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 #1100000004814214514 5,431 digits created 2023-10-24

Value

7810522016779067925060535577156802065128804913538694467333564441196892116105242133508384839892929221500314287099341544519942493561672214282130885972791187218409372474137022129292194562299420524725940574364667834750765228733076688693238178504876316715373154477481444863827746150581650197589523025391285318226873770706725629622693702967373541164181259195982001506842476653267095695143325427109849261142570776787451396981570577848356418844363892306639841872638513477499355777686931763213337291136787594654995514720806755294563675274584353994068983818729344581350534790815483631971405288199555801824089531172196660664817871341993742750371879975419939980375462565107576786519953794643708142689504610176021513197108213852592242822599056456726284816585171619041663422935501013496709140052112935226236430091240930602410740189370506574812477951495377926626896701336323393688930899052265445379981475577351196153101267642800734684381435712239021754808416056051339405154239998110462624293982358278725881231753884617998304336618276892500686945120544307303161310521102978815707843261570122534710525652720982619517768006619635069642581556614388399413498719176210030335788665368017043745265834034418867008223212827066821503066729274744567852292062232145369764720720605310311553603669806248713349861540379169867612354780781862735057114335555924520013017337456316323574547096546289927610966286637821773745322497325501879835660355041943528387050767881881543364478533778592890248846149508554827404736311047766657635527750246707682413716601825524837977823322970201108234545715668313721140549667203970860049122092159687924183232380173275389756234403181056730614276241714081131509617505939667172492047637561475532995284821644021059569238746880577003477893017595899592160725254831500011569034696851737510676341812752960178602064943863773933630850758650459124798169986607555039984555070958934514668405411395492808578039913333138341482363472412045849667952106938757476426133322540575865045656393500997241763888578174131214472354808881497822606250756609243073787785880099433759308227864723583059487026442322135056201350553522583795493527010546055191040927684389129938359625293910598878212561883033816565434237073803042597195155028018382513117838617438963087095461251391324489748665460924345664063405170080777598282548703688806018739472266406480143078361588374659053574853473611621607185425806388384817434540414460944517911469918183209177065541333849463310488941733495133422721873988297796258779751993137417541186169869151042983538930750657504945988932372284408901354944958710981370439952973447742657043875704154951391540308512579303335778245620070027111516480471496870720292244664154335543192510180471676905774126492189062695844120700578909945137673243811279696743470121414771962789100946439751304870356507329382952927975657248243804252580186676058030873009152642456920010447449611385891026281438145256592661997495487487073291312302372191421673012983847789907419324714261247677714594637360603353904308685568231614571943435011703980703452789679020059894158398430377717831378139244303602043721396074643496511891038620145033623437920019258277166941042824477660281621498376726104458534449302166059554881481695543746336455150707794258709121718595205423932514310543520031673525914991664181571064806528627529896266072610575899006773493460170917425877575125281605642758060634182785939004473847407252637836391933598347310194155935542388092255606001912532769262080752475524829779586129257098803586300680219778045871680490437523694459188390337159873289129082425692008734726006334997121956688226948469967529546762684723695963593371667126510737990905929896779947057044276226567611809701801637738601609113346864450078899629527401183369927713210978097669348101325584165693035694118195890919231031778707084661645086569879803263210254491394191275496450862712294727521729062042720526552024476211309266015207045665690370396094453215337889080830529687376133185008673452322666877750849735235510905337488593907371282498488457458301313007608574135539219843296406850391033563069559247303581727629520168054411162281087240760657914383223104937435081837870677061584907478748495103735863346088856092130777517758227690151733346630128958386485671960286761955272334199084309414164604725230026888588388749990716659332501668970860024885691509197042954033737130588544765646341979470637574107971580713739179778598678356420284372698141437009606230767680258080914376690660839563222869696160552157604103331109110360030517559262551700689426056435091379520004015862824041743808209734268071902025158897635750303854436254757302347959417588528725247256944562850409325569426095917401934141071129422495183548222006537505792155627915471608149728586552010854322039218410702943620019425004118802551015000212895435941089116902815351539787846852492630120992073437442637338627247830455147758459453604444457381044672263617990505063916836932415164383717274593662044976223239766490463937943289000262071060765022163043476729827981581661737810122317249796562615457798984164952098115794593131897200839460275108045195586310255663791571994249216525686279801431565235071307914430235585200258812990531165344224461934980477043376083199515129051837425746957569658677788735604779884523139777865102761520276618419472399286622358850414181630084281592320951480608379430699872883664320083046883856116601112796519941331876341075827955368308469547183256839304875623435905475933871338875179190895266399889367245167735639161184791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 5,837-digit prime (808 intermediate primes).

Certified number5,837-digit prime
Certificatedownload
Certificate chainshow step 58 of 808

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814214514 --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":1100000004814214514},"decimal":true,"detail":2}}'