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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 #1100000009077027406 1,982 digits created 2026-08-11

Value

20010333075186869354385143737514522804168939663712695471860509382435574512680923129834461473936115842813267300139805773170609963855250408286658670581899409457209080507913981598952599606493782450215179564345503052937693844374690998859165096414518521318088089061648282014544619973541391387017379967657114521516993072489344025293868836674006273640186558409571830041168691663521794693842084322392288437938843641003536770013941775016966967594722392486650176211254742886387086674291456457112843957361474279933914503643681289540250912175735522385172899231447318187273169631373827044550461857801669581972427687209671617516773054803022761610082409094479750535538382845227807097643366435020223589331363563736112206404870924417820619284479203257400928425294685967534631924471236945079210591360423047313920108239038451987028652636383056724108906212104431691606574219728899033790222770424815225236634965771124508190068530448768090614532912711076027685719254536298119705538903953022264528506902187407019303887859777083648541169227674593868567597331903256462648988560277386146115212716600515141385581873714940673592690975820104435532026067079848730762307683966990960309320032170706280612642214586566849946670280634363625267283105450896879904240933337634149159870890773783478591242135915695409336667769262027599544029442468108587186477264341977481769087473605598842487377977143225735935262593140264191683406947226766464403244367617954831503696318348871969119422290146658765810197737131586962707153775177013867876795004843737619420933637760473327877882593913449311527249793721783911917090915734556380725332051023170405780100926097153137562171841441953003517101953450485841752739989018788634313777892764988394834232272790896752732845072435891171481400920716440445028386844950358778836312496384272423933742109483415585773746284760244434545679299460616934148900707649642619596529543768223711863369395317913517982812643084899691780019258120169320574391546860555899423089072009670729512219506166120095303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,942-digit prime (202 intermediate primes).

Certified number2,942-digit prime
Certificatedownload
Certificate chainshow step 67 of 202

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077027406 --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":1100000009077027406},"decimal":true,"detail":2}}'