factordbrpc · fdb
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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 #1100000004813426513 6,003 digits created 2023-10-24

Value

15790959027423156283667160622368469009228726388357773104680937034061535416854484310656866123887303380586240811496791158347209206197720827115442348127293257991710091685918294275078983389660448223351682269615629159392495948472000625896703123285220751489249503534659036532281685577595714682849356721917429204938973578043568383031274933477273117383968879627894370656524862476373210252121829877097811684930570782016682311903020956874874835250049776315259719985527888884134336700513956288529810250470067600320568325971665344334168376082002182698835493331595565496368473369800575200873571011692020131831679253782909943702031940381040576946385837999925787986284364062878563797880396036547482339660308385914933696652992431202684165222465231138005425037725685977896178484197792392434433112369897911679744830156592588308326035690766807888673043044905376522963950559288680464148285072468641202875757203737896176687788026013298595193665174556657004708865321660902255523246675312429544464391177494690692872327861869721471261877956908478694927835763364627333730613033101592780817803873495958148181544553147661389830050843593912414362631299077135727761242365825094585688923315626348272301654722117069474678457837531744587593881614903189077613336047788596633247745755228374876636335659656337112913002605206170543560408641168169018433363653273727213675439917872249059642271130509461926605261661245286808841654960416311235360559116804620730745165209794855954684261003510703791536842325515859249317552839338563914297892544602851902375429972020016050065883427153946046151697235136250904596129277700995542908994035573646063009428488362152056074004058079538206745684793530533004343847673933128829671476780893565690199690713825588355193936792274892049416839596598776483306699061102372954477280234126759136114835806715039427572737889158977600554908486760845843670686823744992407802061290226351161547755327820605124401497498710085883460029991366994322601245044441432173755927043554998106999133242207042715520695382531176443473343294734664011902121085463434290436094300938298250115565149141353469197969878896042184692199404628230543553634914563308869197197306522899191065169191327273669943684845647745855884671340801682592764320604967649764877561251852395226943580272803373721064193241401290761670559461093702190251908754746220867859689288997347598148645218594505986334424445587103482339536322259175500408538249184228767453900148362693875811075389080404765201826788035352290854117444330020370185551399645963025142915725745313393029341449546113578791431336719316747321116260657386599211534970240401285984207765155487608140958431064263148465890118186524588415304723801972556911605128489056920620336150066442076080079099681724995703728824800975277233373126336525436690482203634074301744986739394290532074606397079960746379021603458461633978790328966111851907426983565261752378657572495357973969757166397751406152850354285255739565833882490811684317034977022294536423714011843142907690528862908440981920906100265117752533667127212330209794006133208687854300589408411094786417095547950673328296346479648966543606493707682732402871647460885122881317463556964982944417612868462253121175704014444065797291527486326100675568930354082886264373080360008997121587857496077175595141094825988573346561011726969365989238821244113566292716213466710073985509772423623697245386644595174167768225662197556970860278111970362867289448412131897240622362151034181104991063822826893564789909656785759695205239563270652495781888500923974061511942112701427013460591090048101216222947732897268603854395146653449345161224757441653232616434240120086387209753340211235862193382589791572547317966869434947859880842646846323931806485289099532968063083960696449284620445275876881654273954128504308367149419153750888265245377828010502009002086178256666528357360637914647360087782606129153149960722099632207193508335920269110498907840297451985058151895716476892976692500217905397519820833316764866037553090084539147764426167443130572791468314183311199940393504505721491995735004616059808871882146910432228283608113619144426704639100689176303228059263537966297113845916039673853925884735970522613821162542225300624384319686340228961898173684175893501844256244856218198844219695629641849155414568763696684737297471723595947167545527377280471623399813630492653099667392169409345684514425013885947965488865457264953922720153150771983827750693621748315907481463507787979235980454214459280741380877573178536498446002687647919752590180944860486505389073349255091340157737444912130851319838376638784039265722686382331178646571744018406939253916034123618083218521802777819388164977700799338580080311016712810079404900198212845808014562369789413504773350729687748702719136628212564307558389600698131909998192056330604512792981309513230413082366107889818320256645246440189842939927749747604546456139685223226304057673207480536827189894016851692044347139878602916475064229741548285297876588285032372960575814294347754740717114594664234966434485684622810208213147570648675002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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 6,378-digit prime (665 intermediate primes).

Certified number6,378-digit prime
Certificatedownload
Certificate chainshow step 33 of 665

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813426513 --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":1100000004813426513},"decimal":true,"detail":2}}'