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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 #1100000004896695693 1,975 digits created 2023-10-25

Value

4221701632265778051147339115854839455886677785824536014267938946434753445723089432616377666386562780189100774425097796855438245127231726089868382267501612985807535455632181703705449846995826192978013971448839284420116937641285884321126827832282067075204575290397816183627829183950120887261937714054191887672304087277784225467634729831575467438742971482719595324895785840237312520228629681249045168281486458147220895997606668333651010917003827242699376185084376479609410525272094057020701852279731512635316681224419489635740345241495684136719976845423153892349158106150180409915953693279837004950387388319308593564158103809464723068526527428381772793284810421937327964100655840829859681403833743499364352319935833070540626737358690719581016487681578828427122048004244589931285798729913135503920137039905434866773533331425883501268309942312842375224997154907702914890985498599947808114527601025228995595517385926806802784979448675835083645467086197191633212716565528578767819519827875469172712733186680191102817732372826558260858403430048996728846222123661840568696787109414083589331739013602295909517472270471582884896125970816039588697300637539712560022452150262848287882509880639255462284084545728237709592628285205869401637379432809360069972167446689360092370581712982225199973465194489999384801617772230036177833196027333040156217001322189876822527717577878414690195367408470442850488224448575727746934983284792974192691604271679794732852737171263731262415668126155772720063143527786647935149213944339163217710783123461581833277199170349896886657748435490053409462180374275309983776092055333781502150482161364000931091713647753309420661781526593291773794317107381882522253032517812739427072616627902598632782721235387938118791201763265508030979612154449498456657870495890205975374926786697966130781311578285518632244716048580950336930617443324058546336915329392505363195402616519451505964328527214705260461809675039934740152272352584361876642041776661700511706886838458097
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,126-digit prime (277 intermediate primes).

Certified number2,126-digit prime
Certificatedownload
Certificate chainshow step 19 of 277

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004896695693 --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":1100000004896695693},"decimal":true,"detail":2}}'