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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 #1100000009078199610 2,114 digits created 2026-08-12

Value

12912499826577444943885420432972918339505851070148115508925044755064173540538069680195145257734699584457262192789368464445473308377115346005745293408051380516295790213510041095305171649845569099434331048001626033168475909873591753903219644440873070279201788009240880581365536147197916223742129937918640129452568463781615575361458062563833532589251049682130303867494735262144004287208754601990448252071575211556530541059916293597307271012234059010053931862792607560390563262283843717325105113388522731884466367256577412749566926496391906976859225381301856823459766947129357442668677887274533841703295036805791796199721218643064167852025323454891780640444142217934893156520437982979750399889884904139388282807238868927631993692073556927138130578929744985902718914776959863996724577928367587609389343379118390916966158707851249134702318548026246318693148738789574418061377989603475079407818727699823415485627361747177647990802893151958138871059608414051022496891210981299213079396337096342690992203460846140062210257922412388190097085816523450815182274369826649720541776120534512478028573491894685163874007469325909342905796013566833106961521053292322880539515547502866529165969677458541224343792410519120204132908023295959141501537404388530559957858442763082201793952658411657051954057347961958540209786622467428389387786836150754618996851860950674684552212429889624805233349944463148523047364408758511400902754553225545708050792819248008621454324034721674246076578951632927868097710557631860054880267312718335954208912586584264027671221372830169377854756539431710186660881168336052210708110457694361733328844157102745533660502812411968120804463391487130377969320941760504499584134625337969126452080247542397589588166143687240896925543506267438634380749133715965680958638174621275435099494011424038276832985881335780422262457218113089933570675405453192377254996758704887954018105211786085955160041562576721901485711933928759669858534725390117539825163145049243244126480055369571865531577013512558151584361650486997461375824940682256178315661372295554000451249323004433147956329790217658355922806065168215183846954711
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 3 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199610 --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":1100000009078199610},"decimal":true,"detail":2}}'