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 #1100000004813476763 5,606 digits created 2023-10-24

Value

13479652403302490463457583853898552922332877010534548962006434872692397032013379461723451955204107945332694201619410125871178453179704656411990450118192716119510959441022185208692961389654092896752847325988055396555244228863496468641001551390736168615596051476510813918005166038040916569266036911073765321801338487279428332508065680923577717467650854160417569425807988837897509804516455602025996905292955727343612086927823573924818664476561307131102072134643887952012677601678962134180036332016708251803327004523767672927520614436682017890101277709899652785016644628814408182768936345181023262839659130041640907411345714250025618482982731990702130336260312405603077685799469457186119149480437075887322250966215854805637627733681101302760037501191947359014051286515595304647769827859882567167343513780038244201859435280055501910964594704308956907593053570077854075768590876726177033242983137526631820802020877446403720304615861371909732059182421610651759755413756961931306478823811426682485543646168490683573984153450658295802477690128344028874159302788336342736284903481425259611402898361117127654710214944401994602362033395004168432262648695195070444201290145032386317058690762168986784690733965697656895626058781530668518298030502725677048393924397883033666490788162250089502774365645670292984873539294779531621659024182941087015475507032479123753801401358670206768055231851533237776892645997960572530347769978544042480958204637275347411275697952956852109942982821091413084386014983959863144912813448471588927110965153804068052398114332849756370435816152018239030077217776010142264457254890359169698050098912584802653656412018437866806706240909824227515099894910675429588466284518961745636830274602197048575941260885134707448304015105081271273751618459216078095418787394921799850667560258656533790099330426620007773003021166441606791182264399967828488096409871168834628152773228937814677026059799122607896672419290727547328144764850638931368625263496947717950787141966702393306323550704449426152353217048423484190400789430243359245511916409434991262656512273836087530804754416708382651442431143389969914857860717714277034248294052760569237614880604271774032673377383860436397505712077161664081160148870174816465049574412975180940407219062662967983951318155187852320096428130796288512502903176937490266561470352291506843878735391626345130436334710113147973765196980549610883929506296618219046390198957019844476289041390199728007361708692636549858819924737796510431477015042203227412973050592550324556133877453986226744255682267449468757817653870866702543453223498623418798735193758943461273478653195268303613263175420903560103974251458654952257725790724695683054120926718678069357749673174963472563101558128292440405434113735641882952327499236540321294240316859648237971704725169591694679795287745280935043717218982725746868451187770345988082217802102608220195014802133877178615827819213765909485501097547664062123059656171140877167980572894725804929776893434306764286896659416282355239914767094841375116444118952118992962793845590511989535027846082325732637884528691154602227212583258562602577584335195769726554094293705384513316443988933961493552929659494256242904532596753579448296076011638572280586659964173356087627226480964947885883601824702021663208336706371354289150663419424757469107512545166262930344301789478076255077850047136526796474672885795326138011825582391576879534127605625320962028712014254122843247992235448852549556697155196493160942907689638885935423839084411127321275950830358752324784164757140181623312260713206458215962577527615016316423032050953327236237356823183866753435228443113872033761792257746211332093210351086055921003356591222924895954180616239004278562810043921135573015195033050622937705765544405493117347605425558448118116299294112492305182393425431562293466134856745320956444632061414243111292699652240827710439647665167514634215780817436756630911580444336905730924904275111860842931018166033792173142271358829885092518851298349441209135650342702534042793789077493414409068933939571174684685503062574937933950142591921374853434091193854953793716570421332753840012694191926271074920229996869301424599747447641568343133059943863463006913725671496428142318881398785220867588126962585592555568182256789582202106013156866947248043064954783509440677323101636254095071788356172679129730042856439284723879451255728852449841047711810142908356637245974351711131746400707421627980257213236314235816032516752979004907932578749596512101316719525741560364302307723416522301064296116711218890144366379194067943451304862994157498594330626608490572068885567808308600825106920210022439602275069488701793061580579694012410128143404237427077507849609948276738823518429344537256806363720700894195452137599236219236224488262982722850037968559285278011058154658431457795479511113794394384713277925526391563664800633537765319842136004195143235225154397954844001007996189133960241869606392477954045993086971269447701927536112250254449843140281540938365486686310655018681949485112267997216354986024070959577009360140499273264258260414384806812998118053431402455505334222052693507931644146637639547914577637128126554051333902861000424358661707057914534435861876425893338433140199549409236290620101327401636131919389753324522838520150952106091445617937898405022183111380031731534843982009968452518853057176729979628546795378805172244566584029320242834512977791418162203072171097014022237451340930656567769434465794873869796337719527971194652242457672170450118560108532792117171197171364513018638491638388718177153311896753826504735476356689060881993640227252053280493498503749165807673182189537
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 6,356-digit prime (658 intermediate primes).

Certified number6,356-digit prime
Certificatedownload
Certificate chainshow step 65 of 658

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813476763 --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":1100000004813476763},"decimal":true,"detail":2}}'