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 #1100000008648834714 4,997 digits created 2026-02-28

Value

58170785266328140244220215667181614131645477181722277428851710033619378102773947271347494968128520657973570118974220823552790621662858548677313651926708703845558980158980277500389852483267561675029932532690365763623807811139827221555710586190827190451237323037588543370922249645828691918906586600493322950718441789565863215526050568267910814902882156163856887811076163227331764768396555143041023104663495276420192774854281872882688151255781114483394832108143925360301926000588435058575816379120650820625219832530166040376819631352582332118309708922242364485305579777714067545304329599575476910867504530494219889240859581137378389398767874383838095783095777258597960697421913250764781262457386894226830521047311602889432597910669742143362598939196468907137845654515188273330086175828191506104054098827659714976638033394689881474716192359137550147012482991357174110139071847995404089039449428391127664577982813907554334374208436265780039741533601261472558091891808219265210650671905009612920189009697120643364880478827597052695663148162323182386296193739233459281954796540232149367272230917663256352980638445994210646924813618161717600677059540712475079323696056731957920070848431060714704147574376399822097009755370401114866276094004865738871648588113209741193254211089239000600350635888257118539710051995899138744126111080090395951924875112393922367951894069565962068899628140174496534978654885200567851663029875359441057208629987112442434685252795088022393855058187045998252130382718046240446528602263604582003236612893337154495800447906833498382920389159430958648313893568468061541684736093145912012406591361080171736636086677347437644058733255359087054635853051568212394526564687869589892344692555550227423911121270655158894826301419260478046280325046496549865327267111185641522420398670292376549366397642050441435979415237945351778646244503192391401400540213554310051600264175725428080871512708907543427258029159590278951995256582018880237046766292540831311981537013493318976219573984770631302712557524296606833035677588872424351848367651948938883532258909796100813384245336188919034115976230724462631436220706589426063484895803548319617715963861572266398988678717315340913192022575216005150400890808007423685244595802584771031377166049721095168420854973328678321992216373714773299317950054837012380738774490473435844598395535709377109497960208399220239159221215158146560361495661994766552871898013986510913095297461361545353209446715365459295846308266385869859968532385260729952580492435389857738975843424788645872541330686949745098973357536821615043862598775451822759067403336440139650813993049099110785771830290698394272658102879415004136203856779540590991978205257625763894424645686843671886224520762954817180964572681375826516053444376567702559191774124313954319761838709119942032056209224108913401433956231015189251544367133624866946226030681386355468771299939998756982331897476355599693397009119341951067525021412854829293529091094188680211467323246001477149025692115170325347972062374727694813013937605891026657228481228674512966410936061094866247909323438451414677721127925735426963936251804522505303933638440269898679924497380721844720877626303942195442989951325898262768235742617077329340836450887489278116124629341562456987037847255699078612409287019712508257641746055194211451511128693580093984194888225135330354621276308014260889926459569684037106780984869014603209033919718694164982385630099517031521901336667462705629864978671156337530524788715189705027034257545667581492077078066797769768397687495158019471998498253091278566578013567566128385930381267559916122250242807569391881796719906591261385992129040123067014271334574890858772995062104040537227849272387740479024891675776446102213971473541058299782453338225194690951691605459387145212229564252414793538856288585263433983291700297194380234249994572315602083332401106116767197534316887218185006858638814036317367889727054380319924849671800238451098844511714094864558165198739400390358546129668500737456796092982252490656474795253889782576148475068815584720535712480860893274352002592412631595585886178986296160498664306697762649907787233581695049559821151434144655568466219580770365111078280769835901580692850864825482740936729204531907760953920783152813146375966752629644134579506458527563190246615544494711308875781355780417532038970584379176273376074070607464780440104739155190168547965996443339276016448505877271509084700045954932457996832811185948125904706704239197108518542950708161116054479000888795784123771668791106899156131902065814219006437226616046392124348209417187514989389582127464237305872777592560751116676714044295045675495826268561003715044662905199536789484480515890389641476165309387371314592986928235871001013750402219368888576705858969291773775275110495524109753707463989723654559400516801623996306358477522602160423083593170164809312733171249703700381312637529920768231782033779639850578496436318139446894366593936468482664584623677875103142012074788746450426136898295610412317995979090813761017017
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 76 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834714 --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":1100000008648834714},"decimal":true,"detail":2}}'