196860303714155846675275107657865038204052732462395361603925105677633954399216172407183841443973530123301038832594783215558152144045221223097844487173229748648020263627275534240722726219686827888133331737295917598190394335011603855241508150394438016299846330371825493752987536974667868989925939402297070384805189692952527370029543018053453698204091563077094949122137777909188811793488109372989693404397108509771958526220977349125679472558461699156194263514477031946944485124789255265625791727357139874776582425346290382229205580283806923479162750055581504604085461398516850380058602919832932453923374890561346068749548238866825744130182172060213870820722911397866209163815466398034195491608543545659818945121352415740537045456825002169800599583271969887111692100830613724404203475143104252046499426474202742580363451985916594396986809418362631836103156330428677754876383469585064742229850086699382850281654145792766668454231741113872688955231632986598038118653967210926271730484776672519155971103184911179669501106511208430229964530780573803958551660234463805391410087220290252049832384060319288692169877004031986298164425956832243099316971196904543565884623761163266331325656115597249378721983268259281456165001913475120857545557201913840172803148674948549540031626265830602828633251189262983089737743487512317427678507931358722409013849827959117851569955339678679588903131639702382037955460691479750601086191121248736717307637264836754549043567397780779649803610340896569862247660844293098925097008906923020724160022860913167401230959050547200877095788353146857001662195669191433947680164342002646324361489306181789583054276041245467030635819781776741586544117184262012964291833240650920482140560557232345463937654054779175583870559442400891585697871138544490917280525782992986650034778520920491015342443092892070708604235824748209883806520914598441849249749335669525516493085133324863426674219736595372125121435089038513363176471911175691320401604453131203620145710973499124146339652850050533652406668074633899372437311074639035967735271075330440068347196120596821570926285073614122372967878088686501009061118753355579288775052143319761821872630596725104711629762511293718773496084663078574122113313907405284488427386670949493277208914448434945068972695525950384613500963876545059113442955119051545115107756492326232952480542103344263928693203363873174108339852259247968009514995261889501967192994346127903646781179527163347862826481731533687460273816223771883863568705325197340408194281538887262072981102834447863488394020083471894230652144579349202453872536338284838980439075667064910312823743760212039788127803141446617482242496764173429757035937830404672565819665717105703946869571842344998914415246143326126935125649026421597931438889117759173619991205800039294553880423765504724469328596961264212631456620562333665198947518732750693251172855030459679779542575159448354027554456597795990159608528341878314531933327655261715561095841123916051466777058009185032183791701354912129509393962062406390005907470808517540487226140831848126150313189256110852285630860342248696606383609066983030999607713942042860631901441341593663354246601651274467906606057527901048607863383519082621443508602524378898111128774910358838005373649308793834627445533375159134704317423128681503354138232869708548194052688522067010488974662116692946440570404744126663154060364015664654281825752107046149858806950050340221631083400362450379163440279101907885955130081156103648969
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 6,681-digit prime (425 intermediate primes).

Certified number6,681-digit prime
Certificatedownload
Certificate chainshow step 100 of 425

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837099321 --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":1100000008837099321},"decimal":true,"detail":2}}'