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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 #1100000004831646001 2,991 digits created 2023-10-24

Value

429171258789212819672983651171072144425005380635018619917935429692526560729518826731402496879119255183942595066652530338612699186752986051401481015015053590853581715451372426676824264083976141488570404556886945298712998529444380020958197583840199850190952715683185419377531651799069763123955180499158025015801756141998825269178932186131315165830426910053170988917058372393042947032860733254283367458580616664074402854910574031446803133006297868612610670861332667745387807342744590216731592963097238518213392765137994984544918101464867699597213080179359304452769721997729673327667635738303502053083518499801386237116643233808664065798418324527780838212480755010602720347782839532549579317277795708717936577016823190203662508248192384982398386772963463753037850147048629384901171012165213051205635660999561180649778772922739136502349728196497186937413044695790409093314392379451711837746625012482128072708334665655038066654863070668591340139827519645518445087789590282314884252603623318916523870648484833856954679018997399218281815276941787764995237160203656815266847053642432652907503530265006349614701556240150924515741059368640064914301477686716828530381381320434173610525180815707863357785719867475581396973713348984486364885848963377896459803132311037422196872282725447999179584702476799830132780583501918498903633318511567089785839454485394262774000607173294164889423656836203382407863063872685441777151519353784088117887721064203388295990731650450685147665410936060924491373420526112840300135737432320076226073669189867669410490196339408653795076401433282196015712544459569639093461434503205010532402326482742718898912212504012961013942556847974681094179317637910391424983752643859762297491689107084122317648095375503569155185419897050075379468280429675190449732675026778661421380810976569468967548222113887411507210309091539680810159907925136964610745993394657848024648292988448036072274742217870471508387502437566335064825866919786115263880002993313487397547093546361590793353495753635608645893673801996849657953854034082833733404880880878869941804006534610415011598735254917664727073759277051498847794795302321397587833545177981004063692753530212982766977255796823749144958252221525320727314037475293028281882966141395397387926972831389784388237876452525465443169737524868209056111852783624970004302381258582252217300277268017811866259316393560189662087945374656496756568164782035512090924039781894654089608190011634587009849602403794051276200653697993542611926901116348653882063916757391918347088021996061802702246845586440862300397974895304206457255818676377409896210358875710577687393471411341333747937031039031038106108988207251973558914374428381506827305834173991526064271872515509194907720446302677769802748233604057846347399828434286959801328637200649840292758223861818730386151867596980834153432664136733542663364675264796519467430812031052543790838505926821468630976653749439484255105429799158142337461082801254276970201380473497698727055815592226820772875783225840214805407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 97 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831646001 --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":1100000004831646001},"decimal":true,"detail":2}}'