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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 #1100000004877616309 1,609 digits created 2023-10-25

Value

4267189529006583893000400796652460748867617535480697811014530444441158265326800069390751393610059728339487259846924023424546984639135809225756613631478292287940002455656618797162092482289465418691145294874402369287422013689571788966818389510601934887792634418750481517835850733468181473080842917871880346280722295545480739278277556388208760179296500445558716534066037208172950816155932229134989301207514618028047347100844890661782018143194765599578457229095164933733908126329285460600982801648750065955970957901620257633286593526905219133946428085846123114993240229562946847172004496429877432327017854586413721754953511280985604382352730453588153015383532943539740887180508495745673486302547024710063577495094814033505630204611394693885311515176358134517767670199657913874436420431920022680177046028689141918052890445003610291724089845543028954767598502239556960232641513230022950084910370609875368858145938898472412931893585875561008823631672552689998621899742061304059904706456205065868354654933625307446308552028540945966605005178632023695732403217861778729414026359542588971339471401058610298637693196879476341675796975496064724581341202462883539594201024569190459468863570189205892319121565684293072775130874416931439266389054999729293700294633069206318176869005726465491179826706771234353327417514238980209928390808624466464607932500714108219043473609266814566728653595767957929009021960225984988037660694768297133877849634300495738484848833537673444469269796121602738848967519722321331814578432344734799020251830454443074970644721162647356921793089755519868183120935520418065596796870779543157218320801
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 2,457-digit prime (284 intermediate primes).

Certified number2,457-digit prime
Certificatedownload
Certificate chainshow step 88 of 284

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877616309 --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":1100000004877616309},"decimal":true,"detail":2}}'