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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 #1100000009079602201 1,965 digits created 2026-08-12

Value

302919339680534560174361692204368702214691485927283194900084477088106206812428085035210943542155706485591681107895533871488066189061039588866799176026856202891131353896816858635242024594143656840813317159983986964962868243594016483763805955518387310245395864211635920452866717765773782539486634793144058799802641287824392567439260499183271415116883430589819369760120104424488731564981231974431568399868221892854178607532017404257072207032180246131522831535837205011485988513959936963629928906657677286881373918428608977004850980115904110178146141501621761947822514287844448693897270312108922310423708462626472481089287895574756072250945554654424383283469072715280140747904562357294217802176040741007197975145609221146852024069895245983614399512795009102649080092056645392519460481105121702853322628406869223482367054930705650954463910227247059158446151982573275626059108490021125332911494604870757136927173349615388170037840301539583257058812534389136030067958975096969510814662764521697155646805899118569897903983003480458187728717265198992624460686214342595870295188957261713906814460397192002010635103211793183324421350199133070758830050448123170430050729755942505426474873262512902235049580581105438810952792127266520472368400435609491802659044278665365227524332280778605424745440920068535865546477364340319355239603288480880495031073394574400576881568753580376531278144100452308997228648016116557599201008054073606682063446099983747722395520063084560131176408546008923419378927781423366595895912232983921881917205091774129629431912895631085933852928811346778551926798737083231710532924321837598710150703942643148297366038165480841061405744810689171984478705928757903278477155659671483594231697804977362156206036219380379859198959820422286885154609571415732276671822375922067598418237566715793256864898648319138719977162085992763752738733312206049937224513511580090339543448211547684842695313300767446528174881797859547935457692612998589786263947639257898542813
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,049-digit prime (163 intermediate primes).

Certified number2,049-digit prime
Certificatedownload
Certificate chainshow step 7 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079602201 --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":1100000009079602201},"decimal":true,"detail":2}}'