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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 #1100000008837099451 4,051 digits created 2026-05-30

Value

5834861583148771226460312100811541368240024546732438794641700666595843621273126936816921575678301125329681732721612910812366508412304433975002065835355029074293673536600232451138014825774705197866531582053264265809859694841487894406813020534088143411920696865993863684154270545369258781734873886144682744222848352605047849289722174506445853940748403567615635698867310157655136233450676728825380712431747140447264518570404167300485781754262679633244215857342237017565187898739556971667687468499004189186180322888740112754952918202787872339930960801413647136947127372930942369966900942983696266506245449641048876388697368853351866674552834803726432635120111768697996768716017705176329912821168569025354438145329553036451594191301414091662479562657542419377544212564061021099230190611463655278749598888550380917202531660814290950666917569370636336461838211428050314833223467635501499654990240153493504070473815369217241093628057615245325111690665643495964993158178669497462882680533798868440628102503675337099400233394333315465142961791417941891066342818030641233345626742446803362153250422351259650079142091555799042895130471833887497571831378965526193843161355557710463678360141525534443784599814471319524742471007839076440489858178982535346952656862809329950509081757124866236898563046957952413672292175255224047386213265346519987365614675447220190027837760221650260498345868024362136815839650618638425465830049701318852249048619813134095820638953674822538165161960496599430335616798800855047570928292751111402984038367624845916825737294213740394210995797849221983249330719020426927409360588017664676083876554843534925772790197915643216501142708839309357830068698977443897384465817318703892281407093597368585643230696142391548666261213486019375276486268558731280169867873593481473697717075905317224590418528492588942748110194152847073425384329599909717147554344853910834069600497035996405356935758349589130659930213477912967708803938379022806210304759910377869910863099808039344149435368458130116926954340396537213586946055756692336903674817092078027086893933313044219676755316328458093607044985850536773418760177797283333791936760610690121374680527394580359871302411735212099730896359688214352334288807645182000533663511313571165069000267403337748758060376762556588985759618435485830454824221801550296871846570509724300447131182931640031811263982246096042700313929986879567509588927365655839442074847903237048860753811359539622836316553045010660351806144943579106505357084513635482937510626890929119185867455891563817761956679168840013548672433220801535920765104316917167292402090985652817394175237118191434823285292983491785741008013011240602914785604199088898334654069615874343219901761856977876278615840261167020268317670950518519811394101625870495831498007220653565595540271924308845293825067504233314913954118649994053982033906032462082629764679238575290669769458390148136960957606152598059968344369928793020844647900604024627247038875774800754648467523288033824187938528730414699460900826496643924011561791683212459891822782732821726622095323446144739568965401404736936416340053227165033788750613576073090632892279934382725483999901812443517711725975811682386598644663608666793963971924652077098292338582732621439226293154736337706828924285851889918203335283866756322467009436974440476164675805634681658696931307653760631112813551100421983464103109169862897835783180417205067045324275352994381249412102738256633159060805412143542997144309006662323599998579792225212974485275987474827257304237931183231906311454180507319790581095989941528656197949861782647220521279000507403862598329531308767952362401373967650039489869918792174038016734212071226272338239870465476981916346655638614762174519073969212603184036055280923720422195177629485833388834972686514424859127012394602561621843793124038741162135554683504618060278769463318332991262569933438923441918082624676062750124157910580317113517004828063586570568077063000649899682416884281526161944629892689841325263989914572752279374483101093785336516125510940895090077300774314146931352287005586277
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 182 of the certificate chain of a 6,681-digit prime (425 intermediate primes).

Certified number6,681-digit prime
Certificatedownload
Certificate chainshow step 182 of 425

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837099451 --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":1100000008837099451},"decimal":true,"detail":2}}'