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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 #1100000009078622372 1,569 digits created 2026-08-12

Value

284315543549153555404234222583022319720797129981913192349096076441051207678733795498261892867567105637014257876092472871409953014453225830296922550354275990603294687881832772837229274690147480352840068442586786902969964834743846302325232893824514405966431869755533591025148468106971579882783888722836511238990803063162714095884598024949091805019332487017144702919558502920756157171903279254812970266476483332903583798498887900487323750150915812741421560069238323988418403217775060339030691318987308073392884648442442367906677495842300232014534735882612502900704850679733459051927967409834566163430990366798298970176553451746521911493499500753986469818923449095891396524054247974428337697660677017216380561043767436156593238817937221185869489113457254180286940219542972139458084197372580941109184820335301338967266028393110233687573247449959106915568974391487519021354907516200224648614196900912893859427426883750836755134820689605825219117857666209643088969823325373545462645418327958272641216030833133646744309024447960552218423574216976793731356105703454289224279458863093170502752949273436416755205300601975993200964158824715026272689071427300918990658062081726656718184563362080504393257837561363900921982285785977849337963190094933694588185068035227708786881303460085302383848652708262534961425268864863068849658936812199021831180229296674874925674786049444859917853611166832180788347524353833724513094426100467199028839637750795565615452261129258387173807697471746699289756255576162807854605752085584997210262427727687199454484484235643529686421841875950642458407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,033-digit prime (163 intermediate primes).

Certified number2,033-digit prime
Certificatedownload
Certificate chainshow step 42 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078622372 --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":1100000009078622372},"decimal":true,"detail":2}}'