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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 #1100000009057948277 1,800 digits created 2026-08-08

Value

335416055321252606063884577139618576260093197704715085548188574997041091050167121128291428754577169054266392822978799910609258664101123244136744566762198760518428735767721708061837854375032203285516383383678814700200303512617762953545305435911773622819504458586904987792377346153245761285827639974635925209414694148176873555485708328070206851535679976112077677217148735756090600509141440393386750341702903712577880638690055996919723378127118395750370035296410689465833821094418576999024263403786613344347698427205070087405381034989994962064604593731196012767495074866053930730331752367689435407869078653572234363164754351833612318438192583686145472373014022546169856886941717254726455346055730139212826109319176449474888178826408600992427123664447842799919291092356678119722469634048228381975778461036934412129383120018487612400556769283377692485767601831926276818691579795428062322364731897713110664338384507169167644235776955905152411759036587801784999105688024133231483428109210904530008300611791347223570358000975675944242514833592375959536345733458555619328924250483263906036980228479939137309271736558888760879880780219366162368143410005142596226606976359211702429258454230452732856672279153419254741639309545603960561497647301343915818143406503178167379376140797551120027349035979009699284695043621755331044689460479247418502141434482626987527723263408953852800970240353264836334550236853226877379154982659251375044075857677170120539961488367010008837207303018482799528944277473158648464555376832222667909666683600400565181856460904153424659378931491535670434710065140741391324261147894247255951997965859037594484309192778867982655171322326114531559144989384893417566042291415129806139932212772461196218586696321752055799422576642429921248433982906409832874623418668656943339450349807096354051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,454-digit prime (186 intermediate primes).

Certified number2,454-digit prime
Certificatedownload
Certificate chainshow step 47 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057948277 --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":1100000009057948277},"decimal":true,"detail":2}}'