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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 #1100000004835327153 3,514 digits created 2023-10-24

Value

2806514253708303369461371820271681202060645742771406387329786461541581804357609331113735183923025491241325491600352297531549477883380672183487243984854139173792000109673702866333148912829306855950220146444443617758339142961982721307276506249907967589766476059759154556375559175016568540482235538580652798738806343717055885754204683022388436488712037912718294173827149078712317386614913784070768641152210696997313116910467989969127051575274587556713690220407045674875171449129950400955142025495649106207133818240097378627334187782793611817742005387616709308646422639944392341052721897195130416798778547209604194953004575298178817959344752218145601511256155386583020046910799457351405689054443709541358445363185032884461218947583762435644015668976174387974606784273159065004653119742426474851066670955216850889497879125351059671279271662727765387368164864644621841504339783999844396047340961071830692827113844096027620952087402707957364067125545761682120988608346029142410301109957874831051611287224812735359666830090832042067013486027749751300615918574773978130963345574356022281411191268526572743744057830046549449269301825868468171285015615483636465885308729169343057596431944326858446856052561072344724273897619807073279943609246684768894173207677832608578994091252947258744979694611175188769885304792145271076012468720005070222076181222752971571066473933534840927815532460387511449728460492802530374321954710480847212491270425858405606192215351971678491611789033064553730560384222673816675316744911732849190474045945180093077049827107416339759239601181963200614013671886532545594369136390195612953072991545438567000223269892438644597648927464220765835489316512483673175258344599152186359341691141624557108316953141952238257262053228408228395869422878098128738354648793761885688608345825430376647911757833793626652992185224617238180577103605161091047389394201696343602172399186997757388760083520431438458816716892718693567960739152586281041561643266542324969344193195196895846531835737758734506538643798102574899825336445084442703983210609125011267720687659638713524732780470505760032154253019965538769021045551344035947389462128285219366556014884696857534625513165615627528170439316810306138572122918374168001350814841762593565680251455382336934300186451867892073715673561038178877046410426690545846949266593839696065134299138724458376575673095700364966324664329568186814870978202425578526353976206849716662306162650966872697267949803670307609514636817959985887143527016988016431930791463406493572587633877377957854961120847322393697656541641392932312250982373570136169275279060850527642260139075199024060307999083369038770216820178566630063579520524142451090274505304086463412715242478237859876556700018155542734748719209559001743824113870076986931301604575688260612806570077980474234370568644992222803945417017162162952604676667239723106228849993463937956768418166804383535428266073898014221292350765889800244157326238677791226161058157139179659582720758181180392708421520626246863375881034697490973678653353287741173252188508636843609123032523391870137863983097066880523020947250623317227238993976389276174808333057168199968471326276858033783119777981558537814594754873574190305060305137178448084797400232139718885273547471452943118762869399966550162156954633199730252473925851530663634166080520099545181335035234136302446646452421101243588898829840345235531679358722597806379248034622387868088768889035620723432088517074317763059145267381616634922707694420825422562731700803438035173196583902076689102642391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,710-digit prime (404 intermediate primes).

Certified number3,710-digit prime
Certificatedownload
Certificate chainshow step 22 of 404

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835327153 --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":1100000004835327153},"decimal":true,"detail":2}}'