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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 #1100000009057485553 2,183 digits created 2026-08-08

Value

13566462799176837646233172170850161105529724780021978673575229795684547169562690325955468693119261240061847374950030906158779187236131395842451138937929356899225542603316183085040673756287912415570436656357546764878545697610915769996432134161849519477876109822348809763499998521773610126699971732198377422623736166375815200111440984362979857008267107514617743390016300856231501916829158618996964942986395660714951395744351903377066835623009992867666473906072414724309579723096797358725988100436143442328864133111070559133201179900669588615674132472714779007000233948402776196633753607548173740458368841550696368687386009067983804122306706445610983169272359431685674985247126903696149694955922139991590937393987149860564979574852077195583054391603694007287174472821859795727294946335321946709772801039495242609402687344223954403883359652599148953375353589709269897358380021008031129690510759879041671953719764952110052111528996089054438739387071699437117015364367253710130841080634440965784847067597885026174155964504106607827123999159006570092834142827705438584547181610641629978243979934232284311988029230105292530633348180213618869102057671269241841070373524916472879448976356175602636745122787626950918119700175537489780332679416969132559780139359274390078150718443229280211956447812550756802369130720914596686828211097069724183199051914165339550771457020718492546547844991238246375258014968130973332312514294637055564188639388057836500370561173483793513698959542097827079070533603026090782337971333827765273373799030759214153876463432440577195332340276253565135619198576357812320583976715057381180311947397035925260136944265996634015315133809024809735121417457971876538378289988976443566582395769870225032323524696133467185466989310257695093105094552234169756094836798642103746797825992372457449606976564077697188468042051433823071055314642027158425244693907855063645115370230550169606297016575396292542147371441566129650140537042756458881167887409984235002287758462798006824652850839308324764029817812321137440718467833120707862714095066955568072945761142937193010095663674735280738524197774773657889008226512714016204115654061686379010270570692249919623251095749800894622040603
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,354-digit prime (176 intermediate primes).

Certified number2,354-digit prime
Certificatedownload
Certificate chainshow step 14 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057485553 --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":1100000009057485553},"decimal":true,"detail":2}}'