factordbrpc · fdb
Sign in
>
?

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 #1100000004813315732 5,691 digits created 2023-10-24

Value

414190394891981434999738453622476414877099894212713662312536019360392777391617097342164175853714601570916470386191761607663646322555024575629429892401833114491305687055772927031764402962719617982100820483074118548133754071523765175794503601849065188164553240671878047282362830385990648197480818782656049298027750970674535167706839567181105107866021410241551928620083148061356347992044392495606506816298536260094254973280670031575441024245026846428950066088655691645603196624578231414063453553529930712327048708212932933941709106104767818048062075091275793937273911987525518699519181995853521574988222879020518261587159667607310388096666953710402416524489040335722006890909916931026325823818108249492868583034688005556145499391659472152008922322619092245303144888927907776086990995340860377391983506622470130565879865161733799484797745136447637096933453895553768663590077464265993206079875918687772460945498564949614344069506224719058597628403759688535694695750383628203516725452273300338584174454056081387119147291172089326079737427144841191428750625785101437794770057708901712181029410659392276058011395933460841067043030736567713952350793211947353785575700730160033708220715776762102078877673723240885555701597435000749659582338582506135005112859264944150015160038803748975742330234553439373099001285580661910966369670685142553683736242234586959804814060952667409065269958025839926070617015192365849179532403311968463654048876674133836169840580653788600890361663783592243170793987767625002993010877313222438445942108330970367378794417409716053785956644143747730719003871449734643702261040883141318286484746863472371901427942536348869930142404939226462300006193359629288797900483601118792859722799900266848258843012835839771580897580896882541210309035131433065721950892278810327943797473331365706350466575049918424233826944463481112326380125282860589053720845592893434318642723446072432450014337148884735584063629592757906021387799581176871710796819411916950241198228732446357823711664588258748122741732371754957864335241655765965131851589913932956805976998405364628739967644819408992880642050483627002218078320130195174071706327087145478660687641022167666244804345190947254682543065627209231792728923611313189772957140706995130786554470346647938216138926865887978941539149323053179074359266675120017997104927307996494382746550579756216827700277737143007457999270878056640284022515494873358659167818681669320626267991778345060850851538493230891093084868245208464063440061252620023627851030555094041812909910422015198011397493545397473578069539892699084573489415576564199583191419587494307562866319900674064779946520637473726718977193162682662742143936724443738192502837194257358697268902517148807160366042769164544325108952955698365235556112720014080182416805211734765895824068118994760924992300545819110779163944736703954336540980497453789988640267461525677910793889088025614511904459284973595875573251945552066572891608908864745272077300712948382244698553619594436672910282912364463121004414557572616025456951555811983537236813548900582661779186537659747227408420409598414683321048797161031103803831005414604847035372455256906805389694072655273886015365670013895667507105399234200681253990413782579161926081035023702043030857230879168333295380755703291725811364808220438989250880335274972799681669280603437577186664246822553299501531273031511379150915442737583955844528105625822910565309093699826746354210997287786545040370455465362889094050870090784015934122305240904193364607339402769518682896500532671827745708852511224027203683173525872263845754217982920623245888298646321723278350673344637036495069664872680396685309331546728835521128083176709766484034497369292749344418848732435066537802962915554715502922318903485118516907093855601668871216767118221954172386479749300814093872955614505522071901337175010950188321283437546021399288248241948754090433270992190122520529704889026385266007683103844871857806331239963772615702269514908306569922683909630046467939728188405375274407620857247415163502848781879680673471917271200648034226092224572589561269037492521155148883491005072619625671012665533522291197560346740574978972404983250766316768704324947953604197770403848814654146421913534235691116316592858470788621995351889156871173274270947329187545616930257465152669077108388795439083674185034820377573843116226361264067257440796019851494765605634895376218687758919086793672364004185511182364819324589337087982353107921992909788640541939924340583890953312961876587192732156884014551752275384338811467099713863463674131015955733183444003454662782216125858413191253926692981594869476537297529882352112182485333928205628513470203667720636184923498440337072165367824749998958595954345945069788356082677775371560299600339682580547694309528437138932801939972285540917850617303185546597919460150964873371462197126422057245154617573775258720232549784909857473364962168334375073497820855852369732135999099312237722057005929144614237057554575374596002507639253992422535241939865571197989390376130146915149200214014634264739048574583268821576280443237355162854590797062046451868070043329605459800414567522448266469589807491530425396532616518744126131375549588671815517984329104923517682160279443287691986982957644559895027910181185885866335523364340434182947909481642697229587724843488323038202286505599280132826285004735891126180269011993902627533846616160371506596679097353071933788252958122941308097002712497628394052165183831928990453121078091453780374681819646793926479262496769841077535046789146409668152951289516171017497174322646964997457264633816273828025139728486017912386268740380151426093362862515476423898808427516201530161997881571132657625501676897399961473793378075208273730559033
Permalink
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 6,769-digit prime (446 intermediate primes).

Certified number6,769-digit prime
Certificatedownload
Certificate chainshow step 86 of 446

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813315732 --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":1100000004813315732},"decimal":true,"detail":2}}'