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 #1100000009122012855 2,433 digits created 2026-08-30

Value

256501042672719808161481964171916796277013038335149427883928544549288835452014814456057910140959851739934829910559544250525209958026615136090711816866935926178324258084779340623599138620829542524209413212837600831644333659296471437530346251853476565026677100992928315824283387453662546406013961678374187202539004083175925831521879205277097503756357916883764528577457988025514367630104820373586084882280138769436366447145415432773408021851591336390048608982415420241401219160889218389325266418634449285145348869459382939812046785879377448859194711794476377067240753240670533407188198815342933028155028354427829169935625919703984056947157563845341194077929906375045222366356113002195005446991408079057307864021472122277831607627974904396796143049570109323019455322906385300472941728323792594369559781809496766066322982597466461728941658866606588022772365001198734926033270485752098862820163525290692068410018182196202282590622764828998917900819061424318016094395272844213438380911467969529342016603631372964594115029766804881381293794603426473595121047570579403687605379832188961297096310248758955853736406534449017778680183495503939638125883075776347021058373874373700635457136285355046514787138971217133707287320301370846793075079058875267272069711332373155687023416937406906870363008506931330687884563911525530942790741682474897450143967795248873045067117284391592349677998874075927682191818516649962904977489109316604054191180040523950422901971665272315502577257052886087177309459895700586189831478236726715233494243664698277821304025426091455606740495029273115053387749430689127787647746916002672499325126412544259373701558259427354371770110651721132100338775000013622393410970314032794783289267507070787520446466482912020857574771425700427013051657864229998809125532456077411004663498653114431570876539157058470929587480297663041771472623345156051984334711605670387526574279619528529774494222670796936734204354355946278879424834446646933291266395645111586234703401179090722003758755238165243845914064980443609205248531258511481853480049186370414446999012421990537012326584428329025590026211372802909992281045405833987565948178657083107588427184622787670927710010772707920011431241174218880182584905048030534459580931789224655920368644720991368371525942486687805317450875701414935081693905513582003067880986885927344781038293651075021804425584510515469545686000511823391893112536582493865269646888623284620472452398980552263734083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 56 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012855 --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":1100000009122012855},"decimal":true,"detail":2}}'