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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 #1100000009078199614 2,069 digits created 2026-08-12

Value

35785634701063686560892075294552366999414433120694515571566119906042451466664275918026372618679552056714439304771796777857276173061530329783315343175138347659625519255007416964284977448466569030976914058160834046204900477726195356686899738632904943105833141211899142608878973008363550283255523354547812188087001618264774599463768389917015293263592002728892498738293208729048786255136661639766256425573249110394809083072452649494055345474774305182506644537385982039802209877605445205732713810893462961532509684072715722505962680359231666040862075728433831368499570711095965725262699564192578214549754145442292070798185914337894419921974107504149367589463509055696350568276671873880438026751513084111745348592577788935604804107306940684573353140295997871851687902050448713893702027396342946332605843349181407862904898389760097505057911923632686761102391907456553936128201335905004251648526649263746970807886969492473500361833234462433278327200582296914873715632209383241351267993584850939909949124639155726953034444287669952077982173877470493355162363718271988255615416093254815275990399362900793278606607081396150433754922006168120702228735176100685723345027303827411637462126901833707692463544811772547245782041336170738118906994054451272542556557464989844620970908891969356739404491205172984352043796995323238375508545633236002926898292021762992536317209434220683026936101479859053975481706877779872714539747833494343687929927016390247156102244441351372408232625829716403386003549734821094101114580593989563547593933192054758720017976053635652040487151530353065132481429608529944944688015961754664708008356064699264655326812780573445344025339238001546636991934155009472836174925789608412575341504117274395516737577713246145133368989799749696750410712209490491554178386246808180283636338810796631303802897817854624148881985205566288573391733730418060853034672711185366822661811016145853084391998218286452930043264704839827794983599486724336578604358536450869269545805949943588686322239953032821361097010565184239175626659701487143656243656843058412584377961347803997363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 7 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199614 --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":1100000009078199614},"decimal":true,"detail":2}}'