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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 #1100000004815282316 5,346 digits created 2023-10-24

Value

102023075973023429782522970349815359002482491038038355908630959397395897585641036786237654863026797383800064448700824494033793230739273648071749272886194286389856112308931189649057326153966953622318177607649797047430858060232823900631512826910910292075213014175841952970262548354790531622977485936415239677847851870799256533511385841826263363749240623893086200087917403625882813228857649974080691362007707004654146211076553288434769707128664435283749988821661049143509769667014486271584531799579633497137348423052694810276261707545424330021175305476709739641662947552667997129414942317897552286120183678735463351424705669665155502437239435624000565435676738984372990597264199633466738541466870621321986225038778019321616776216018332771268038066165646974348923272602830617602145390952119862898272824226085971090546704721685674222681789314193575163986403852564278325440854998186334385662916806878931931336063346496231763518285062520710476253296615197649189967394543132305004010677533818777789782177379355248219040926423552630563852440903556024952646445754598799416310262623954472849236320381212387171335639314777654356937536179712405624598783657688881248373569218695621385424877344536851021200451045923013015727994856597346635062310621142484931076372110297819406510741903204395567776764666894510589487793683989512703040689386002642555681991580963936516241035067983532835466678519717747429619225751659592963037184009973635092875104159623466433906012587303865822252483003663637378709740906458382418922789581205480470992124328844994647184214604185616022794104529323304534906981134865476085103405526602237366068850293976222432642345299815974078243708612874210810604021223189605886734796352973332982008443836717450611083489565815729438909870319575508959460643922154439479811841378806749040857392256489926523124219470169732236686036016340405357703137444410608928225847623166970117612313971060293553755701974272559876402203212192618509864433229115308152578488594595410344271951698601063996866470246309461220182344849931164922690325581660166358320969079291245268013219315145049264692817194950627115051263397509311145662446028771165044743280206212983182747534365392191759229366345244430043539772222138860335859461325553677139855736700661221889551846099669232913839284184250603355318145161450144862435418334045113613101616226249494899738567451001164775563093725257043145537009861828528777590901117833401677421503264665381620830692251732447718553827015236677375070305997703387596133060633651583573254418151544726413530661744122226660601008632810998180086644020704637760517660704303699122384979457448917010123483684839284860744716207264505237392679374508715118320555023156764956479870482807301438018666844502004324164275498606242405252066003611335688684698846621436698067501309807229265937749714409676993908042321329594072465231037292274573547124726892903141250764139297461593516595646693238791709942863496969303771925917201264690246710620665798284943679963709297032991292692024676192415239999937853447211365985050828847259557903921240551391999892139992017748156581531174619457037660290008940691001199740705950859383965450281655674190014138785345860312617314290218401882770203861689323663879552655787040384178894422163968759859269152665393188253047284523897529312945666741261875734217724203065997874901416594908400048356952057830594623233418021049356996753655647692177574992631511450710441472636693770002353892822882136892763107766468091401847686741520362949510455239773018466988486949432552106187564824678857109606187864780246973170192780027574972890266326007501682009771155206714588397634679551793368005566363910516154648978146764436313509061664573702899434109066825947885576360200345586584577260307578922655087659147484494642149466850186452180716428035402276752318425530958093991684827272631840286829406718110277612540348204464264138383818558649245226586762371126809123127434084024301726515572195745204508569194609625149501150858236342540972775553361920045473705399572161542000404483091032329930006869174502592901502242812482420621951203127843297600073223842930662955035014044598820583971604054361821770282759023556781933095757109991062681256177419175318172028953006973915573463317835448802368386673703476832241546934447582569280708743767986913497559607140300996071226395682548772100983961646758582930474790854801118144360299497889384037985996947661369470103583426821361761407571435390055683164629561236544964881207879280435087485234660596700676031440969369774911942781752380786735463941971545981944244732619275910319415306074093070633028722705827115896529535887377089693265678115601235564469117360204136557724469282599037670184969622996355227208592900546474038332849137795316984006088800042223318916558325703018429525342774951145021874924357685187693636223132971647408494478264631331926455813637346282693795715252288585759909120500633439274501308983253505570762805401322087569465991310890974935440382100106636554407994586821900468334498123905837422349342602227106745602626683064484543577975973179694589410102634270378965272125149798640668194949312744241537509601145711399093572599940516438408027012988967750730205502413028934189036487898259076883570992286954516609860636492145089120049959736230410490853225467784093520171237948365093581115844124314091956816287761094967307105944455417048099531432480706529977528183226656041533671770383651661684894186034143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 5,499-digit prime (558 intermediate primes).

Certified number5,499-digit prime
Certificatedownload
Certificate chainshow step 17 of 558

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815282316 --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":1100000004815282316},"decimal":true,"detail":2}}'