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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 #1100000009091077216 2,047 digits created 2026-08-17

Value

3945274549506883683122850977201661177698645878240582616090008695884432855473493162014591293051666243567178179829738300797924691716325539600948305616295417732812263182524549862996134356724352364119329748837387411832717648882239180630484121388418177906342836258203679673675061564192633021144004261484217022234002765280330185620893954816732982598202122597449080232365824211202143002918129517599672169739353296737900799976746383157691402889648841857256431218013494034040297176549445165097680210429591894287147529875977149747568246055987303826822391999269775111232657281929533456118578811733637421720883803027841127262894014391754261047854878976800819416380383829229238358754267013500198617465357353414605590591084659521206647273221371616664145609251670068874228054484009224887376608473118167001086572582242547376125379202587546392100439684766104442781462034496811001394346104900102386058839881423291374373753921596020152251289184752004433577548659211493270394581388250716132519449228010432174940796332750049311830475999673532889235816090535441968447517302899424105804341607861499054314773204679700396680191247834306094011754804280613992836655616287297951855468956876578987413872323614707290921643900591749708431396050945517512971151274706796694196331714904610463566010791995169471612776769163122284723005478867376788014959524894718504338719505406746705159524852291474503806172728387683697044110414567814971479789752959847159057616667893231939600244024855027843002217662766151337710800506358800381594723721021531164698329792960265314229038265904219282292731957178416460253267692267207605585095478518757745448809369779183878380653398390146315193238276973942516478886481886728164768964771256165371999614106710915540671541448449205219946952745950213288122803732609579243836309876994190581135791554647918400393895958848161604133361120459996563314581706332359235455920819195173503590873429618163854534306502309929231580306132866072380976854822162593700485555950227378983742278186387204286787202688076266920217383146460322815151464728920157930745689201527847
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,084-digit prime (166 intermediate primes).

Certified number2,084-digit prime
Certificatedownload
Certificate chainshow step 6 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009091077216 --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":1100000009091077216},"decimal":true,"detail":2}}'