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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 #1100000005816067471 4,164 digits created 2024-01-27

Value

256471216956871107454819959320354684879987615611279878441160431643169842393366061607367596457685477552716069949940493990281108951661202520689937825732953293982384291587147453404658687412131748421299134686977185228342160375202109267557744403214643001377961768076586080765898786645689559774972279779957552304504251802644268502787500132841584867330523425549040463409806605715297753997104150150277096231705735967669492788814009029392585569869082189595184456655305610141744742682700272523207191356193524201873342019939003942537353827916935983739519603113675519581990542340935944402986529588795776044478842195538873189965179383084026055229405711491748088121035490433549678327114662849492045381447386642324932274876540386709868666046521488977747994874777064318904226030980085237732396998326166034690630102616179899350379936264350874475575032256040017224301304305625366392265908067564106908892170363202889922152156517164261361906194025239248420366334401800248690324863869499265810170047880227608728981272040791234109333272617500074256803448364564131279602306367995263555448517336858578973736341158465510899746868851009609863907283739939916675627632840986120076588434979314350197636666115754442320072602682856842433232110873661002052136198040215661570988437733300537633446714952497269567855241815379903202567079883987966973384472866995553401125936601446886442247837829406427699408179464048041049951828993560804105894785216201696724729437828184653861743339724026837390403937822834406898383983037508177638650415214949883785009505326058852353089207121656966794231980252648778104104906588388942206242179087591747267055545656006574608776000066627094371036601121933307827296890555741852770986409225475980427278989581420539483654944186495716433823824492462534526186657462570837024730467221793189210732787487405674892068423170884405986773820449880485926792855486699330186741041788805924227576162121539888855347200768416591982093859131924174592762275339309510884866352855808980270449997241965952379473127789826417528439099605229666457772013264286976083896370704338295976913952420666703457645836984086990307666469811058199376808124369831177971301868196888784027945503698683768388438656499305875602800110626161758245977419195281875435301952455932103749248341781889385023065133499133239672967818416830924826592255672287164438641586771065520254245555582668223191673167694223927639325717702069848049391796230212636191070219130620727327541099019652213375121899418392542891238855381747078613859870592994598967089166899519868267127635770246797704617787775464609957205854095888364657129604769567819703380976072500068939386129690461517283702225524520003404145104225610465867320173114762400271251610572583558612683686392223581633859783729221898443299432781018106623494804037130695246579345827502258100808299278733851713144109268665142370395127642683583448500242010873799304096033958123254142967732394056330888792753154014900282629087522069889390826129084009532339928999056997370421417015970426031068549650077289671215906840628165105667086577445672499775825158250430349669337004397872192691180700915064568173522160237616516662029734949076114348681933283656398568102041990427819902217950154935784061965195546454653988951800362427242120288617811308509874926154951786378466202552805888949289390033033620291272801373273818906510087138376279708977310912903536560869124220883499957983448913887645513197358712435589672906478948027751598633550699825241525423240557714149317473128594002160440311703703189076813003378471915028129737622907239938992789211691104771430804023936329851619118142870081194303582634745523272095710298310263738976009385083528949607400505534914586786819511793094834434419145833002383206073053295989662377615960821926180771808839294570721889174682951099281573608238654690541647851997687302580259056084201151730159327279358579046427437254578985800415186939948582157420433213417511904809034237570269763161551870214181726407963312738427191886479438094718921140297188396676557372956907731864052406059193869863653454434822957519436817969802978381142251650777082737847670899753564224305334659883790874225029496879040651532043056488146394439216473733153897211432959269741748345588519476143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 46 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067471 --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":1100000005816067471},"decimal":true,"detail":2}}'