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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 #1100000009053961076 2,164 digits created 2026-08-07

Value

4583151315471207454957630951015368504065481622359278656568424156168573039285641853793279309877994523131657156664847161357031787896683861130459262763480660495375286844561836853720144703841114316634971635422182047759672550157934113539889146713043018149311656269913862264947108292513548331250787574812009483110253819748628336854097054942213384750235066469315466683276972524218810984324882505863962063834455480704116583797847244622343463225163340378104862927588457783308414165066366688063500357111205632737262508878415591717683652133487481103667742178319441488489659939708755187430326897476735356260900079990768071463157624155348633627266321420392687036109732401625228287420187675083562957582146221224737427524753038692088477235002492294229841765456581350672791560951951307627019929904044512560973022016759731443535740452223129117263853201787143345152669709591771863436384999117782538557892803775463548790255739018276803395317447692731406250681341868808369083383212735294042698350909260173069028670377307255626454987107875797224986134026674632382946282392461407556560358349966218110278150076912516486050862309383139773130006303559219432269354243609664970366581175735158633412877830881206016401270765228054630148214295751440727216957108772791111586857393425831585374245188394835785231663827645218265575903250007093425018020180321304109581466808620078299691578952030943121961722383931629992593970476002636978786375284467993586962253775348916986755712274622712153902266539574275285134794843644486291916222539826768958309919259266918050469787532656837818676031887668075543250777868132946344524638816136436975835167124291806896054631725788314550090827373179370990689997130821262132491703522435757990207717508623690506145637275465444508902941656535546079450516484657186795932385718163222065091355396799011530266356516295917214999739953853159201446190623246131282848377368324286612882219501935480554094098681855954099990046305320899323974094706379130390404704576377818043734165407332369523749200767161230820284435176721567132477419830300443431540363030783300835894109145015291069558878181045922551671674831544255331299636670850508176221818326987081218779351293769080549730631
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 13 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053961076 --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":1100000009053961076},"decimal":true,"detail":2}}'