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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 #1100000008823082711 1,691 digits created 2026-05-23

Value

44155104873528690817547195914692190619375230714308201206651731709105308692209707647699379239768105108121822300176758936529457039467155418804774847606266132953920861237514992144549211053314834113404259949745545388521347476739988294209244880285752419013606209572174004713529888204893032650744824806001264655673239083955196775622551235114697365192179365939547105566323340521611150663276880650630035148352247239842118285679702072086947345863250295686577225805266874167227065013475090986179546511918199584122918663119112092208618243353064742468867364444828844314104523080989299035857845031312202241656000237493645357323992685138218647821026718914388656664174040822445607527872426587002496991488133103603073294482194165747432560884688064391406128434061634606296217505989260325156105004291148122458619413891339997249145510109622854855867447484008084465379324404742358515904847575374452608889309845766191368795004104199366585796002025251229630874994761198670777441866058242089521548555420619660977628445303382972806630421108629144315144441622023938125548497808654582160897888148132350946693581308759702165249660018554095729582522187169001671282577280109740470628322183877593842176455731463546781837737501295714972079931993943936554481906407147195071803291003464199244160181015511232715575356667954454072922962169584108207539899911656969773076011886819161741112316177095543694104554355917284183653757302512817260175061653477388246784694304742903804793230506108266064241361393530210123638936017279117147754184780688451572646553206242295807418448547574560511718911210380107799630295014079251808892180935575228479562722928140063917009933406495902580992306067523360089901906530240291999652251517828730251
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 95 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823082711 --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":1100000008823082711},"decimal":true,"detail":2}}'