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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 #1100000009093802896 2,100 digits created 2026-08-19

Value

872059340209820732120967913592806110115509209323717219258443170149946540006815441257404961599949694649699681539224063026224098928325313406257556082032426708583464525815126889467403302360810766655450085173319363764749221138713712724775836840716392594260579709229482383535031245637784537004668196337418039866694234918312689107728776228695055373444236238732581877845674640420964127572197179613948683269354374963944539159974768884479465927004569411708819321298470963950251789215275493503104653323109300551449839139001081613288498575831462292347901826188894435273354138232161918891748424385761120698340633202819994074996163607931168296724242863784152951989886242457156787469108380678212979088951157417190055456035812003797892198471369603206834410014317500110215425532182764345868866651418496719588383728595314904709012008899142434141059690125137149189654099835533307271028053906834418522764871734399151281718667267262209412642585482382030253636778983622361964711312991483975687723038358364774820823766333404228989271377309952072744704326606135955775832273500876334191723845377629789161665444404747295563004874445576348464986731733798869598710632708358551095293375109980951972079652716988102938578790711393521593325134962251451057459495862745943859545266310724231038983380948319879646987063373173599224195048095493605212881936339859541013036898657455918424733681211914782949866111931201804279897645324322907559671359843790330357843039423470934437487664422192422605708198861393248551746244046134271110320034512735738692816324691382124939334530280071561504870324110722705114996993194675454165183481989938528170893643920237863189317939876947961761940174306429294830708006508544276692586827216220981261275320316853679033783438858377386379221120380631383731381834298725657432013464583921247021939603021447011932605374947263438996642777902730539474116744368936788111232079518795437502719124845919841909968148264049976856483368869912805041025694804813465235989903449535173330753840178468880544097404376750565828914987435748495607487450058958948231027895533454172031818420424162011092980339615683425573977999927871
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,195-digit prime (164 intermediate primes).

Certified number2,195-digit prime
Certificatedownload
Certificate chainshow step 7 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009093802896 --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":1100000009093802896},"decimal":true,"detail":2}}'