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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 #1100000009078199730 1,719 digits created 2026-08-12

Value

338872058748511456127321274788480902092428659014277534140461130595942720188266578175394645095807361297803287328192464096832556214034692265375904267079703388526700844034212861261830881356608806667521773577223442089797194154195020408898526998640978568997498465458189264490146514399476453592095145557878560865005974142497835037494180765104989737903884031557841136219983834605200934174561323918759962220594131519239016741611948735196558888159221441325417598159906800442415252323225774943084774006887030608492243475380195241038048782946783986067847720547748708062594821196409106914684990732180676789828020697398271935586704588250460259641171579917045023832587287407831939941964366625709121144028547765580896900891510212963967526537117883614313406698876677299347821060906459596752437106337490004158980045188690269805537158238405653207911403448056860605752081133420668869647201109725811584221683347953436893206139583726410879591599409214197902290900803192932747303598665542044483017488149061016678697342756095691975447113216365045105372206913080631120450944305419625093037230586951367846878872587933673494382446901075830148828516229178085014533857202897496893552957958819609220801565948155115186848499802431923946423994148564738750411632231843245255923523086905783436201366582426228713854485611169690560279234300301502253991268623820586911922567007334349224867185872119419404896796357103063609608001510824492925980459448742301101414188383465767962856643854265580032795657638347922897489190818134052098591752841331806186593370356284618942836627602700118246113547777064605798667959822187397648004846587681731892378368332999724239138968890107344873375439309731878191063942854831203707613716101732198987519501030353071553659638273
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 32 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199730 --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":1100000009078199730},"decimal":true,"detail":2}}'