factordbrpc · fdb
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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 #1100000004862224710 2,556 digits created 2023-10-24

Value

147318077168261925644712184567134270239345025183195999125371743061835169518289592322159602882833712389458013890894444869996014743766689030575692335007399844226718925669472119489261684585911811487741625596523113821588055374544379776838652732288505648455319157959763219062278538544917041766661559543154308434839893468092483770723107977150638296354279032378804136660054950034149124113075182803711630448140617194301525224356785140759772084575529830738692790594234001221763254628177111952747555430423807198121406404761483958615016364833716781219808270534608703843234134355150395421749879562372405488009344768540796621320777213382236909249164070170411199320216799130662280071637284290636033980262493971653699842162664162092286734185186541653782242244628253775767398546080616042438895416518937004961517643585700301203586962223019165996294667031040441130985087587752055492307358169337528658451198896013312183758196456334966963588545106767446131640510334110405236007689555903904588596360257745588254604711472670350318544756874838954619991002577484427483810579841271082986170647350508586120361689831300258708910404518845634848557635713707801400506078809990305684826100130076919190717581593690534265949167098012228955893776455473681964420420788415401947966488638528160032965499627752757167943812034245904739050680583352731831308363792319538373919492531013383657822987665546331249006231978831839400375143897577808533541437319122798808629322574860817574825872304098901803239391260368264859645400653749894154424334986354826085889955031614297560451657136416373897627575196809325809905735977082764469160130234526669151018009819169554854704091987565161491310475909121209739523883195282340209300868896426868809553986442100318978636160665546403249476662607049417932963725718143136460008360517213854391540396566889262637536923376245505122326951363761504129227381376061822462139754547232052936094014127352816903873666424662254984470600965963308013195270716371961961444007211048388264936774682766836287168680669100649659062209831201414423328163944459538642667903794579493487221458721351403889677700181526761327454303384470046470664052884872783738911351124429359375565462801891813340002155284492949590401912594925262583098281634903303760100855542432264352674447181901449014425043364826024327587628495373359633115749273528129961697119127521315499350405943202757078313060132167068722998261830417765323199897029448957072648839114389740740158340055458747915554874956908699907151638298561333214152485243726197957099942183991221400476823640454813723276443256894201819745071814020204033
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,890-digit prime (390 intermediate primes).

Certified number2,890-digit prime
Certificatedownload
Certificate chainshow step 39 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862224710 --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":1100000004862224710},"decimal":true,"detail":2}}'