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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 #1100000009078199834 1,393 digits created 2026-08-12

Value

4448824206964555416938381415686757459108125219637553079746320003934372818113762388551594299517601089953031859025581544444882610817985267187353980423750474710758491687743264163944182144178556648762139459093334881074748698679155066306050391815664764217236087574189259633930503608037803588541029597688125483884007678661257415588624737504226905336810990413997084426798429385896807601618545270722952862318281131253142101120450900702106605981890667902707804919246413375028972964594086962454850628101635368164181322171231440112164349355690820614591865743063916775202109147239328111652211417520101922903411228236796540337204119987714017040633508353043767124743796046751592667480559914893647306081397658204959799263462347654247046424948518325788378058675698896515684978646987158860064472099425505945116538995399201889229001527057778065274434237114982561461087191172225570747668134628925739203952466520754250588597188506922697351294552381924485783826307809718168801936860224206057063505626224181805337694102530206780680185745281905279432992951256377094444816875985759468300339702751991479374551958757080730208947449895303062166007374927873420216779963689052313589517558959860936309847620614317588307910061652022141716899170068819058153074602981057295893671582541627802795026925137255456212148155352788568853411698797165412592141588593981551257018608076398272201080646198431465794201452207341890758181659
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 56 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199834 --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":1100000009078199834},"decimal":true,"detail":2}}'