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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 #1100000009123068897 1,688 digits created 2026-08-30

Value

51344872994997790240451887138522548154063398249883751054531995884225237823854109106825628651905108439998752013580037715343030618761454903254618659717743867297369427783235106239205121186595855247173258503769671462686636923182049433209674533641984740786890622501210967102314233132979885230307661412716298517831553194913796159547546762832487975461781938069499163428921770724327063574992445208904123272285058767032368804994416113099228984129256449691363506414286053550275207329638355448126347917850257572418665949622413266975713567721064838251392446365126676349772076460033283696106595721852200050984792065636763395409224873009307824085649313289804999554387163596383786742633733649877688222307544432664436938862071874310791899466870497995646718594248887407593455610746917528020571816476408843210836216097399919206351614346786724992094057510592265095596540288825484309455371895708676416964236268737573039220695121943662275301569269129787294886009389124515355142743127310326472702648583146088217452250869661405998932493088185798919713767537772941731319910358563437557055940655191504191158645701997490093506757194478201432425025545522900580738233500622784344630273277174337698164965031947718845761401152862406321830337331774033892130524165153349794075094393515894288285719845541766184619495348235532652637225801701100000382086367231771601867445026088439648948484816909402785344853075595015888724391144722451627627253506937660760332044493109728037057330293146946811888425153210498706666510886828473819871840277139329353153600242918378462638496561728230381156815281494472198691944280582438000516998062699413287653904090666060844173175238098016156104711482195036746764411751468053305815118178526809
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 132 of the certificate chain of a 3,057-digit prime (308 intermediate primes).

Certified number3,057-digit prime
Certificatedownload
Certificate chainshow step 132 of 308

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123068897 --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":1100000009123068897},"decimal":true,"detail":2}}'