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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 #1100000009053654337 1,759 digits created 2026-08-07

Value

2243903290666785045990396789274393134319745823950753967794009829850596454092199198633161199042513730325496818948534039133566574479037292031763814687689021227189025171877084584667448868884573178979051599572909025796496519491964124161530945915203869749167130369547734438706528348847898243681877849372268880161641404163881233577143641282800655771251788168807095632937782819225688113619054839116536864381462215905709955566521683661855880631972038728549346130718614202474769733943694171881493407418624092464654697670930484700771225975764514303894304896404978021313598894048685578071522216321537287953409804866236975961985885628386453137670649153528400359318075557347560919313543805640222301434527209931253028448611655217275135770664904639979093291888098332197960363970469688240752593091785080110349022092658602270343542424498907645629902141784744891626857576379871446083542081701095663565855724032591856555658825965182238542077343179716612973779543628057196972942751107067417675107431287334219177527725908022862757182154725873726324047722335564231218688247576691506115780006796052209208565852025882141003229300109217598549189286316246638570265174122162671723283906395750121556257062858060355072544574026162911530483243857869503651303603068463850673064947929483054675543483620777376921200813442165421508989948734956292827202333557235607305118153173120429508474490597693509742425669081199217242885530776076333896209070474475317897234810363066433248463888915491805227049939512064012132667744700354787045774209650949963132842269873258323761606968492810938753832134612443857613757963069448342554906096232005277861614567514348667051827200424597453234721038309308138455502666961664774686686832342831463762034252908099427835983973463725717620535602017436536173221711352051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 38 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053654337 --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":1100000009053654337},"decimal":true,"detail":2}}'