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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 #1100000004875651800 2,213 digits created 2023-10-25

Value

17442930934671419821273144926096743945573393994155876816576748006555057357272577013378483335071029994383666143931505666708761522211612519046449860108419860989800736153352808737554177473621266628571714842747487461800602720095231260628617498662010713242349002079263460751319304304539401323291777267959249887119414352878497202424370476068507848373386357349249928121333885270031608421055736608417216732413661016849211582208724204644389354555473340549161610200437711506117218405358517080373308032323766584992332566722888017996945440862769505863400488607995415237436267261380471995370925212196285998110025886837780847183419749718758515788281528325066954272150655626401554166727021942076752364719368032643998368754110786018971123512550766796670674325489755587051229107592706101216560583910552898939067837749155021246538482372607523069948940839035093322217518123015484802412997016165263711419253528951202486325524584588592467173925404953984352134054450915874788007962315852556166718621349484672710112123833454924104440314868220114972293039527765888273252534968511682704915719778254358708218554531574677018040413869406190897989848514259885520009023847204719744237423299855111742878635847978581524104542384657024134894146132856221187802336809732154583814104877751916990877596155595442439794627176927728404702364764184028950421837647452169514566494406941404799706482191850692982961578167154814469450249485661953926034625502401335129260433198680914856300214067492995399292017727293660850905509199114355359268556938703282427973335419543514929128355488702669021033645297456705609143878675244263200178191917510720580570709008086223896828592701274783986577683046730694251643360914816617332108734686102731879455375643443699997815747774287808910996983812551815792626529427452477351035148990768261115508398043883720273277020118663347121623744794302277035136482205016564540274993403454594267884098387558375057830900190738494018390159399717514536449294238977677699394075820952628540116007122484733968264776483796159427725960393112502902380707880075694290437305547617721587544348223653283084002365764669200429692461310249588407174742773451888489186882847236116045636154742260592349452822465941398172564960252393075937806021092540492733
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,487-digit prime (335 intermediate primes).

Certified number2,487-digit prime
Certificatedownload
Certificate chainshow step 31 of 335

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875651800 --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":1100000004875651800},"decimal":true,"detail":2}}'