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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 #1100000009055122405 2,093 digits created 2026-08-08

Value

37313692585314228856202818965251248679350654778125012784883373690255622603079411841032077699810864452783448469730651716068683294781036766352893282599751211800936361892537654446160999040979877310665751530099467451263319226612368973522071420357195935495645756302305226438902189516943829111867172555864384683513226073096094422387900726330091557326759797721504441626260462729604957229820737259875915251673632355514126658500201207386821156935157322629004626461013393259903759908125568043293718883899659952232005370904797568839594423795983405087940084108754245343230344570363650800284068105846862388890363489332764537683779834353219390512745075233340906286521314661287547443923941682589435129692930553575287013048643380071532646193046328815691863205111131492935763728617532829458297969569488528146879929057710136462373616648658493195995830067696658707353525051620713116900192832460266050039466122746184822064366118507573322551620768035108857215737865099111532281584507484954238800000312402421554168660048914751465553499792632242960839049068357373366757612376839269708173768284742418566110497460136065247100473689392810155072443605858769786291970911956041024092649709866123674256830090994229480302409425452743641588693222228890092641083220001562240909226670384288672816916303781382924976862976655568667170701416076163709219978429388887642109180390838132876172504067116914051863160448675329624188571629268548935932570534270443479041226765234387992825298676723021405918274927647036420878443798285462110141036817135121046789144024887244262350603677122614288292499038220727706462026766254840668859831215616712128771630124192820989695676461596268413587705844955527265062275200490300911914361041966267744770963554449246432380995955221978708184255020669759821145314811467352739984076918874056888928251797278223781935221553804152051381284295240409393417915703262824600173115295453737332043466043631279810544767584448587316619185394962593092729429619175151218007712378401570553163256580396250897170237308461155980701023944623666509068038235213580419725184422479594038703621943228238963950394587709065743865909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,419-digit prime (185 intermediate primes).

Certified number2,419-digit prime
Certificatedownload
Certificate chainshow step 30 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055122405 --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":1100000009055122405},"decimal":true,"detail":2}}'