factordbrpc · fdb
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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 #1100000009008085759 2,557 digits created 2026-07-27

Value

2282278022254119125691965753072474586682318264397203042580201988952073029038996789566275140566390051648075276445358163249153598245530842467322712980724126735773929292731218218432459088458030949099844541726136762201910295050936042638297326748207029744986915727627963701021946752805265566809288634292536877450114310842196987910002488880720464375249829646566879370576825829427126488632969334005932627554593440620832446727365645060069152855371530080623956912539849966584376725033442357800267299494490138614482099033370712554993951341393898102976264267133075381241686631998423470846816501048909300976609826759906443632216118659446984760051664858023465886629695287221449811365761069440082590068512072486504385125634602914883273703412643140485895823421744310728899259659896101936008195095897537159680441095811527571907821754275618981200755600146696377942158110549928528260671774597529766269320680029556699686477776359375982858643683913528563882701832078324445933679072336704822175718551878975992724993162417980977448573062492520105387233872783872767805871735957335775937836112199061092850460787346957627912963391304020883049014367102899777978794740371875905393206982864243001834907646270418991706229167215604786952245254927938254975189213001793074495759000811773716202766210319009708574722098439140881371592755646448094352735424337163595325976141080640247704305980282039959945298901325543420787283414615022806205320649781622331650169247701283331520246115552970929540310082949384425045354497907397668193523035151693822873803911249671477942005558411685080779412572258911372146673267919630296174497306023419550596117244324713178065375023021135479526951526569029288545943104246334197472099458325530980474317974441725005419970743780908402251835574269240709184735884441461297653287661038364946481009654204918769662528980798341395665180240864867590579859806317558434984162687549447103646600832172265202351243668008322430717296762167461021701390173597513495701213219841836311975689476560512277235505374373145086871879717938078139573421264228535245316192509059531134962988266737991509933558213073652116378755860048341197171157220170453795600867098339564510598208191133665725303651513424860551100519470456436463878958171072631555586500452619071062249772420892431124099442707836695152237963780000472360513740128430641888894942330250012702107069306445399294122598177046880152333910687014138944481321315185225108890490046523971001708869746621868129086448251045999301670165835375988622417421531258182759642810976701595564271685419284942273345136877182608378683314453728475768537
term 4709^696+696
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,557 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008085759 --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":1100000009008085759},"decimal":true,"detail":2}}'