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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 #1100000004851443477 2,836 digits created 2023-10-24

Value

6704565978486582221220182897526125539195780992403636623799686533713606693895195754161744927672946943264349366069065197121657619423532865147609064453289893402375096453788326021386727550111409590577382812866747057995710075477908571194594179163616740386130135786745711483682166452513615491885958669946035600379406255621314018579586515407082265148772587816539724514066535457465756302234944322872494451858821327673200648027576524893348017088005439767092939043258627163481055762917522311080678151533306264147830901622957658268086804769072825007893609562984979049902087232840957361922647911434512060505465240992280534998793539586534225908061286601750226882985344610745162510098754863432582544462620565037819119525623858297903159056570356882083506036650921660714720878490886530782582909356567999995997459587361376235658334887890598197169743463802897287188229320682868562236707891823499830853784207563636774070395649620201390971478262851442556357012859079911394599595009736045592952788194216415292318847290468194233434296980283684833936388587690165745097090566436723256942806441162504104007308250049122338345975604469980805784651380508367385306611930594389317773124702452195264700065837558114729215724148146618981746200223370207700738397114393748406326451676619071783486664663443824211668975354565406145594499785323933600389298547931255035931717289973657031569159861162851753045505315262416835080610243680202704775794217485943926028292145940056426029068245914201053333533663225196699915940242013217940415934865696210043191286833044340608121861191006845985429874749237648502219660563017225967495916221600470683446577586368440096199309126462448817153130410362434849063510966351857335742447793118663792958259635042121340539058688453482767812585384111816866073064601452608028831604301464605241391452714134446572842441964123045556981666931894803642010091787351212185683204877861716316644035375935557427573214692999118149841115539006084116159113386202838467856493825309077920732579806628148960927586134135935745935997035776365690814725490575479902452379287555632550733249501877645656962874218193871979774851661665566577682324821098957684566615301137852840809444697565050827109869478103457647395599906996372824863070312692940408362808919980022411291980622481518301916874432084485093138985745235361837733906555094578326299196174305807521329531145336545855232230964288568298927761016608745374781394092563882038086239196271321935700789057678741820572252885602327395238858902886539715397868171675846422424292351012610909559845191148294026002739955352623743657686618370988686819220861275113094443299644998540961918178801708090120654411527388560532177693675448634826157951100558060924301350696507657071492039379271288969692520220053110803868409504754474934799848900214798192018361831931515365582144909786246903093830881061714173143591249153366671643212152051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 35 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851443477 --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":1100000004851443477},"decimal":true,"detail":2}}'