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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 #1100000009078003469 1,902 digits created 2026-08-12

Value

138781798891986654270651041164740801395184516650371307138577450511922893606850386789459311748770153973079882345100488454418731270990410303062193127006016512687180037103660137118668673445352559023721297365382346562847380494593673725191686566538329692330108446089852707192486323482506476668055307444374869934327259985905934379978683779338229886989445282371415150027568676521329511329319519290746356006698895647607973093827889715010666372459986452786611663333729660438346761801251550416671987307590596009595956903884839746767317562958775573738608386303796437125393062446890279862666012076038974690687957342796955663250919138052243205034508889254318029081881383822837856909201019195656102521536071503810464131475926150146951295384482194193143396310492655479999296770817601653724622681027755361703662218437489659648825451926869545024371932736485461647531090119819521857266113356105457867870192427240316685764368216624056741043495611557944184892257820742032544411901366495932324741885660336247746543723127822870115502185571585287526069407622163720237135701711745609992513416887256325169644394635147979166230289331156024186007190887802617498688870952022316634130369729520700412067241401027609241802962061282031664136261827557925395524761605767483391724301696117694101341221442196304074386344797523063388966996332179405337567196900584506368128785998858016299319543539500553604408864545316187045975369591158103335195106026279146058603616513194753858150654655744761371593544110019650793191535355400302697276344517948586926764201992629347988821124609957386519831827933795856734068827267260244433833700777311284495746962553153331104761654122247241357202833337966850749697557593392604544695178925222281010895866765245978935621476434944689829441644377365394209388691132409401245780241941609873361825300936290773239193792577071870353173849396023079736312469214379192264264356718747357896053849843480490865361573455787
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 23 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003469 --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":1100000009078003469},"decimal":true,"detail":2}}'