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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 #1100000005917947391 2,007 digits created 2024-02-14

Value

582411715521729741961733309050525852214477759535860739868669286764285495974486294141153203759544927770871769852697013286282576501405297720633629084330701302552033462266964819799073493838965198417873924493694470110980177719582725496560966126015197062860165534594028517461402509730441000760137796793412860424087596603803496189809122004354440298434812895709778371898717813488769237625941487932500505287263105177147543304562239909240275913414463941005196470142013781643578535208531321849103173581309141741144283971169069405693108058987116895269919525202501478512233787758760630197490652850327398088501591820498168123701784106272899798309536763193458215455901546776889340598791482946883669358147666008312769570637143900576860858461485740761752231997945875325410700819884060942881223465905416070346247737394870447986369364408718972367916529236115364460906599258457133107264110197524704315850965499826677984496208474415509566231046443833023104131003380908375777244076087956311531648668300845031131155321360401161249917570950858576950845724882273621524209163071791517881262787320932771496154923986149490404231047416850656652592918633819512439374860666473669645376195521742630717321174717236288631993525886976049395058487437546037417985044247416739060117535579223477677984973385311897130778470252614622361229057569651251522866447493697025573190841446553005220887644831817829536246418884300056370359892622875782609734558744653813753717345164398556181018519358649719091599315867910633730032952861343293858634326473408782669832720799622156981429165741618993411872648156869450179565303666806190313839329314029591615892167899551221653069525972419652627834527200433254782223395657266414679714296847061252709397426873157285719089135267252439776666883437666990029179300623385100910555634504606981480725807459818196331242611042004160853036664844324999977927218043081661036565783578361731537727617047503889346347040196844474221515519123421421719974335617581701036017999326324203583727524524982898332166245954924986926366278409
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 2,832-digit prime (208 intermediate primes).

Certified number2,832-digit prime
Certificatedownload
Certificate chainshow step 66 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005917947391 --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":1100000005917947391},"decimal":true,"detail":2}}'