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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 #1100000004912872380 1,775 digits created 2023-10-25

Value

11824818724496650416212273083799117958142779546689972133347689746492700135539132122237909147140191513106726614807972920939107228411166502103600670802923545531983411630987344358907599596520968624767063684960950768574116796381006111977570924442054571984400072721747820802793080112056913921706338566498738906671571315284004977736299294371789973714033257802506472012766203971174466663127597897804671676810178023576603819132102369116181539744190677883548782625094563754540123423033401655034072844869416677371540513330586762426517241365812469901623328226453351009061902792993023264078093753649394031075327032117911403657481076392955794171131420229009958089417269362826636153470345017657151761575867630122120003500835157554260469685884460013151545608497255164394002517514866465469169288990035243907558223207229485869870265714597551313734037695954065956683129027916359158660565313591647358516480369967107167752770566156869139499156858511940205389643647650227247571623960945249447271760761250438671095799966662604449408171564506487057739703575594711367754165436704518404203539271470643212221374042417334069697843391963731054638585258378695414697699481961764768598431753409097246895824046970044384776912007833420188138318250851807973338220273143609753970288053996340393665253078160077167956572176391434636016530842214012319443219509747583079046016679659981593359438899140533851984077245140960219452006630615499631614338003776164175381280004947980091394918055839275008577581524874879677109290811073656459694511720247691365365414544406407770622655963217920357853473276339875441171123630129805831136151109254432223325698202823427517769534021423445350279929583929995341102186910217056573330947656218548339803252324757147926620305470896331587196745302349559370157347136625486571613972530121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 28 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912872380 --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":1100000004912872380},"decimal":true,"detail":2}}'