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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 #1100000009122831813 2,020 digits created 2026-08-30

Value

2270799190675695069965372488170617657097174084328019206050908569666798881210483438711633978925567336698496388714506885693094870116020831733778670867422628871837982225424746517026803674680284962758416964442300613047528918265691955586676776806793339716371115044673918161716915137406301996395934322965108649196347134268448015314761878619751611550861679900564382674298039859677741146146158676676624923379335448025923390224979432462693796443818610168911181450564210049991403229646029643330444812392599368489693107054250732291612600202158958351480131642528984388979609783888397646653640464685589471947129760240322675120552852209538905843238677740328597829304737039852722781832006082979585528760409495776974602998922672299725590950347556199250212193197033130953184827796406109842424786135160261269642801679963083731860893129844380332694952704791452534388712132946998077909880957510163186438635610619490735796829968606759742723581484253849093763750655311136004828991764698523558628059797450424825970264687307276534955263304457469924258770666585808111380637301772514454155335918475488718013823801707732681862073574393487568539096587344962252825348710568915022873715031096971776621228019172768050826958274555974659447986381245593345482039289564125724934159172819922228475684958728394126520248401778706210714182426444470861567626884857480752027442925082839307959149211826139971677489680658112199606633175813795493135591773676767043655570500424544698238822853357766624606760092130665727650136849600331643913457161682791530457836845902491292856067208811790694140683195560936574454929746766373567697727086739234805353048572851154100386933600506784135531670309569010828557846894507204313262151041213813042599962678124355359168358470701750555001565281896918586534591295189570207348496957998289045135903367259135311278173861148829527421313897634754506751704086697802507562143989180642011498174452403697118891649308359621340993379942827301891251742636497975432060788111993582002657625449142975603701515012217163325971871191082908546018313
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 3,096-digit prime (316 intermediate primes).

Certified number3,096-digit prime
Certificatedownload
Certificate chainshow step 100 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122831813 --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":1100000009122831813},"decimal":true,"detail":2}}'