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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 #1100000004817433388 4,638 digits created 2023-10-24

Value

149764649358761552266969066217920289812330315582967794977954369182869222523415544719482905206143906748113929642021125720157305451297355736251355535142495983830116186050715673111286321715844793098282756259515631480002404644942401797039579337013114877264486505644434168878274219046612594207816908344381343631244517347976302880376789610619011989297899917176364025886256048427899910953469708703874114110497496997171328942199719211296722665495059009257843927600254128732602716910539462553217463293067261023499334147947690724826270995187267103981119712065274592180447332810615921076843476793541221644443236123313924280833425557362541314060097490901004408098094214184288984611358127786547770309600190236981925967303826454205184766708381296321665426561499844821948567388081601487566131788684968671796120823377548961492464660516105241180584273094919698090046391342840898558841389061982149681880821112190078482884498706352826879438600389456706094280461047773471504476595832103762655988001372814693272307019089184029014780506250169821858551619447384908830543352058504235496487406560426989984130327934155214923028448199793092925839543144443384784514490753408706586607669526577323847146854409341096479221129371266075804055988997082839703552019599701886778848117373839864604006405150787288659961973864672220271826685431854630647988547384459129579838572278214762099077747798956067189198766936396896673972759607132178456058327827189588586938074407702840157330585110042155543775760482291484918822953066295117968757474923075270640641098160055160414381817003151446405372841346761803678315012776690889648326408244589538317253010268333721869830948044451254626380419633217368705993279749016054165843598907741245168829078164541920750768254706894045970154822436382767609842991804331855420826009912173988544447639225008791008913600133644157422645786831740863055477120657822354828205729215994132808034598241845207552802410956541787768814745973138535196516438865191085736117178700759708172069852869491350822576170659468336749029878919854363624378718808489462366159407131848178547623538076603092617762817409709071834000830343308718657944471715615715324536849353313129891078595135830793166198157537156276320107986673864391576677171579775912007494962744541572375986057622873713245320372114053328458113438713575057007667018135387630527739977061666323013216585550390140877295163412403086382698641621090710244310996169793960257239055988201421623905456455373516583058371276649892040998096815734275927206592079992537958278705183072157983117075875939361561973272679887467763491805630918914324494784121689568283882326918188531185789740218660661961506596582975313552413135815761039653970426447805168915740008866602212251834521960449938579885446195986473550580387155437914709246156855003806252091627537920408284393395543208630645547280170258237885079828085869649064791018297978146555422827377419321888854982452340780624882540155550542802228580613379289912555912111513570598037577298056338360795140226934098256178517773836953187663952119780766663979680257494031702360348697654926734686021169968095447921472240433256061731243161475363350583697966427649322552384947066239064441671546512185447427307793111869106142665876078861645979007148031688153655728010148982413869363669141477131269843999023277566391592138019967518060405379181579368356395129447947455111020366054154016052805099790321627681470886344480519658503164263227230912486350225800366405864055011179913111625214332296048155467781163774351534787993102063996970748617807910313673337862345814619593410337018266981797105852987222210346667669336721811212415060833244072674425089511283346702869439043705255499174365552628255583314994950103252647862552244495458660864434496402511001399820034278583594004953600977454078329312142924924841977716112222393773776598789764927286683325259120698752891747901815500250273355732779252535515670822261577140270544730971994805959741088823151140928843336096736012391710791206329452308146374051838694322395016989443000971579789559826769863178840297150805206051221028042751798605521003656244372164907779940314597004106617749547248001472977205873859272776205287357624609181666079945825968909547421218312544237107379121585942873542135768151164431747713797130980692039773078052275663096558518905059628512482398473168870288170730824205358875545831464617432380175319027751287376557509618356604500231992200641999797854779980360157762919568034987274406291736180543849287700739414225806416982352657109025517404579789569603598846129369363534064287101293219822227422504346007096635653474847810544649524525471680023327330406446000027431761152316094804307322756394693845779645677057319658023695705147152163
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 53 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817433388 --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":1100000004817433388},"decimal":true,"detail":2}}'