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 #1100000008648834639 5,375 digits created 2026-02-28

Value

23555877563563994895837555089027895911143327087809814366723700458974126847387661825891307343611488667672352286498858663907393841160089967306888886459996519126161557155627348713233988114718470657492051205982936423793045646086480339552447823117831653088555525135222776330966708411138589096215282031570415123877893853711475842798602221168277933019022035769452247304846987015395459314704589315521687955400553133994804600565053008839137589336157176107749121812615451001230947770620497358801770170451337592559444080874708616217204666825158961179752040035871192119754197399590058233971938321299659119634848471726266673526883290705895834905378805220587712669209373962194739580921370471837120775759812861959347129582285061631358731839666015360234523413200471323072294673476010332193896489556109421925444131293144475971828062888754590013304501214709674827090540246635230066015362509570744036131942269532256323904785777809935280967520579382619748866738790324806351205526934049838705028955652901351234148435724545426515656268836774421903200342817297307899966275976474403618497653519288435799266499822904145663286916999499213373415413763415027401201316428329596314835395011219819729176400782560126804219359951260117355533385325246238643194744655616693110075188417535025467157846569404121399609167910496557266328627955578696970161398969512846703139340878576324303972501851403240334594066839405861454523298175770444236844238607630592307896378602700746764291327296596890803138258638672551792500616555299600836984111038662723128377782271992220015135863353169913070969376447712742171989062301953260485154584591388672533323197314034608122931355640648176395105937716915478144043816161465076460802839693194422903929572734305622011571561381862188656942475093445420647433961889325994447004177385943163039713967435082296154819785659721546594834322275708353010326215341815546055284394256747664872802392017864631632732214705164716118598455176179297896182698203446776098648822779017188569608402315945658022631168230706588960697387561812827306077754595717271367230527458224764455252612563767447991113670921902393484373228404905229108458259030451060691024783642241644965372678258300194439020684604324113055204763779258347843691618428609117989284977253021351653577093336932223067177501426746622512281788323991216454581244435006527087841859772016509991456873599261345634594986960184192773072803564806514894064953121596996749601892179240458804512976666298983906734945701945565997182511915251292645956132439475514230968360547605514769073095307059979610420179725433315790886680270935643137095229837079859323550535344885068739048658790088860044734363535083064755738783353753186860455955620117919305665197090364613368239921915753329727796800955705786536129409040217757003497314454580998343976211398376898934404691843816823420723865985077884099113792740180006487880795543792154285890095579215780732204132633277976109697702654313604574656486897474639515985245801766371072076236318883461134896356767804892928503108480245054046888381088815561241382341278781974912184289475276866127769903673539850600178170143624019915068397998330019080540759196276714905307718840459249573922211693197244511042653262671398506503055709329107275335660324855126395965497351264008118119551853528154667871832446453748437037563867764847620844345552334872516958454383142979129667015877658349537579076668981052447120314198624002592437458103217990449291070011418553182565613693581058118687184695150393936368715566263078857797393770572329660321629020614307197023993311538540568177266931972413088678923140830685886026602741522582987947607992210810078108242435801980725341052689981035652244837682753622933068705446134402297268728500350117389726928749285707907732326012465933657529655405858821717885144697381304122389734573163288493178330679247771729207657705075525329446796326892884364360744592095706329684148808507575879642561504153337851857736245590294101845762413363167364897526935375304882940261575658527013119445988478308928652138941838564777048142044467952972965442714311448756715864599038840806149446065222306396435429024797952047196374136565806931114898781497135803375320321024059900381566726971276627173963883794757599633158905362887746857390532443626750690628680689507391296699567361584329446409496063573599867944536947192337876289749734722469797706446395010498369172152501518089464655737931928702004823308154790507006133401268117239755037350222943457012541664387680609964710024175220928216453796539874397422561921120694941104086486452246034013378623147263126171941946273394968843557898304775870627199900320019868275839471723523545266637612611181146459350471478180888284709468122805657589490993240649646068642684170173171339225663397400936484956541547225330141842435601613238899868329268317618280826544580515730193337351684196174139184421107131312543534850683297490058807591362323921424056247399564162338852287905869993685465718083420283541549458514799312336021405018705402131014985301231327759895123124022420467064189488238817526337239733076980988832373982528298774362548548483286971078378940937736156271472993182017130642923322130497122647781075526438953995255476386807672954182642049532957497568253638588630639134879612700732770812391434971062522658316636851079092403533363890869748640880216731405557948855127095156688098079682675254256317222411276144361422246934747419514299733578311700335796128521963952840356490259624496968972441
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 47 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834639 --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":1100000008648834639},"decimal":true,"detail":2}}'