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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 #1100000004813740131 5,704 digits created 2023-10-24

Value

1396036088815219384447940840290508541580828065328860225991630948332908652536954960580752375245198581013382763128256159285456857488390192619176837552581822366080835716114379835478975967723920611470765106744907151760637130355273470753404836090250002491048650204998687082095803526092372696176632208795841334648375381217727100088175693876503151507686788604603744626482503664047042881424743826722129430332414492473441617544650409062577745381503201901872452249618178757900273833849908653577787819979250854588403423094066057229720078812438502270197872785745205117925540688859250204200288188595045622070793028655067020738139300243123118729873837009425056090930438140447981946451771977298868030148731181343702586164328495871167972195485852445030813463310200419447077134732601006529502348500802041369311512896058610314563110571429766900280785268633891733318994461719758403143339296301169387235371808387619104071961523542315847823006616006963579655221875218298294875486411800901309135492618828217284532527339536093382144575530630303784703962373739904079288269781058341273337588258851042611803123606306609595612471927731908768458713916994825846719197941467525888823933192536850303460002204937414638683519410800313485005219988506928017361446518611532428418128411836249860315414731896092849967605730033574576059065269870462305948274398360195624197679310185080295132620376139168480220390008926406468721342890256853088745542773023580049061089111573958948892323555778712969227710400955694663666305858690947988770717188543357453754277972825272010043811894007179824340340928619243784907291130794845301188221443174630120921010138267689662564418530051773625256739996183784422834462100344174925168685423995994047349105151206483686798075114333048267268088439853115078741840250307643130887787110554656513174870908879702684310274647060282636354829675410731904784996591320931109631359495956761998154117895057155934693177345384742103379376520180083180901539892957658130772604160210072335826251703603585443883568130774886581701627006493434840716945879727417302731697793693567814889918394230514947138081460379735528474406768471018250122003455633616343565588392208688270015175323066876096698952012459305423971756162345075180592057609380716970211132859923676327256478281932006813253425420001133953212496003732008704767498747249743698006971361241580137811202000495882926073535750239395524492399865700525820437156974568559854707038315077816840246589309859014669607317899147570128013444855379932689533156430154577731122745625715192667933129527307530150085667494481367064292838543164988836052622293222409406235237353150497613195214946204763557500829703797593455682928578026307173741570259579667907495040806924870020492943888055970457390060184971191533436411848247593634534102249691794349193707745705838587354480556074347739865291642872167660243900604644720998344084216806070523860523331430553409421130643009250676054574286265714682023768700653539804581659880985770519152209984267012172781003294301020583712322123986995123182139365998000803035651726989762750838261955269450908119400591665799417199487049648453017691190090210543395217594838559615853163800552497182225103029449635383790309835354689738250759887313485993358661873782443422032373863185880373380015314200265004871966840873779637337139547384107019654351010090265233830484082423947459460972086221000758456695052529133232198078468774048749227412131971855459668400630874450817779159377343238469147108683744748106356173670445533372249714005020921550922483314538337500321913842003103066425046212486732519750558335877584203196449189979933797135328997861146890866950733120964660568915485117932919080101910916400837597119422354155294284765205581085650546219624635880507533819263171484801978362990620546360472255527197292232816429929209159914077091801249123874490862166744712574030164412287458730335170322115244249017988087333264274633532693983044487668096838960610579100465990188381085848051888213960836978056182923783744703123026011155139223508271549032344095982524145800980412968229242228314865998871104561008441564505223014705133610484635722638063816285734538526876686215346469733559038721769150529745331577342997350756550663289344664101814766038564746427718841871695938619245084032538658212618984920555204446078805756153647207410486068288655682624367406249983763000374276947761196809234909188505074776689391168425492972965584666480687326950602611944579536333366110915985289398787441763468044857836350398606994847763516078287051152736223792274827986839500938001311999775165337705470416034874641141245201653467592344570819411064734866603268607217915237456925995239752712539467030217215890040321409784920311156528019529297921089675844888485530027063364346561679161048495371700095343215247124985993143495044542838875302843727575913208632474366888066573350922437496203598512551605675948045714725103432836803607461067955308506036357670623316985898904550015605861842954479985981242643765839094111098844364315379025944727573537341793465442433869315808945865795447221128256535983824071486439122575971114990509524365849438254059540855361153712399265557853067923134521920038432165410800238486647082879350606784147996405882174010884141527757556722556491669203445661097199763893457547394261353446110163593516436197872771222077921116516044896049777933441043563598078395507376237843823879874243064238926374525323239946371008548788256931308873976719882932774977941128450797677453819875774102759697734741799107302011101024539801206800201077186019454742267006975604516641797649624896067567896005769267593846225569018178452223171745902850268619311906648964196348216598509955057496092798054793518476906884031229403622734680671096779618571516286919092894436005387359000876801448117315923432430770851984503
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 38 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813740131 --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":1100000004813740131},"decimal":true,"detail":2}}'