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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 #1100000004893647775 1,971 digits created 2023-10-25

Value

657476024641569901511516484762204506470658431222856888839320965581954246470777456426445166749569364909744734951837206749158220369117382946062277276169144880820481448793279324243739232427300755815609243848053665279972662386564135040249962582603375531009732614592156410148996552690102321432848127858183363166327299714742500703039122240905100184675508917113549947678809174859493276904095751817978716483570627427575588180900317971083804863942034100269052288627897991345481776986859726162203336911080407873465627384608533024670961733651716862846809045859590649452169172277480381973454988184807025590617964475434423111113348244042637706195774452603201571327047560004326441309276562167490931468744518655104886121220824665898806117670409127392463504751251920686721397569853850191673852552677054275696256853823752245910147418045735536591302173841361675723740664705682535488888943443762561928658620541335658728062932867986924735929260297084571034886612630078679860654050014099747469905358520220109153028584496659642200318417398181043373583562898390392763142575570154558549350389418671047290293581442966632381463220642676579853321207688711399423971249708361951206761202703408766394374124153263177789075240151180469654748771124250008516458422458572941559678680090842726659925014120101052569046670535513600710402267469597715875495950963160289441317032078082733794645670926936004241212567088859235074453840960248503339687544919833034648577951364675014111195955133316529585250309001344004430380300542221816907214690368533440115460269719956426806008110177186608507490940538287294907387828089351544610622961720748863599509122110060008009053242198796093793016733749308881867485201123043793433288253677209337890887466289476912323029036006805513599964158871346065508452965452431954893685449372412447853423317851892814700259479451724186300590864917123138639898487654726273958150267447051145747837081143295322240420506230369636433991165182726102419903361848592248188386602594023526377753248237
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,182-digit prime (260 intermediate primes).

Certified number2,182-digit prime
Certificatedownload
Certificate chainshow step 23 of 260

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893647775 --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":1100000004893647775},"decimal":true,"detail":2}}'