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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 #1100000009061156901 2,243 digits created 2026-08-09

Value

30625682381322513088441984783907986050058641209224657356531542650246399749881647217751648376164643375902915648935699962404777535414975845506061558493405893066395652865257866754600260963678585084633752704487659669375753094838331430724390668619249251782529898702059798062562362079728771802596606748597409924859706874469580848567650138775877332109941504996319197604212246336083169038969622188967191301982965968649000840371747115675153924247311309435244668773507609532699974426413504237122716875180605363361616072149044751066588505017053258515958167914642820540690693230443991549015518908326062916759746305142139244046884394156668468882620955220412142605519849130388991167979471813861582239232221209388093593158762663874497374235245700628285697737190968835751140575931246802416429364886803629035749506419665223827207329733692147704133526418723875016969307034572289690786088853063756340705026225350487885380741563363689260738820421436752433686637193389906045438108945283154906758001928901395837879837411929324772216310352104677229830128315673697647074676510794083586288827519579387694491310397838720460105220620148485815147396439631571198225549938754989955843201440474787489864482002738119843247506924773639323206304576941608337184863614869770809963587534161248329274590800958785126004388777635239350933825978502016614129083691191970191216743250366244156596788552006845506273859908557392645728750622479060330454472416266033595637459592795062081001698682357248300024086281731885581424609473696458185803338991931993429895381373554409822837645853296375735779361415960699723595116722934510291605118965811976573180519501570486158310064764155624394404714468365164376019487762636968751848034796096468054652835938691834564121442564224842650984329075545103357375099947867841084101798963493169646242462573479858227441004506243160528962097606866564490276455740072907589542468253067670333975932203114243658603580601116907965297287921986973057067445525575461520267433687741047944111583637961254651613743162800901278056012381530721026454003107031196341327944695941013544130869372924314743100192994730811267415567568072473226989657873214855615477127212105321912207659850621391463888309651453384182892124756414281262201764468298463775385720061718751223118454710691
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,371-digit prime (183 intermediate primes).

Certified number2,371-digit prime
Certificatedownload
Certificate chainshow step 13 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061156901 --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":1100000009061156901},"decimal":true,"detail":2}}'