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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 #1100000009078081044 2,013 digits created 2026-08-12

Value

132337183870796251787695747207053143281586305728108154288122371517396670172058289236333977734795374300917631805340658863457852894926683831344519977995243379312381823000259745557588135282310882638292692495678160601523940114492218337316933705845843933771876800671532253742233802003235585514401912370400818589330576328052951275525377668046144778637101861519483049202318791523666088857077646517636987077882570703296554797569684494533681577577367792186749518446869409103534794501870428402756203600176028382573120520939972238477298599107996002832277929793323632138170334615473625223151141854402948319420690797793910853285738294758163685837743572222739369382163628404657014911883132071524319548654171017134516293785099185702032090109636946305351692486300885647820052872908606624947284003282132324360615168032430765358694437139068934407860928105729099313793080041945797000519228002311231104221841500206894405261442567529250284632154150300755330190241651773044095142764546205443497704850964191482091970177897856836814728837830003670892938946372758955474110751384939808921585814213204077965268811290825494471657807247560991975383420599454959244904123706856622917591122876500419467887587126321038046602506672612749336046784230927414447921035514810626376627688672272989528099909678057220354629921842761477808498884133046180973111462633557059142325374681832291059488062788853018956402704464656958531621988052499442221673515915403241662296779579940389108810099105669166433350190796940132797868644065707306374086940743021369747637104965208256657937819521963523144180482595115359262260484815080645683111724459427559062670342901128902913937161170062239262197718849553582520208729594458695606776767228672411701567852358778600650461029404370851802613530390314718935590301591111905881012183617998814869521390491058447615376810461678484231519670067014318912948775462406928578509999416197999714181217809901636360917605971101536768095085343401720950620684796300105267947931853641953181375802631280291986251426724876391101386889126499527
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,027-digit prime (153 intermediate primes).

Certified number2,027-digit prime
Certificatedownload
Certificate chainshow step 4 of 153

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078081044 --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":1100000009078081044},"decimal":true,"detail":2}}'