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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 #1100000009078253289 2,085 digits created 2026-08-12

Value

197721617715522576790304146038874949603534878740685916954028890337172475777911708528732012221600261278018522140118995337930894369784932567217642694920117008910159724731421254144973638544145029631792224360762009914533379797406106738308408031590811098325570795207053161377303141394358733679640737471750082963198894689131407131418780811034174614781604634802952408144246969143806958958534065980970406047042665522345925943013442853395017811294239081708232215925984694162608343551954022570180013060508335250623394223759595752448989177462696172828951845616500816109136868063784173537963424584610340120205083874447051603521401969215253723415678193476353375939518693574898413910076849889761015980663723539873872350828719370476663518460712614316503787327724588618671624582617895644891128930170598510075018253197262524671598830673240068775466231193055886488373187118622655924038558311495605072784095387975994298981485425243358758921355369562773056947437603923170627484953374884631731024942544311714271069621498359819725583989366662052381141046389526524366198456116375152206317670535367727019876167229714333882005108284127671244150772768604241757391756992371912102615747473814606536976051367049700060343903063551991570636554572361523745121246336771533850353982157172512462350168421854174325094734918464796622978414508628901921220459628232144991865370255852616721187770444676527138098456107854579549658916584586503973650434538719342384060033667498518323614134600714880869097389113112003559562594570541207952989107291718525405487073802631307589993915588773175837252430594215184937838268888593408986858202131709026232653815933930985657090903784634139753757445292351051211628457147650859408890687279238264681014242389730530508636882486860724745341817614102468584705570712809995101452853766664493615550403614872574432323615811805593479798636965619197934053574070349086423309388653709205738801519948680640877150599529686458479367165686170856024388136685865898208064952938572141389992758322450796875776798230246614214162217103265923717513656932255051359774751645253278336863666580902396320571325658268633
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 5 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253289 --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":1100000009078253289},"decimal":true,"detail":2}}'