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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 #1100000009078199694 1,839 digits created 2026-08-12

Value

524878569165356969463759003859119568347863983642516524579273510723801157534465492268190167930274489196713458285068892289359786487055513288006672826382866270589191633252751393687019317182619143777346221160610140135483385020043169084278718868576524510501681151626780796412192302770555880917417385780169638016720766229692544061205032556174564991477318223079411985890753434132219273618141902610811656504568571264757632565220913591152531689121576234003660279147378149640662882914602853361767210136977299505961509873791469511956966250294053381030871323912229302874714526512613282408835598104816484616149837475011186995075084831921590873120950169388837381018177938139443385377949419563969844712725566111459994459533514314984129502893762264696658944177633719323939956464263313320407735607974913858880283644317131561294747001444191358517967940912098209528503429709247060791626151337183711750131886084049936074776080899786779808805450795720646453687074747373014326716279018889087165531017860013116161343150281354358584293017379210172052092491618598557574214470150343935365514456291699748141586556866504848971189313246148227241965095086602869110180090660801641543382849245790798848190949381590465269524218068453295393158776393905703405040277787443376818006703749426509980322785214604351898470492183674698474598263133985409480103109085811174565697180643626090983070184756837472392769939238878286695317515067889236538791152828856262676294857210576662675187551606162819929156598896558189305034154373917183482848636073829170839864241888576609690173658444806792294113184080794239719554658427441261803467599091940615693499218257751499396927460908384271221850937849844909438742087576680978400999385583451419413274904477570010628467015009896266637983809431253714403792320752510621219662588114572629594108948160190158693648410409204076349173794536601747738233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 25 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199694 --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":1100000009078199694},"decimal":true,"detail":2}}'