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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 #1100000009071886388 2,113 digits created 2026-08-10

Value

2265224197801322714223413217433548711861917422042493279935593198121459223366940764688133564378053047536411942228497863382749683978722871452611570620087152087732989073893462066549470126117146842874834549388339608020950204637041783043617596351729415927326550796212035101164202966542215417110101738067430347082252431188471478735879681157174414074081625496605871108540522179398596672599427522113570804589485559417666134519843039950641972264033832132895421292417951786122849376943053254620314743019549996954821631510715004361676701393440447493796356562093677224384669663108068256410662220446842094682067340942119741539646697730196773202714700753754634974805897737626530182863600893720368726383782351236179750499211499532784510309880549371106257298398250262631852458544893192969557603161404306797326889791243257260713085038028568617773371165280664841352643793777601557330524704676056355627025389186935649494674118960404655064827907770200785242059393599412201114034396843480179533644695540993191104790841520065672243239985355190197090411970209165527785301467058343186061665027724220307948099911009875416563574626860638494555918302356671772818431848070513191489130600468573819607701482774721117788955750318586649600169483416973548535666098908992143580737782083044066066150543363768262582969136243831664137926524479918879494326870267197197118788199447018694007372555614061802664562333407767964821434007022603811347455504537544595956186775221953852805694284696824838497328782841106507676113367183463324798559556206053582008511639492709777178363362621324808742158983831330216758601045192919974278064205844004783710715142374493504195585373489030464568600736781009852816459467861686630119062348121317127430515169852658881322645400129991441566059719897000880881172070323311463255856450394904323349951678533501634951052605296414775453143342483866685942203998287146169677986672935007382415433255525422834450548553354630543972417669508919426963591043526061492355563883321958287707780710956033636065852729638261755204078827346878566794537252518438886633192105733658562319421903322554422880460266556046438725964492053671752601678143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,645-digit prime (196 intermediate primes).

Certified number2,645-digit prime
Certificatedownload
Certificate chainshow step 45 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071886388 --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":1100000009071886388},"decimal":true,"detail":2}}'