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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 #1100000009117856248 2,364 digits created 2026-08-28

Value

451758403676846526375727893573229038775747381615123971565618252114605738914777764772405170408719238499586471480533205151739120064317102692181343356326025275470777358544758864688544956337873450675442314807288418274792001359010084007074144557894270419576243986723065165889678769955657814946020334406569984086987724976423195980265644414787899436130004511358539481707882564912539268464635997901154584078351202541086940452180081054415265871027819481316387540977920339059928948465271781330238025484773908740664867816450513346833760250189245234833542753695964350209523233770684200908308679350473060336387543886258759080215832050683983302697343975041859733099837470856835805439361110269637208815509777694673082688175677431182438553598402642712863502743756701003886800401648931936854776615615234130330485634748897461442322689967311172186718250700841260846736755674419538731069716822037292783588473755914304935139809300446941284993933759999054047616859598225545140649058050555993092128386839737791735422638188048832259649867551834457107669365141398407814484115254827686935832675975717188764328898230346301581302586492859920588629540647884554700282179417839366557088912411374202631067782944133962140706520178807572264872313088096234317589003936597054546502490900513383921853360771450974655703718940225594151829200353768147509311887081114917606590867860821879304149829764539168263792935044528172179005339948881187733505216286454355443769225001895770441318224177678506480624899889123991983830156605466516666090142151958969473797335902662722335603405537588853896249942376635575717512510964105728919774984192911787749217950453297657172429128112294569609833316579064320977330311380967421541055010940882095727149992948749638486702215285614835371256501237044776426263798901009026825159618479526301664014774395350237376990474177438457705624754161149148202179750142684405040011629384813429821382403339319857599799900228719329640770614878803430974999969995039295465461321396478718306863460241246881207266586070037132761336652308380122497636658278825521670163913767225490613568731920178139940775919910637722921340338422619005462215683433018386308280089371251216672162245481739341657319085913158269765123900622925999397896266124629952346008753591222057720464622700226238595670226939348404958184669544900879358850344375943567669103413355591106768644291627421136215206045373205960514501177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 3,049-digit prime (315 intermediate primes).

Certified number3,049-digit prime
Certificatedownload
Certificate chainshow step 73 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117856248 --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":1100000009117856248},"decimal":true,"detail":2}}'