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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 #1100000009091972262 2,079 digits created 2026-08-18

Value

418033655722199986889945953234442834539574701064840908001043543976393188467522654052410381930148070878388485536156067268709918709943683088075424987747263572150462926088383000874788630587458024932936753803314396286354221442690138082828536973512618521520396279042710211395175107886402083017820236751204746002085495923485799813905988175100565913183082865781606718822524266369852255893072488299817008090537508885496981933896869277976835154060274581224769636389970061446783739446415932785967548843851002458141375791069088079810957390527651825969397555990884957802578500683820686312331876443105137639498338060898468488080959704395345049588859617112717816027140367456697367516961034181893229920111653996587192619603431697390430008526473582891031519936048560698953254790926997310446449343685493565782838925073142276612015606439430845928443263584079454890673442855785147809348529044556300552137382780567180339752282433952330877563274602207249922022015005501965256681731097775800361509729592832078410716592534053299864472780665032583718956683253899885330393488005182733289736927458992987892023415388109965629809610322998597351605088310459195696535006110243008616582266039841827811591642306057931220184587224089439162721103827119105243731575374157448498814393521625836943249774175242973587032555187180983936221918489429914301441828586112860210588974366814150951843235045927686173659094765385531859347503373320647195107128457031893680197708511445812903896863781002893300940979899305998308735231392285897986126267973776868901763475385669004678309398436136104176743062931356177345940030623242182681668726549057909388489258466886629910481305070334424913683522121491254152413918387231774589854927743182796786544445936126175038762042761202288991433882050256060024630760482638534450928723596977349646950685981746278336333118839651763927930509529676345010924920057128333836080066041274974925211690099504306386681690556352722101600142598500528941028372478740286282921448543712006223008301207475668512583422526790619366267423326425335493153603579840710121976386708181392439872727982582716131504724753
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,091-digit prime (169 intermediate primes).

Certified number2,091-digit prime
Certificatedownload
Certificate chainshow step 2 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009091972262 --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":1100000009091972262},"decimal":true,"detail":2}}'