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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 #1100000009122831737 2,224 digits created 2026-08-30

Value

4313773611966380276182973483315523910143499514575755788006548218050960578396360318506369871210433692539505385795575929452087902898135260972965482886825571102461814197987994879552519836436744795980100227544150783234488316530271882386247951690006302109935279912145424616882862032453347943242981322746719144649161464234169009913128524425260144727539763674673048868773807017420144927928158861881165863948714233974805095699373065167588119229646590216881709634484850398572551864395550525138247496178620568712940429515571476896703086465948566521499359169213061802681558502386626901476318147689127010247307984477434439115597011295703698114472889104221907041132253691291418595832387612578950284675945303772215048385265297973337025490200119425229619244578296578234516654261362704710242672708102957544881014762771069982973816688634154687266079841440596373604231186394059916993083251696173355151075149919635429567446321952722625705900275828714529232811273752533326809539384987341476951595216979417931493630221420691720891657093819071956773633966025316909061174253725750537558906778136825087168113659969726630624182089383150125940811594331254603484865407643931809260377909758013710916956995584611241940151060062579452265850843376458886941936183014801520523223932562452163681426325473785383804280910734942027353478780772854615096518238073501158767495892383314573184418634501515214723767159440161756427809499546085226111703694103682399262078628060726733059673232158384602637056065253738263201756316491185263669230295389581485339588891303089693042863577416380931619002970426840922778668875759099766721677304659307348564297650944601847807247248963902910759927529400970158373013168866666053180419499607132270786045663128751070910198690654922453758237864565712919411361104900097520719936231881233825016401510035772327202739034267142526145656057842002754200850388864301952161146281792608464632988549347235499456708406061570837422585489888376363155374803900506055225428405759909934058994591574641940315772300740231576308960946311269658308322980243547387376146521503591772393544247132558816538009486636114354235035570704082551163560698073052586337855766122272029781093538917433152722936262874986088131426985076166743148266946354092607220447010941
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 3,096-digit prime (316 intermediate primes).

Certified number3,096-digit prime
Certificatedownload
Certificate chainshow step 80 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122831737 --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":1100000009122831737},"decimal":true,"detail":2}}'