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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 #1100000009092177809 1,728 digits created 2026-08-18

Value

703932429015170207622572624694592394122619889050180079789307118872234115121531434026506634669798994947430847546644557581672241821378860325393547980541786961723040643269578941562557043944790596171984550268184646899884854665012032595805806757414432329220433043551574629889419445275977576123059726122975902909578239577428986241121362205814329176089209208907092433676018775401275012978548201566513964122908000510554803065553680382234127890247405285703118729386602508260887954116521179373741106108695812919010069741753664864921971038282999156350060770554660779944189746242889481351788542042392428035441380060325013073367440461328807532918877012583520990639764723273488372296890640155471918783438361351125975492771815824639963639212209466436316703869522448972288301591519417576640673887888047903952209818039418768416069279092747308044277716533000782000739296563601190775904801162087579054428099821272231952954120402455786136490055692651765741461107389900328299424543983346330991207903961379953756909704336410740370818465965965616233808601550987079965444026803545368513129324338957271094722306174945270359365346742901869804008743829941167519204819570088061766709685884650399195730403783919214235702251523461876569517368017153854238844065436173960910959640033203154753465447406389341127790715419318610969331019579921182458174650152774260686576429255849207147614866347570724768289725544322779132222659540395729562636703747935214767778587281337606484364576121830646500201205190794345056792434529128721813019579489603111479008679961829991978608534699180896596153265468635594126229342538228625419447127605213792345757856938188292807981728852882197788895903905240637623442137520510490172015404916104233302422544436004506660786983464793210853
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,097-digit prime (164 intermediate primes).

Certified number2,097-digit prime
Certificatedownload
Certificate chainshow step 31 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009092177809 --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":1100000009092177809},"decimal":true,"detail":2}}'