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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 #1100000009070776969 1,985 digits created 2026-08-10

Value

10088267685862599394315660736327159207159803046853775980048551648317049277442327045028800379328516047999786084250006632167340899261201421861599728526968964786012647671168219381411062405117752712941171589736183579096066569179636168124244904115093180524901816085354157137188530662373922965768004192596831371481244884698701490129813841033970576771873460323146808537645013012119099500471555588610479642848844883632013975619086837774444654548870743018089457891124567512199081954986719011991713611462057824271783004037504098898129012497409153944128510524905000696735717355476369347416073060516863172581453495311783171591938539778278062551228350146047063762833770103539248196891892677545669754227059044330293051741977664720177229961531546728175132198952611029242873822427490272185457669324751966806776687150807154874521316316793165048931523549143491651502275837009534757426617972589805535001306529359903225695974761438670202988451225496250301131873298690259981729825600212554346302567143318127483836518319558847517409666175180686186279966717918589018503634887051700765716456180255709945230154956646088640984489791390210330658210790898473847832513257566843865743645654428008197853907224570924270069775593799378900281520852960408234199132279626164327574371698100437883215253381077189413424090033791828564866795919612805973258384940169583100479634184203699602820253167534514503286433032374254701962372470269063413581875890777755583245324576075081856443221876295038814813197863009070403927966792230989434967957480445553578143989466861266509142745605968356902459314769112219968286010009566506539992767572595728545343031540449053657754257177358759824551486339382137822229937946359057760485463619726414766133264449758812090768248088395804267795186202921531891470362060486840715879039763910878661518297064868145193650343691119625822494293143908880065343503121109077541865169604918523814341887227992878331148960164541961989225176949325832972653428570216341874648544418800019681949602763964527055259899
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,499-digit prime (194 intermediate primes).

Certified number2,499-digit prime
Certificatedownload
Certificate chainshow step 39 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009070776969 --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":1100000009070776969},"decimal":true,"detail":2}}'