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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 #1100000009105165416 2,548 digits created 2026-08-24

Value

1250810099939090949295562392427066241390015737380833985751853944036711526502617974817956688302960710327059563419574792594058875148562084108564933711899893797245561405012245122745330468287975956302068803930243330481744064086552799932789653591219309392468035138114516730249249058070648700923191347943433325835510656492890543091809603401195837298295110024039232887520372102728691456128043432996806888811957999169481009515115256794833487054273237164816511660735423704292491313546354121952412952773742005582803792483406418681974941452883561283178911163875665059714213977222112804816530554570547523362509716441796499422519832571734575547911947590607339586772596959387127952309323899440420896962338402920766332921406310459475396101749472679867468898902618563638958099966696285680486271481770869271384982326210731657555272828243845756706508687047370370274515577157427644781163635353754791484475089784386078202972909804339666279275519710432445414030351878638483235256693022723762991071265777297363007750614062632467130161368309394774060606370188760585214238010752699193854330054138966468210875549780861100712800024533357571331580766562363862202093502525071836581357329006330010488094142026407599590650189166806007619269089314809759892447284897787106049032854998913301713006652132586803745108882995824657224097835502666383283813743146926028099594021830210952289652128305824529830350344874071671752969765824404336172511125854710007749869659320073918965192604189645078502234552500432563670121028963129000859470678419985490632521685026744899364796443806907808560081895727920007883499628564981031111858528789005984776772876901258447977880854956559789096343755357349070424982312812978753149811750321652935853952219813950914242938498445387242376554494457431762138829440276221510685708672872900111672753196016254758782259404605862649880683954325632259547661041049951707152313397000532193632659268507719948835194031731777801561209729755932318656030311012001333257104919074948988212967673314504962125529232600160431373632773718951681429822699145766751682765716399501709977244063349449848925548780714652209211543722254782908988271230648562230881200668857593177245729986006932421512955615288989945561279175914655929718104942761112395274538419013907771383700614561395473624334196284960382044960339710494478730148633206329852283086924205006152080169008378202128912259446899892784956873472874345056754361099428517479819362869395720182617533798284648536950163564271319191626997213016405215520399698781258432489819638680389477672402086810155424586085216588779579063910781527
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 36 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165416 --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":1100000009105165416},"decimal":true,"detail":2}}'