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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 #1100000004874388583 2,163 digits created 2023-10-25

Value

156000047312283497283827420186347169191436968610082277754939163629176796707008037808655962558045025800959963322740090768448606827837648222589096124053983904250244518328173391727876324951705755573226807020479354464762963236650956250359734748007542585008179068919898650268925008617215297312183652898530082659106094550464916556785621910830880854716380602378193450838584166278487007201308327831388616752962205117012996692193333294163940035089658125161219704649374683837780439571091824281940732587840948656364089938156850764513252955689580997654232654036163303998439434865171174828682754697909880669649293469229736617469468927944102131738729669842006011280326617278607747590083197512013237579244960037065299176087457955904343513256310859209035704064634399788497334718854217957053554553989904826448270921833176146103868894334994200267152330269802139127282239201794585171706287971725453427385270777011113528624258304711102168489748405776211955182024399071898332065710979632657021963977742216855775162238699565446149724186950169914209903471895536133842767173281305822068155182802840835404963469810400805847184256890061997453894916179949209895739706734097176936482899136432163569133314435407425353586280233481372444347535951890626976270490103045776073559203750533159952245485960945697797021491158049117730170022575141161509873845333960051402033909933023899131626801531846652898926967434273043420249584154546491160821495167831166134465355536241711973549647179441226282197128249819885426478342236186805633009611365907266054071847877012138219072445989429361327520840822110596158661521747361983715173973675675233061297235285278148144339331774835347140683719777202319094800989433148272979614799233004894605910125041040890028990072880396285344938886673130277803172103759757329391025047105423841688157306649419176269295591195582728410843240137903764410047364517661472863870764037790998859163966018871565197009160151494002673300329570060685130801688273784949378676455870611205906348454466232846078245129366506178195450794829658357278733759068307614351309241542457454676902509895899014923264707185251684372668154005193780328258099055584798303136698563379689337570724656138212388853
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,523-digit prime (349 intermediate primes).

Certified number2,523-digit prime
Certificatedownload
Certificate chainshow step 49 of 349

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004874388583 --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":1100000004874388583},"decimal":true,"detail":2}}'