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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 #1100000009102093489 2,040 digits created 2026-08-22

Value

305569758296371035557969160689839115067823149344112335344435142741343000167837044987453897863816969936440014993270939455725603495647929782566197519432269540074857261733498740294321958642915931586522244655231743142968846854457705208095675865385294382100117437464531453824495456213719428333781776685061487463080405934864375254893945683016418660409308080077652527940303565354587539898261003021242942468112889370201610459552864341284354478637778709121969376185263067402564476937826005213173497257540409914393213719248269843520326267584962280288762478605363026824980669893745241761111823286029266147023505049692928325640274095753463799719593304985761439743312985750950870758083504426700641239589513917454335685544285651746381801659245542880240139361381428641976601287380591820918347138879377277444844336457810293307063431584070539735151156920140387852746284847543824307099083545889771692491248788896055421877133581663905257499219421517585335912252066785309921699930515519883955754523659442864188858879319258019046180182597769237960070308840993283203657958638546972354271407806542505865969494110869381571773590211297284029391913529118273368686886482060972376233053229317133899383459543629448584467924787163894308123500216933025179671932358959748900055859465751972626508110090668258848295514961032058885980586853429818267610018098298606181330855216420244626221261221232836185390163559706169870625841180004142892816723168010136082223963434167184309816938688390929890663002539239293485118518211313818760639967928820267852002745795077854384265351044693612991828322322795097985536964768233285875279542443184848024480654745519704050456354274222941994904416780107920115592748979854110101333979025468995397821652223251414900795724967484266631294350874109037215540306514163955663313005934574231627186795061776611875150781498657277979505827622794781392969747138633293908934700329647780605839330038822251951769193538848532509034968963464923720585270139586011442261662636537333609501462317593878434043617335808461615612143392779268684942434053932194118278747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,979-digit prime (214 intermediate primes).

Certified number2,979-digit prime
Certificatedownload
Certificate chainshow step 72 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102093489 --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":1100000009102093489},"decimal":true,"detail":2}}'