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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 #1100000004851443712 2,740 digits created 2023-10-24

Value

7835716995409567749401385506838582433991841375951244415702503788192605204656324382422373123384835353813361166058114853745475061880721323841989714041539092232752300893104970216413282960769843855365989199390722975296525059121758086229909532476770133991483858920982252191227847282323363508132214711850709870780937176302979612247760975877749949962300296291479953333993772700701217861399235310855183930814596699672208438980954683338913959363746440015420784164890526316246750842304860537206464020617472067477992183895995469060454568479879119040873834643018785380724533457325432095834637658158244510096416170718821679609202243138149538198229251443893602675117344977739518374439591730873957747038420694891099543841030310706948543329538047724569808319944223820977404585524233556075150619535652054681804555524736678649008938016598413263051550105334156240105374294907875961855398987728122409209622500470423606195145533514018637305336061310202941330132147698288504625901876848427655562228553459750010758421021020220842205999361216959521971699651905130906739053851456379140066554600408446417320765380309526995184998224499292489636221464715663088839801318023284413261057822728219842127754114080351046351229794294398816515118815430730405143963337584004318775422743768341616373124469191565848286352878665446107655940932182297829895780281544777059776431707157196828718074503881350103903951650781190228815157126068065635739982588227654690885760502886252866407815067639705147628414711047645973752900791881230635887053427395791087377306801637720609929315486284425555365880382899852304507508003649612106583439583146044597342869695234399339161962699596894005883246708581946331153156839510834922235041867384474349839822733792751422059481949404495236522909699396213579356453936271438498125325196377005141575252511102545869427994280727931931537876300495491986062871306444454374356575931869305766706021187776117323893531396775868063722616889579478108080503896174054555551850188080217977893836202999436879852806355242759147519646342876444552746905329577512214213272990878327660618054425113086993575805785458324714595486415504527343192295877478529257933497728801229071704016893648049534525388310469720735451375911029778808844555794118083122412346362557820381193261582248108118987188564598095919215315506353031507669134559749024836841684497882044112456711515747414733006864691749468248325011571092699165144940207540370992645830042057574160997543564716434185364177349084163049674827210504007397979836208290832321901787941079116977066353496431995618788591710274524661757839174867597012114509274842570932350073943746123176740323280701150225397670863330555730484789904631300103572483016097718243109345955931044643978529793450013755667455576738500386010703985883447609474957
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 45 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851443712 --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":1100000004851443712},"decimal":true,"detail":2}}'