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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 #1100000009122012911 2,321 digits created 2026-08-30

Value

57485101073183406782226495870298296463746890454849161525693230943713883783825346086878827012623019030263089614599996626661623134675427402821250745509102610869757072773963071322072349742624662171894161539172054065905396037124359746524120854215422537202143374393027106622850972231462381065294173831261285275901452418697694638895555220066839798122192187759709532065247509806516115804441521087351210584989893959925833446972338824687181159609885993534507513550174677273271885977312596952119638958633211868848873149867879796357066724008422049072280159312992901852586267946996295584125865057246007066014473309718751666594686270316338289317260262782632814016817849721374184591090707685148298088872727827529522721459615839733982647577110255564587787328001135322138351994701821391774742981154586149187130261410459942350534362452970688600719925594853261542919789690536572390259306831349616329089456663001423191585758254658037740617345678624928185121092902906438698728309175547033789806070925933338515623891865593155551289888593675756541433672289448226149246291875385008586589046939888156985333929299019352484615432895488154024534486771025012103459434626007338078548238598190707286275721298222436045293536271494919404805476995278827917104499714925256133625468743876318617942922405865180618911202334186544852148272787822321607509292964578395846560157129405308736442349007515354018900620980511724447666877316831518972941716114936914093706197263807583768075315326067712398967189357398630341081527814217700128234726595176458150264007897935215516546675948080913313542687483981659866801928375783059404801279769189918343481558991312952715151103143766802249965690505779807813754098501798556031915062613090323798111349127794746450963649718473406821180995048626262088269017719126830456021500295022740670890917035457260329395133679902856538298107406901830612041311256549085473873759501747439214577747787331011425196170142516989281587821502966468467445388335611546462657575544924810367071408783460523956009369903019282404251935381953210924972092691261138774572173087810092884504130131962752589140480663785018221752923707120838249985809085246123483118953888088885322612174362496881378830549246607602667082369846011490599999891731517670503866066444196480982240587551674464659948033049072653976556055924064984156326276230672679232115050125393029017
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 69 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012911 --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":1100000009122012911},"decimal":true,"detail":2}}'