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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 #1100000004825569158 3,866 digits created 2023-10-24

Value

93454828196677989457223076236867050229895512664080276811582831303167241154917327204059713787573678238338446181112875035119117782448812657172575870498977260857401463275793532091617285440174464319429823059813425521091850408135340909678945399680066402235778502324278019204505908837613060647884754552033051617421879800959223518313578855725088919703277358920736824550477523452293538755963164419416079351119926609074105696122135552538917804607113332543342803566587068953539546167393162898615241223854832790583541284064971811423742133142969575203425885068294190485133773142049976465938346351833938122647543391341236282421958340890263723718259602253184774656158901431569627760393357500151339963083900256758113602818102476511166501616429155089516505641673743833037913283456791492916999996918639232995866107104128379283130233148624896320986107711943366129224095900522691138297751301064259984164277037066974576267819269046285063374790668395706201715695261008909709151285403798523218126041399358975163092419248432396785248419561884372107099413597364901833400047925320553180423318127911311409337489507208985126084159495093045899953594364812541697881820251219242499066561103028723757783251362092868239114801541329678800859183412094294697498204597963299243032425724308058424576590839789193538475017149120294659198915734896055353650811405120738355854342574669285575658630511700001227485931364234060736627258940783767166351544178057987875469778221014999797958188137768614008909500433292428927252575964970513052683987599954264514946119170079269257269399563582443867385135265114511343956802121902714869673960269118009351312387877730836883125486046866840627857276226262502688426512728573981243182855159594231705425185426582008974066524944293217972150858910917804769033089346183568498957226982896667683093609759316672957486546800953216439699054444467983418415007165785718917280461902580553358965867135466405151966834919278869167340648276318732979405549164579902698625272851416053268773005433068778701378177904065295688922917292291739193104520322673697600705866791872887811671153499940707310319495987108884929451179859464583344649268815664532425765834471911887278723697257255452329975191490464914451820456869966655770892211366603553705500033987391492002785629253720969919651050865914291630658284538580600831648818177317713647020967911646956824484063295166168722641895618817493016097759152532105531028308413455355377245872642161798256139019532709410048172347647050071096048820323701779930743911742590063661789089548537787523986552206105701870007906723371676069381230304924010727506555224316373790826477987252694382486397076341906318729720439838665038077286958724741910279906672617654045579303837696652921501004844231942939200945322908477056146350387534254642458485855569002404140014728746595647586012791263412777377133379785764515721842664023422952850980014386465506687052112728356986693973834079286636925178418857335228496470055635713498440548540259397998308822665315466043579667251552424372120239650897052933008561576098232328619816591697544011675804778494264900743053940598694288546501858803849946061712734970359182499225575558856951190167927929326289698298253117201737928968404791836225343746638790891278861161207782257069909127359537551113116245880182239433232218329609256288962834028734344372999668182902531926922728549964941701634003083524181278364439429925628334578970113979376058467168340369561852848696114987255179699020310537069142944719911619485951844876961218884809924160774146839123325098049673889686540940465600710443700302885225654500513921951172248385760079950350648201148107867186519295664345558488731896921951453570289920841925259185488597903870063536095918612186674094893120957067673397812947313948311605472087851748265446777747973118662668274630871751252781309169208537081219811247425358478335799354672215658307090342872713532055258108475297193863974194580627791450793
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 4,312-digit prime (574 intermediate primes).

Certified number4,312-digit prime
Certificatedownload
Certificate chainshow step 65 of 574

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825569158 --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":1100000004825569158},"decimal":true,"detail":2}}'