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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 #1100000004912741633 1,914 digits created 2023-10-25

Value

602811725205855059026837982003523938058486441117405166629096184925899088014682821538332585740410691167284475067556690982370631972502007329696274416947279010026380559220155701545762954266108197099358891722225198413669033057025340418899184313680585323097288194164766341277239397956151543284122185579031305967289145412838894383250042760588468622458938775537161701548452158382800948984465725021648499542239544271727005375179757155809458093964608045273349023206587460496383637866110006539897974460267829331367679771164417806726837805219935385826792807849504867807501053694702205763043013282825367485993465428212944796030806986771059263086458891525888449306984047827927997847855691715281552222512112695153091696265879827248826199639905382021959725004131057859960745333990047794500062276187775355747787073553034690050183292183334699961033537399893723582536193710049523109485263933980096723439451449666065629138224530402345761264029434090059398974406939791595413933211366098368976100470697211044549430320906170008918143062678833776308087196801974780092121501319483121055583144113843625500141307734705559021555011633611287466293080978584332299124999814750284829203706148393482513350358091279459717028453150935549405111675747128559395510803166395878346763053723486243836228940369093619487188868650256665013339530896453893324923104423400543214507274943900013802932887099985548880517843924949044588001363505309369583602922726587230763618575632309500070133127882463972749081911343519494887543088200268644735608500731750808084231739405940463212751251434148644826324125548650074835974697518979637451200164155061872445895108930950288706457250076558098654900884583491580782866379032507311874711128921120967289422777144383493458204515305156809822433408759205383682845632083453530597264137153978361914054267833322152568706478659621344971379009838534707579694286189781396926352400286365235018833941201201825591773182459716276321158853
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,007-digit prime (157 intermediate primes).

Certified number2,007-digit prime
Certificatedownload
Certificate chainshow step 8 of 157

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912741633 --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":1100000004912741633},"decimal":true,"detail":2}}'