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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 #1100000004817606302 4,642 digits created 2023-10-24

Value

3411148616228361408006162697447133353781156782210128622500899171237048636441290242531005569279956983878790701255595314931153710681798281621947828921225245417320437376245759815949232331383603738373859381482232092515196928740245504490022645655046840092676597441269034441902113314073612752451695256252032522658641452089974691185076297605993975937836801204719018140181194456066680069625974791728580913468966090261072372979520814158891774356178192536157303847457525030620225259481316707458468030873319757190278868201067171113640525479323980645288797464116790601159319920271904736149333178635145098448967512139961459609462080960570147490178172133114572094124936284459398051568734336714679793354670660522491358704638774349855522813818869696821220513437463917760194364161591236088077573056490988741012314291976696581412679727093499319954169306446037581165913176229761994339950425510029469145445722557310338234320620543944598452821864179550853084320659608680854752522373909391996801137089025663508911488618064966374660449037705503588148249075744613358230498678516957402486872251406703850351377319157046663638231807313639382920115961402516471807094155497573771266219959507248157404764053508939507545553623065464296263796607801922239942065107489665343950248393388958991691365664450920825233570296489953370966569600621248175156968271817010377512832693670131315896126245242706193023508309265353197562826009129656491565597531964426803044864572019095375634276686255251686204461974593650845990398024360368105634355623852534961498035725949142271226827662185815010751505044211418833611639340741044130448051989971149602654590919048867305159897041895022801341934187610209264230264497379040411707019110375612970114192801976144227868898996078861750133573133981725167899414954387453696743778112345461714571982776883114737372916835457456481767665624129915977457244031099852676171665030961574258131584314339844168449845569659413657285587384210200114322995314095365864638507187469322884128457758655213079036790852540091701215961319428845708040820293230841871628820268340235581053067087248458539670078828674769504103100300469619766515039072560656712816540580901954753836154016299752733870380981322573835701666044049843431541815796066105108892344853064043416265243749184823562426914483145365552325563268088780561349433762275270372535216685042333609792234806929824868989810747220873404115020027126662438907125226069889483668602959590476319794945045129018878560823890514410743264772828344431198637064733049227988913504815027748201573925219107682104848416590772851118759114645525646282053287897605122151781857295982405867718945681881734236869596001140453537595033718139301541670845349687265936558593092031860577193279461028673807774595654926342816221173387611947745410713709075566437082549232495026407802832846867242929744244105388623006617958242877798057243026567228074829067677371177777459509109278419505313853657982607097079230815845603445534451371307165060589857754992774356836264440491020394010482036299292318095228371176738686551462555362544852716354503917141308985594565889761908564354591321746275322771949198795092780890412248781699927785619449014905982781536570945717009491090193983453756903420341486401925520604045954047826936053888447218571366456387450091389878735648933713224225716010343191103862122626683623193709051570959404384824313024796222173225923620851218026765506358788919226519133118337130924307474267885653685937427734028711799904565696491636541326074273167294065358261364357387296931317172129604169849714039159842232212253126083086937723169610128350744223457736297165250073742429492378531017738739311806567405850104626836690430431583883135216007162691937267419156853475525815681369598409017855198847034800535350777282628186447712928046747252511800937577003180454562721959863818467472244929005819178810736922510511000677436320547199873840021474463373059483854337503167112774163543221560970846615066917046528374652919377998140137803780804547403944823008803483324988616725377957555734508959008551741030846190162816198067969270929641252230297484750867897912345286750013014820394569898027423754282078256721456958554969441703625681175960193997715455674160650393654218395965594500522202714591467838279265549309393893225348293593424359252134336917927507661695537738038527447760849347368433828976300660259923383273311154865281767926440202216036087696533216200782915073214325360855319475695743178840213945698894307551047812731452844934689322150454726583127357625645230416276046411244603973093347549863656169245458066470782457327080122323957136186691725788554246550584040803386792167607904635419511261344661250282352944988363620514127585026293169130452043029229
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 67 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817606302 --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":1100000004817606302},"decimal":true,"detail":2}}'