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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 #1100000004814104196 5,584 digits created 2023-10-24

Value

18238579011521816753240802690461220600605165681640941546166447174689944969369068725701029206370015150529058736676624093320072665253907792873910049834231992227250235326217919680619380031321817166740832390562028190705453531248930707481286810269914255745159958221200259456724310190973565787479546647237662389971122934402363287266554113741492023649465502406376949809591005805957718919676861416953559803973159869755750544966611111144969527245177037646882760917450465494263097971947201467636837216068913755345166809896515744366014077762315047591145230198523590253521818761772892269682290602964968209866084968694868478946660611952059800013368700186267996086136830745466491054808209475680619246774583954141142473470263678432912017974132157196825796217150066032115233271802383477744426719712078391726101027693126042824861911504163792517059178306784479395126767996819601397327572454799551009844231515311438666829946780837657800443829527645741533288374177956363711008740998291392558897810208663297411255746059641653875034034329671516964546655224373076271019231278354405778424575118477832364632032251689744197404373778995436012024997648961191064916052206053723332264996537327678333660962250439533364635592213963113739011700523227377108148373671700990849531141286908940077184520791566219799048706939914135199857583730057169982313824132958665733040619892980518968279949061496443694176390485168113968113290206816597936113307265648179808872845118389462915621120546488384542107161776241656451232165868309412556733315850126881500642767090184495094403698438727514128958201938453781035402455301167098905398377118611496831023339217274536880698945686705770843305396542719693576253918932176227156258272155904601106621176564449740080153857785564970082136870176796355820582930069132509807443489762759063124907524007904111459376265307198075255568592930394458614414446462327279591449487153728741219535754704393498189694466981474047398250811297000291989163126431792074485108239252376413255228178155220590416488944266420311494981706226216486527093809948611260663418347681935882733725164681622059563854157350282356709000382496211488346704583247371496017710452035215799876016258154589518947633663179659361019668603542009842135031992421164122827498347633768657716807785850068116325614926471775108029794748374090585701125084811143063664064971718076088628060863058160290406579014086765436494451018014063058422264255151817046137208832767098816391789875339842483754379474405375161139764473046155342418502918910676577521596331361294735343740715657102573806878049221939979627541472640391052728666735394238467502768536909911799532069406125065219142441938472842066367352708430182968489313406444324889129238161497808754833535782451502215359285157344898220209832747224342990901638785654594868441792236562415415417353487069308925806610575002021013893243298524196834565434246396600783183052241199980570068198716727362531926039525747657728126495604712398320640687132234367820919143561185764194288479133418595964558964266613133285276196505239247725987281087042552631200485090098619082646368881940630366581617308746416628717875244933468217553520372734348569321400972057380479155118908752611930117228771714148037687624020279275743626287624529602193174431052729722609142578569817120801256468793171721380089296565865402250038275783020282842962332912098557846294725845516821126502332180468052677312055687769456771408996334473748730610515384267569047428211187250316038744687470555517390999775810592584757458207069749716784340414416118850947181187569833837014113300737998119837169103557742852990014419707326289106062978360157264051155885075783205136545733637905728641578410374901462869153485425284671244526355597833895500935599493940213264222931011839490323757292583596596347967912995455479021607782008294079972471375881632977060383756605823528482737688325985761628790053638344147191669545345288495535560556534066246870662384430401224463261948479765051296429806324426681678965844728767075015108754793729098486265082137431386096109297422153327032579762767411604139791362654189976059613084492144955632679975248180046724508910581899679084515890617106493526995496385802075535273093943739898479376426909347052818196099732559438549823882018314420490453160105290676596729843922337968213606336822055165437314164269888757939603727282074351025771381595306039760075895953949840221638075045425113963652744731222660209977073142715122456252027721352371450991884507155603682218671076048608453835208229266264291013093402546164483410517203630824117721363602818292007620357337115429270970331433789255726325543320557438710885495450938585181150484612326973103584776071064526240980307309689705020155072693424561804562527420863876650842978955233534753964911169143374398284973191626101905884161276421983011854349255984962850519280031140382690971249413374242308348628050019885069531191949480657490327113059090954294832289148053190291424374065451976540457536322096894441372255999719292231868600086339802680156748057266524845539711658447001871103436720651978879940587266269311495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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 5,902-digit prime (670 intermediate primes).

Certified number5,902-digit prime
Certificatedownload
Certificate chainshow step 31 of 670

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814104196 --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":1100000004814104196},"decimal":true,"detail":2}}'