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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 #1100000004815102396 4,638 digits created 2023-10-24

Value

284494065098849226264740406777056034495695227873103292407753239829139615267405437451378213073116567390928380918437399420853877812543843592489565175963202304755192735790468664897013349075401179545878584158890817036917394322213206200200726167339353714092583473823382030208526834774297541340309303499141832940535369139774468575951567280392058823333286195856729055835280376586614519024086638551766585265863011622099496177199450077568153801574707308476123742431962370431769625608468111390236300137867214018866898542288281068287530260321052020190685959825337817681087347959547855057170803076929984832924857053426764457398202754988469980965981307748591818861476558137694862089998373955263216298108697814448523460764386016080390514245349309379655834887530351749420223482689504576176259153099433762519756366267986757934940904183203884276555627147199837134170733093944801443982155197697555429381319759303914832701960437049865591143073062273102036441568374728027045037789471857249964386419310253441315221301405921481194793295899367893568590344722536000477713661350481542934583331063177202494728507489183761563596604128239599014506916199724971508943572146459723056828090175069640194717569620731433803622774473092566683596485949638239039685038247316508588340563517433740872716943342881919505119396935998708047213327527405959734937217680912676808520451437515470208500373373409322359911059224148196492374759811522853516216394935652423814272854027493079304485541856031983288197189607595303300237980260205268452509771118408597063417900383960167208710132243571997245293832841357767299927710681956983482296924941990170779762118063282648730019354612398146783051812037654345097477114402518447080765336023958933230081893028568966026105828684032554471168001516795514864977541755155521879781797824913797925240339116822973406702833690469312882159731538918006466491295663626270622092111112423222858233825949575105140406996438912540761596788958903108365909721799040672809646530512877509121943325147167415183121192060353545558957333194045206961369218399849623461656718204593848871532286457714304603243665265879414212806958528710535854823841647139924771650822454870956825409386096331920333176019026128898145412067502235551937516806628596929263356325274034546382359653741220478893506046737578563850524432803459844756083795325204067987936440850628517005699428519740882449731919741165941256074740298658697857582095976120431317008026512590541122208767475605746612375592878323273516728558119078167094649119555029043422180731138948917422642929804173780040157103199770341757273312523891008349255121307044503435819125445760447907912727019342194507407398893068558838263731681537454159589536976451936480487777723218630235450824426268858334735492751581715422114580482547428982421636464951041299379301758396032578743717481821969070922092140058120477357438494830411989187598807762507566957860764322228485561418918481177220053783693103191167341481143084730799370550811131467157906731649037245280261634839300308749555796468496430628213192795008783538528710880747838083041228865131925319960549654694069289820260431726130571100559400859535407433120910129736554720152830829231844103437415733023269512172641096190298133867111596944780901545962143942953193953366734360974310538288247232285525159469464215625658517232716926296879389475498878404387181395470224936273093118002729002464124198744263232624856848799374932406027772711888077123197130318198215732655108884636809842437791134470848700566240619427651303564029438018077379010859716226241027122345692222887761776593602745169819077938111850242809919387059960498714805317360406145846902170449592246513934966721731215621925773329081368395873356697027642922777307964611605978271911045411389457446906306986342203484027667457199442381578872335683113751030475563098157580438571493753540627620307799973811040403083668370664921061176338246035740860420634143003345882277080059286549341690108308565456872976634583626181509086997094038282506238815297425478299937529341958558296833370310273682562794132020499537816203174712132687315409344771902709692496133232957153151420680735870245563674538160023072600923418072406535550461877874561064393948115121619217413266137960587537719458100560230916210800134821976485938727068432794710309861277592868332274322712154014768056792811692481520695398376937162768985907191092621773505607392394472192220185379274103038260673059926418866588663357177987602317356488593846170489206071749807461402703168019746130972404960431933426647516497778566024561729485954636866686343125637492225505940659761426115459567189911393024185523766132802480004344352218882816426956455454271736038881909362290540160678916458646828847991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 82 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815102396 --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":1100000004815102396},"decimal":true,"detail":2}}'