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 #1100000004814906002 5,389 digits created 2023-10-24

Value

1115647583778640447973014908907905280447612795240521284156086396184234548097384185292795500162176925162817388984703325449352605473388124985935328943054400775439121565808423168825937134734136879273481471573405118500106756295019503126654951302421959604024077948675780990327767001082727697620394634111720250673943809653514670678122593542261377547286234503846113211601704822252296268275285548465237786513026968901875105856507273790620291635161985801964121483654789808085767403811602410127010986756807480372837154645127140332294505679848834661905031250453609572248623532547297296400827961327864087091687394349400002942400267888597469217317181891716069743927330449751581262705286994146788592601611950810262517662510209693730558842841752075717509520093301131806597602380426168071230708782182984787569115857502409757987019791795257726132665954968960888953833581823588241428842648951781209240376015007435894982498747568879470325301043505084340490235268454261665061209289813219509498703598770339145227580580698374393705610950991366131924635737687136775420198205622963714340078343660314599256383803178254222251646943126177850577217945743225591312786175061909659403800685762736101607429676904691548312180949473966135261223748232565669397334527392006122803699432164725142321269218466867043704400452591575250825466740791042316251489739538503385770258290422294107183510875745109215442116957071407366627774496988761008102276806243625327238436102338799078268487900654855109581089416894339226120826390828852053745550180160622369294723148379291098313062814879622366257780876708512570236042225383933017285481127896646149821922264031612883072677881634978395084000770191306125204508973853718215913864480208559924942226877947241105282696311698664838134875740212851614609248752721714186538088940122486201357585434034928267542103570568824336637272312327824477132400628398916174322808167741453175017415058372446369770481990185748336401120589053376850989304078617443459392331320708241284033357984514967720921576575524869671631256721660552003376633223042539910925742433061359565125946462502756907510375721599064082190848792622878991361975049719884286890308264361638303607216944798977763713534594866124032378542826185033507514957053700060237243770550879716967866641068301535440866184616320600747267332188917778278092988151556833920259903347389045148728128793362517432852738852906143821062965823846575975801090648569955579770243917453558764550134328658185445694638512552448887483105716382059440404213095866327789438436701031143984991518720814877872218468094049076088594563517090598361103801041589327987626495631646434786556623611256545737041825932648053064410579220877855866847241770578313154713485042898760094532659751868575152136949043669750792972169486865809615299913693160689912508179435041763396685267821439305353548267672471162261056599248481431480207562939638124532664699796311841218929230357760992023949457799132839159133485503452002259843207069219572146147813633139453832181576478286378674325280794380512347555503621427695796724847903817604333501519496325867898447114465364198371732565878011083788008881723500357396151424397909568726177343636190814571415691900600576716190311172188903303299355067026327715522216059828035232005856920875692925913472038554603438826141584653531741176067429153125718101804032238542378630779294297603451769597335874325241374248113662987432919940231127021906134304966967905565910974992899189205696939643355180635938481836276597847273978740881063010727624007248776783689580306727647252443444532692466540641403555262760106999055008136250650443689542391567450292045778672216480110920994988711605321829167791245198240815819691565535457683101028029053508749929909980548165186623711012966607669892006895020735141885205785161325489877980229073161234911075976704796169758080298122223124220569550772245147063452008284917091513143151098943388331300189622661716936160951843489972514991377033898388777331470954665384156942254645158923126097666838511700436425846731903830965712813615783856052441791704865766777740621574499630484067880961052147572966366462774549703237181368538526698725332510231611863986100139837049274769674629972648559578979231445502914210248926889911258373155312401244378393297094540064261133065302310368700000565509379424722730879279091088693703598284361812647749817317158380016888679119123149228278190472635640604282660512859967742474061996076195490560390906798454928990506688590867988676340275261752424751669119804850151425708445317230938511512249714130908389048340459157115960219949735404801496409813797154208664097135729221592031637219023933139372118998552352366719779946065154022486622137516282650868200142497271002276925890142161319700386121942115008728209349930298542033905042980820148423021422817645821100381616142250744263799482986173081351902623845941265613401111346454937826664358185697068900119807258834339117043539605201277393984671568662603049464434907377676095240412032956602706218677249870768831667040510489575279408624974950183078616324100455698370522820061059476974915173446288610494051735348510668307923339582352713398766930032651568753864534091933339694596287065351567804959436755083845320101606423530004499533080963228426064450170874176800119930031913183511622373592114942540119727924711495562514797660524658425125082223661948952755938855283458313289521771435166661258501045235173209507171460849384861338123891755000512572067420356898615315030728674666767
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 13 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814906002 --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":1100000004814906002},"decimal":true,"detail":2}}'