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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 #1100000004863653372 2,473 digits created 2023-10-24

Value

3989188261053555492348221419957297126424004127961189001202563538354036507298070862681983533916985326866328254429314374004768899979132844632033017235747193196353383154521911046868258600914222106416344838605801298215958598866581299984946273796143926611910393499005395403816531911259329990108200644403981802796826141744837724251365481124036890454273932673188235298944158239757766763646126061054000593253439925606029615050945266311602008583388172273043637894355602721799730861938728506069024877310751211954179743504219942971481971509357520632586770361140440033065377384812047896354244561976257671594428348971443799049244237727852275077722286946296441300475794179574946229201636785209681961155549621576031675312048013186242800022468509007544868808987073512364433457145170725975551467007836447608098780197555438708755878679952674502267447680052110782496716490596051538973302558990300131087903862343046196990766923841856568665984356457691499073645560494162616803536694716033958350484455928555362940438087679555950370559730846451510261310873288808166595043082060217418486721802588698936170764078962922919268059372080572727744929039845240129668380951682417710127029934939423239214705167762598706282688130407682668973842940122184539642948973954873072665141486004307436772276957104642156741471815411205297583532121892686695125496634517336620566905282806002804944552209389255244596470894912583208999927518477060609359329220555272670568148792637323990489823674966529489525877138772382634814423478241130978270546211207270936851389001184507159351257297802462078302536886936763575527527363744348443725175975769669432979074889699379907620977482165572713432243691190986765060353846520171451319102083411430911122595521919203060657429653670056350360338066182195710487190469133225784102635789366841582145263791768193979533383747631844910264738447048278331150888926807697547716191543720828520053482682884862032882542265403447971202621568142908671353595795372121701528214822827613608006024729791982158306848279986185399663623595305705937848180595089844339404281040866189359016152078406406968164256446869046702617428151356633785420517044976127670641541795421439952590141246515250361883603902843172429323798422914853074720305521871516563293672432585878312199592278601814363571413202265334583705693950981811257646254908481166665603891884983098284873848393009681144803533455104902129980990658016881717266843631128615853492492184234846790386385623639303894557067341791157814519318128991902561436160539
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,842-digit prime (374 intermediate primes).

Certified number2,842-digit prime
Certificatedownload
Certificate chainshow step 41 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004863653372 --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":1100000004863653372},"decimal":true,"detail":2}}'