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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 #1100000009077935678 1,578 digits created 2026-08-12

Value

124198242797872320257539096430498376698833199196284445727926677998126245807361224129784094333942154642330511444640386585398201182108872508021224590233934506850831521048404292326894543255942007619290807247853639864688761376906714025346726813837715726565612421246517553728004845373424205207709510949321945589837565601697619972880516056744624246758113285471546025075957901890383541428121249010026100966517207428802667250804678694817743669630078599202635801468027140830466903128105069500335067460840373781080655624102369205785158487124546157795020716146234477598020430277436520980565740084392808889105154939458711444187780447922902533762496089261573790196822845660742802547018895662275287944637037595152523171109126178158265391344276428472304142717495775502953263120788835148449898846656392520983970326330473103806002571902343885923718849225260049573223111437259428537690414425697991658686955198496149179492041421229562635918545305513840666750978947680010997015286759428469494126477658315206449082019815508423618849883773570176799657823604185197978637497524525987537318560156423391657882444406735120437348506076412274089142329251042608909546780127289932729362941720276876164407441300796602958179052535706943996437420154909321886048700102556776817358013679403657490726578905132244916777743635607502548274330734920060564506758255138589437601190672018355740610851518839376648048892010240181105607393519233682172645815267490924524103228467640881684375829143212700859936145238272023503762643784520522874202981232345041445452362620313990210244455623910811979402655998818441970842708839193
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,026-digit prime (151 intermediate primes).

Certified number2,026-digit prime
Certificatedownload
Certificate chainshow step 35 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077935678 --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":1100000009077935678},"decimal":true,"detail":2}}'