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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 #1100000009053828434 1,946 digits created 2026-08-07

Value

30648816105115779322322463018013341812765054660865695080755136117291908801207710019950395326391582265591679743513547125503643748700709064791688768836153027228118649621015109725968839660440141266740538239257505294888639929573696551583626264637094894829603907080043508430513634203941261911958036290694109690372468723891537851610240072896172021841912896420305801934903526023665824464870788200944770386076077932243142191698721828440764397411839831785179565762316726205498769643984820367417882785242801622027378142859746859867016298131906482821490824341932333512261022759283087099848012674064700563622950485214034122796035997600815035066445452720535900702024927791256143552170519138047631102940776104321604927667072164665798740253811187580393276613425656068626495005411112384808540954821403296889739462174327930899253178260778043380444331397779423477067302991493370704801948971645874083451268957012584224340257249749001157445261581011890763369001543353517343650387207878751229010081708432016047903515590070871878736046177387956794031052887901428825192535332718189523806200739992658421067804024232144115006921360519099449198540304599809969817890728682035205959767963542633379527176509821064720653680931274421604482417304526653881038491225365916834635722520333317136221987916444892228853781686039035308622397136001658025391422823803689866341346994578738461466982526057048386737923901666955699935420878703418181460216853796613059942724154944661034099626662293104240591720775305808940605340075454881064807063802169953474958492856116932904691721678890554044470487509098765277350622776975569830176971570116073672408513399515567529888200852801238714779478250340822549159391949402856649445507392698317247342390829710298854524436303077794351739668378877950756304645514664431957982655936516024071486283631778522778460203317637654698879936438223021146546117632875031449806125739191874129564356364818902404041479819313160192606920639493997942691972058686778784079
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 52 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828434 --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":1100000009053828434},"decimal":true,"detail":2}}'