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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 #1100000009053591349 1,827 digits created 2026-08-07

Value

505318632969028305706918871684798185398473202864906326963871596926349790629106897681217964283995784835742770092535726502454950989729188225826424395147458644366431184773660005035539604553651687642131945947639162819464607661570266269154523088461797116764156209672667507386451011307081757747493740496287329940147519670447702894710202814927409041559722988384946956607976395857605316550562050429848088496744907184848313148212863533527570249104349762674567116664625745290248640775255540321900688496086619741833315619052663949893773117858450103648266003081661546187006456633909666635081833628898226725422267873364936642695200784748183665667770113663446148684504751728364030195691320616967428138148606630099124303494840016744041284055461021094849935291021358139524065623364139550121969926973864702538474475286089170919690467022839505747979043404623901320822378696254802655258658520342841816094489875259423346531397200799579911214074541164253626075175510070186975980970155388167669540029761786731328584804087891775423109643525276769021549361226012835684754947271155275459897430848645188444095495702488875525320006786121288781982946803081011226683564720403127625576645811766036472571934776834631605663249805413031689401511968865631877843245953818509714518690877654042078923493728469833679789079393307946529294337321550523592779148497186288678017520490870226447929275457973031231300409272065090606113945599981415081648862455129070541646763452759566316525823665237152124770506167852308052424534871579239267046799266492393846068910309770425361910245086077685191595488296371625551438050577015964593553234448075702727207105621762816157122354856087680353368110313966762519567878937196187712509947671466832310997465352302867284169527569341111632295213727402339629797953476254080992187698214935080265884052892711839076953464401581243136311938167
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 31 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591349 --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":1100000009053591349},"decimal":true,"detail":2}}'