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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 #1100000009033139139 2,241 digits created 2026-08-01

Value

168508587792938410411944257688344288900042824646895461843323741478226892123506545375963094438149034319700252423945333320593456104938397366371874620478218409307532200696314820050996195719570606299555652837855774360400471281390008262198738164511738720998617053122844467109131880956527477131432701714689639844297385893284359220488151580884996009627526369726127782428578802432269127785198440231701229682923728575992057423711805628698267081549034450962595588404319645785357670916979651223160897944355266532325379144149638811029030237532540357172315202511350433610842479339052528080661215909030892176771749670607731719200416827260625890670727209949419920464809320792175508891907771547826639898625992068756165412362282458064167421996180978142604797539754369813695133373626331861421529824706450419747872879738001872566119262483670105058964225340496709958123887825716276863299105861151358324576046449034531678419713471133400977946923728222891778243709946463113741507805489958187298300609222366853708425463219926075044013823883539687378111492047988668909448939760031271333095240566638429414391466074337147102121429160683648047790951206181213755777658639840679325507450782982519637914723085742347586828376117895075414853601760670362580179077694772585811484509279524814329691667325710917544517621803749208323263305233510594068723789751527291633007267469886261791725111369060134836550550136919952630299300325074294134666135896960803966418011109018912086644228874203919900880992412206216070105247405179608746143640108946696733790355714391544272287803565994778256064238772854351472110666910295549041612070282287922175146792385724699100486051952592936788135186241752824782940387694137583719482237357786296359080592766261642222472298346127862401159275453993056830946334586397776193259140802585536619892511600788278037597297905917425249555416886839926541494365411813271207024370537528653551935838477039599211723516179491470123276740722511758130828827974528417347457980850374958892914599428406406303017616220477662033435744056762713270152133119675891704469521466509222795075784171774476783645743319419371653498883814173700078743856755301466108582886166030531347603986867621159195817983665761699333434592317928762227224580369133518090487241012584355052463654507
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 41 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139139 --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":1100000009033139139},"decimal":true,"detail":2}}'