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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 #1100000004842736733 3,311 digits created 2023-10-24

Value

49307002766181076807909636259575068011273124635295384751223670402412870869080053266362517542558586703212677114978253461080004597298477707506689574447061692208615454234092268573549692066142060616117769584831610032421533974163452160046278981537944771597953423437235323282987677890233362295414937421092131982311611918917592549446960182009626482101984562475974774628463637341393546391959538184419674575690881225094738280513290032401697427022373262995152912419620965982975618109257851201992346310661743941611466894469052810909706441429691830860565793545823379741781217224386785108089549423432884057310362859536951515991870354639564971956901517595726088923654405261197343869945696002183877012112129339000324996608212443925849473728853648014142917366924604634597180640426262089336290380887514897901778695266765435432869554230988991570785403979862530107802914109717225019436345332737968823988966700490071502130644611099814263606409210214178803492053264017322020444919048840993857088478613593808544206370492724606535225437347212636738478293835485373181859345350522874109062542171018095725944399952329741561771022940197652851534201322631654258371793111425354060549440000631946583209395118284655507685544964438609222798978469794043961507423439864754985792275914730821838262240058737871249891216449277915894229365463737533408776142896630875598865940610421757350269134753055127753348707597356048359184306623923432144872298760348973108107947986183910558836730200101773450790466338869684916193650358233022360840036013222372893349526606104277664414281396591086561231341097314167903491872552558149171182174083897497467179829430511480660725886758090106320116668267562815991259242599512109897984171922702440747496723465496111996071207055664583112645905810857921268233972997583377103951213084360241463536336967408239440472250111624032405582843941161227009339628750880815346286229785077857850280911126368119267856107183719396611871916858145619830605591192640333807363685139637885910098747918555342011460112971796599227799052254104475317084298154607793340643458985400367053573806096833244181981255206164539497908808088137547879890243125878427369293182235073273673111073908907930343641481895810678291488439862047606503158872164814027594951309701487635112131749499433023047704515507101859959780535068383079073420649675413186731816995050392751646467402034667872464992810308613238373177780976015238074732874689250952690008421009676035464931346768449375918940464818760957524173774411336381817486256836151192710388039510747137638558432186148557742931055119156722905508838697266765568039309951688810395975778021930334820695299387815243803114561159231674842278861151063139166826708127999088245526477705049142727798163427636410291063551524649231828469464291626401046931503708169531464762333658124853281205134492779975085264286059041933407240219492179038828628361032339013829410156648620204505414738911582583818668113260968501597240016719028323015733618228293036099986549066925603703341913113473179164413658840170344419392009978263964323657747846029435798629477153085927016288994732864142693627087818215669670459345824031625768478997091040629028606961828938943403902826541919382464435063916128758925401873324083942200879097891965827724343693586029280511489270263313792950376983582096416050436083994163434840472430776171392826761197460825136619
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 10 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842736733 --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":1100000004842736733},"decimal":true,"detail":2}}'