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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 #1100000004828082331 3,354 digits created 2023-10-24

Value

526971477086700277970788452923728190497452653615429552848003781267478946599101059872559464264146039073838899619726290302590278384396875839980255241292815302221438185727101693234689609455953100044545695146328372029136718714256202963685287641669971336991790085127394634665012306446845618975107359732571346295436606719164138338649386205894006583801449153658089807395146213884910585858285891656162284994427250403587374425550221853580187421898193083599289451123024554063638768335421123245474190708398895938667901481583385244970123138702455033073622305497065950935211901368467799287807867282996158762679869720800151488945338351310228124041040614366378882998918649902569072992612999407977318694488122927354959053127264254003297605288139993449783847332625005863254525902292910819709359033403340517696345444525742046242843159584870456517147375256457121640926183953643204331636662249825666696672418128753995378956741937440982817608107898810607878614459281070749038230246291106458704445298861173927474852982015872642192530056019503776232411469932788284701693639453893431095797757202547379948250203147704264512653240909128669094679655557213988982935418635603643234441821044552448714181168355407920829812063770354578427733411808536975609038980151656093084861191430565563154386270016366667768226967716426241438475023778116541015551360731166403568675389120258729385904015515931277896875671693759353641455737108986276476886992902339394684027473703584944221736991447793988307431301898065859434603579002854937489944188995529978683064141877378544047705640243325947659672438460118216732627646315224152827339295267522261200118790125188722225494474027030442505132866636979963263735027211429583707384903848524665113824451526914630812019369965855341063128091791460092739193157011746430889874806052178350149520920380342801027394797439604411905372813093532352724748530377199729117692416538943365440152779569021122477199210980148894013282636876549682699959282586057809986142022352403198395472235895139976844263842274890391863228820343271210891435209970141665588478010957782883232065038879585559171273893160126569801483474368492764196946116978392336802069856535428621230213119108626576700269514105546653391214942583127050711917663961295641721466794382597641376841419108503393614426071069731663970617334911374781310775216220549996130060714365356371695143243668045380540701905328117504103296469462673821966038063534450167144436755110064482586798512050352126827864494570047737615910342525858482727527751354533291159557716609457267336542390816880068440224314984385100991065044730151831531630907276814274600307977778968077017364858644765281086174914142532059749960786347002609389530303004909082337755166338391207221378332571860657103790504045327180901263846302732852633158320326487651107754520460293480495042212579417346916747867605837043279209225786419683251341158321761332402330996163737690817498359069585052620270136013688180778449684555881935706981812094730103293197203044706423870516686784910739598601762222921710439057007856150254337143947715465653667037888214263364909958824793514883779117552794767380431956295596751833578953582227545424031125945078020266726147495672488072789753756247850563567405478966256281359888455473719174700456675101822531916558575027170575909317962505282391723855925531097893063216538515268973329253601265663000117190915299694193963646248443888121056193083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 79 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828082331 --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":1100000004828082331},"decimal":true,"detail":2}}'