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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 #1100000009105165494 2,291 digits created 2026-08-24

Value

14151933591687605567684437788280316064176587604537238828165576493377588201808616591388741067763408239609068176113172943517549255059383074639682665366138829521766487118584882830978866182039885201830003520107916939865704571000160199281865465150369099813832883921169112813559631443070872742442466466907073433270757638787049269565430119677934216820649335125826393745806087999001861824984138668475812120062562545807878876712215710196926222190814342700027631261921912776411192173794810983604444878668974790080001364163915660756594598851898848697110455130123222736630376029169197900794108438428430510266147010852259792044105101027319527434309190331748262209695129500139994875099123977373997521443291514846673966457740550231257092044644921598496413647403847617557067815703635387876105679850609420228634940646592812571619615473449690657186578433034652736137896488509322961181041646117555406936151650303821852031998857396326661310599401817404558292715958233394978531690764577729693670086055222897558728273434040374913391453366262276697283727349384926982244623243924021288831318185584336140950009717095167508935435966172482064971267390144942588330759401235986580738719902073530249809936908085985452540692487823561421709407662067544940063823054968959651867434373884188357502126862157616808320949286621538032191168841760300337236969366102870775552848499829090667678576227038597919848781250707607267098973146814392994490294893850499432127282687653093189295577287474385851834780742352748148424945495327542996487062479890369578670731902873014685576244511059834205933532479628767358480093203135787737715110763016024375384662175771380730323066294985755976362973895767755405279365361931355357803568197313228674747498158271483940090199158168551811798300825873037263168974539072139709727354625740854838844889904204677382987958819433810057051599221372196312661109253716708723376936760629539663027211987961323952620156308323938295011902875666185259877763551940469347595060051576145633714675030467332522504200854722314273529597693898183924953775996995473909762163723932566513927971000149234716266283649883302077528109142746004573622397233979075255647452565240441062520221154668592426994851689935720853587043294349505819520349270188557128620895511301225463572288391103410727526978457947164875658873885110987378617397
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 51 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165494 --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":1100000009105165494},"decimal":true,"detail":2}}'