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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 #1100000009130350248 2,327 digits created 2026-09-02

Value

34278338036070897280404663889512248004925017542955063234304502724870908630525918101313632459576383182424236619637474349117052589391432310759405100747314536672544203657187365706994848780971859871410537978170855858696415786162444679670750436748901957079731592576695674677504670138801556740357982217807172966576891383759222170624989431244416245560592845086569864203931614887321656751814584189639202559133049137587734365362964971300442414922550679734613026202703334737873279489378390634416849050975324036168974031593748542426091675654880345938679190298049968300224363036642664853518210855675187474923753741803374749817177182655370905796989520340056168142972938094561125151846904030935789336512901809495460256497168797111000441543505581677630323157777708526228458872930344960590147641960230944859653275391018984116509317643512842090356711178737905227243065698579473943372863014752100211372222730222326217133705762051493703153795073229944739855071633372530448584013110022345463910331122291277463144051857538352614094200156209496198090104744175920163192956844551262033287885479713025907397622900507880587008780984781769922231575789214117855035198610242126379041980660864313959394997011137794014816950645332951892013138060840893594701707948528442785830216642002450555518216824474592391264520560621544714709448455982641892529927601316724654753969000833712221439297223024663863293597302929978506506097680145478339153678693627816638029694107405048833726272976692678400500559733116545630224014688526185112893276493492229775757722626033967976640085745082489475092101268609681263656103251071856537548423116076244719115470558493343278813371868646971545894333914495885561633467468841696116059899327070928640193699331268546561023037153144299722233002192430212330865255425842247330213255770081319213569905720897505557762592477986217387751745481470667723434926447367737869731411975256967609951845009095429904240996795374537719362194513309069487935586859313093470832784012954455348539642679849971704363941335781495265349838134918937976999284688892444234878571446341767440116792283587662626470320759054508241003351273786051284049011785988474683077042449674188354395464391687840203249157077570122233685927572845608612765796422739181922534765589810336604656879756546261078478688378971989536091416121453921837375650977959755680258574044754771677749207
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 3,173-digit prime (194 intermediate primes).

Certified number3,173-digit prime
Certificatedownload
Certificate chainshow step 53 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130350248 --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":1100000009130350248},"decimal":true,"detail":2}}'