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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 #1100000004815173828 5,357 digits created 2023-10-24

Value

13645402967736997607778880220877756431696685179217973656570229174549501077730120831290578414409071600561673553875839747377697458731417315341437651992828245423697758020486513181071029491076967953482710544728165936016774560954804482439093493718332553583036020794790927334734285140446771476025824532153370497460275466442281663491375333378963984103427081940873903761226765129682059949030154771326414402066380502247115019103231727195730713704319992938890965687951331142817369938039870856506689703838602638332334768593151262847807873797834052228645635735565136926174294357177891487172995157683861176730704295807740160767225119557230859461939225820166418318755243192058977858527453383983930213589268687591596704529197092420147679312929886318742669556736822125600298344043552612144077843644329169565544449244056980624225278871708881626167329294609693862550277452123463687407526184266931391975778663296095527404904842139083059910130015573284505731655079853843200465393028369744172065339406928843340024895167076555824048828773086842648360787071181012320551739862800177133292893743516050525768568027834628252988692440939768796691275217104779126340694353634932394399472555559647672466528567501178001093351305748894933089324276310394882240341207343257291476529432211493240264100921193007556547344779587522253886794791023373523900803350452671456759818320272577888813298503821343392826508038312682343329988310272470794549717622272322928202255696995280228145999641885585993842681906702285424442154404011016953780880029090463189415616840188410805358490536381725937664321669118256197809027638322647043400582081711173177818499572873516941063331511984343098745543456688608041640271062262382641458446628888291021460666769137798126399159503057539231882312936117957916358406684643906246110337676429726094342465912161697497382185218044671101011416620765106607939235469698878196413902085774997914950676015355586973879137026167266077211433301245175226590839141098328110924755561961447335424965239248381546198071717869333964044805834488047783373583160926407154892440332993571842310583304312635031961343206081381704476702756817721372836965667147477935267847434991743504400459695268238909554632789524261484904377521005907883785300551114993586459504076354932975253971194135198266128286447211441362515609692915226424739061573512974825892330172896823375141842381310210553650114366815513140232053237036672156488755295775214741495611256499897842745055039780415366666121668799591131908392430336094866185053838431601155019110128395590517814843283323094040804997177150611010304050434415223800123543106380064967176375790862072494972181866047562460720622958017650117223577743938444955746697139126965421486727637430395375338772836880304586244924583169641972744232105857306279440285743747449102823245495443216969000530749533635522621942834428898666018591266094408787941709109864791069545425042566463145585596068874312812489171077282356256389710143564921502125913276212268233863630878996811214697271860346588938895663482300741285624467809598515640771082625044459662054046120529406749275452242611655050828820136413470713475268049066735305360992026672447820387089190411305540008646563980724039880704254782278103989763739632184990276790214459389337671885701390945819139523832638053676811295027073880677446578778473820432620668125153084288638209079568541755649669243859043261747768601320971922981842285854428298827825392454907112167563515236940803693696802808813402741146781260989456102625810950654169603514786269277021435235960345464107899796234930630933459459541621847835254005133344347010380365039973665552796915317969581876995779864977770151771405977833685470007819722514209515077806823525313905741660434007015889462959828108948790841270361054975011846756181827002202123518728541753145952478013687573494541627434084849737904105320047293788152711506824055864354686005649665770220704685407188149117325135380853472905287470377340677017137540865497828956835040851577816198959926585424284540472344932491817257419574438368127880303201836557627570573971241135758945919019282747368255756588977210835633962501727306332739701487568684110962565014030721746210651101304965598159410956383633395485460725552009208785687418665307626610005985706632809127589383305701988923252016026341175552284761918668493145590968109552178645808553257115260575900041525412896564845932535298244218957204383963911009622519772441002408499864415436115586427722359570034992702762694292452572358772460335131809906760290347043410891828193875285943403559353953894678027155162909164049218940007692676460969234116266672041092296110353521780600863804272325273536968205967318549285080865485036739143576431327547142038823767046189189219714053070377683293222202747505996177300510471615368618526661214350280382981721871423653712586400635141126508786803988324211103204124365377311514990732302252929859633585653321121716155757504912984410942875243025985219142972710612787374836547606539694353421927011492596941942500415400441337657277766503682694187160710719521361329403222097161323759537699428721491169302105151483966033492678422202173684001089329756888881098312732351822664441957116927259638470556955412853641585162200164253762494470504577792209118968652625341836246626410141752648241847403202331616056210842634740800188567384548268709087959450579851463129295776288431090226902764261844533840855912086809222357773549675353126517037898359839592343
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 17 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173828 --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":1100000004815173828},"decimal":true,"detail":2}}'