impossible maths question (1 Viewer)

[omniscience]

1. find the 1013124123124th number that is divisible by 3
2. find the 1013124123127th number that is divisible by 3
3. find the 1013124123129th number that is divisible by 3

thanks gais

 

[annabackwards]

Let a = 3
r = 3

Now Tn = a x r^(n-1)
= 3 x 3^(n-1)

Just sub in the values now

 

[Uncle]

Computer generated numbers, because the program can't handle 1013124123124 numbers (LOLWUT?),
I only generated 100 numbers based on annabackward's formula.
First year UNSW mathematical computing beats subbing in numbers on your calculator alright?

[3], [9], [27], [81], [243], [729], [2187], [6561], [19683], [59049], [177147], [531441], [1594323], [4782969], [14348907], [43046721], [129140163], [387420489], [1162261467], [3486784401], [10460353203], [31381059609], [94143178827], [282429536481], [847288609443], [2541865828329], [7625597484987], [22876792454961], [68630377364883], [205891132094649], [617673396283947], [1853020188851841], [5559060566555523], [16677181699666569], [50031545098999707], [150094635296999121], [450283905890997363], [1350851717672992089], [4052555153018976267], [12157665459056928801], [36472996377170786403], [109418989131512359209], [328256967394537077627], [984770902183611232881], [2954312706550833698643], [8862938119652501095929], [26588814358957503287787], [79766443076872509863361], [239299329230617529590083], [717897987691852588770249], [2153693963075557766310747], [6461081889226673298932241], [19383245667680019896796723], [58149737003040059690390169], [174449211009120179071170507], [523347633027360537213511521], [1570042899082081611640534563], [4710128697246244834921603689], [14130386091738734504764811067], [42391158275216203514294433201], [127173474825648610542883299603], [381520424476945831628649898809], [1144561273430837494885949696427], [3433683820292512484657849089281], [10301051460877537453973547267843], [30903154382632612361920641803529], [92709463147897837085761925410587], [278128389443693511257285776231761], [834385168331080533771857328695283], [2503155504993241601315571986085849], [7509466514979724803946715958257547], [22528399544939174411840147874772641], [67585198634817523235520443624317923], [202755595904452569706561330872953769], [608266787713357709119683992618861307], [1824800363140073127359051977856583921], [5474401089420219382077155933569751763], [16423203268260658146231467800709255289], [49269609804781974438694403402127765867], [147808829414345923316083210206383297601], [443426488243037769948249630619149892803], [1330279464729113309844748891857449678409], [3990838394187339929534246675572349035227], [11972515182562019788602740026717047105681], [35917545547686059365808220080151141317043], [107752636643058178097424660240453423951129], [323257909929174534292273980721360271853387], [969773729787523602876821942164080815560161], [2909321189362570808630465826492242446680483], [8727963568087712425891397479476727340041449], [26183890704263137277674192438430182020124347], [78551672112789411833022577315290546060373041], [235655016338368235499067731945871638181119123], [706965049015104706497203195837614914543357369], [2120895147045314119491609587512844743630072107], [6362685441135942358474828762538534230890216321], [19088056323407827075424486287615602692670648963], [57264168970223481226273458862846808078011946889], [171792506910670443678820376588540424234035840667], [515377520732011331036461129765621272702107522001]

 

[Uncle]

101th to 200th terms based on annabackward's formula.


[1546132562196033993109383389296863818106322566003], [4638397686588101979328150167890591454318967698009], [13915193059764305937984450503671774362956903094027], [41745579179292917813953351511015323088870709282081], [125236737537878753441860054533045969266612127846243], [375710212613636260325580163599137907799836383538729], [1127130637840908780976740490797413723399509150616187], [3381391913522726342930221472392241170198527451848561], [10144175740568179028790664417176723510595582355545683], [30432527221704537086371993251530170531786747066637049], [91297581665113611259115979754590511595360241199911147], [273892744995340833777347939263771534786080723599733441], [821678234986022501332043817791314604358242170799200323], [2465034704958067503996131453373943813074726512397600969], [7395104114874202511988394360121831439224179537192802907], [22185312344622607535965183080365494317672538611578408721], [66555937033867822607895549241096482953017615834735226163], [199667811101603467823686647723289448859052847504205678489], [599003433304810403471059943169868346577158542512617035467], [1797010299914431210413179829509605039731475627537851106401], [5391030899743293631239539488528815119194426882613553319203], [16173092699229880893718618465586445357583280647840659957609], [48519278097689642681155855396759336072749841943521979872827], [145557834293068928043467566190278008218249525830565939618481], [436673502879206784130402698570834024654748577491697818855443], [1310020508637620352391208095712502073964245732475093456566329], [3930061525912861057173624287137506221892737197425280369698987], [11790184577738583171520872861412518665678211592275841109096961], [35370553733215749514562618584237555997034634776827523327290883], [106111661199647248543687855752712667991103904330482569981872649], [318334983598941745631063567258138003973311712991447709945617947], [955004950796825236893190701774414011919935138974343129836853841], [2865014852390475710679572105323242035759805416923029389510561523], [8595044557171427132038716315969726107279416250769088168531684569], [25785133671514281396116148947909178321838248752307264505595053707], [77355401014542844188348446843727534965514746256921793516785161121], [232066203043628532565045340531182604896544238770765380550355483363], [696198609130885597695136021593547814689632716312296141651066450089], [2088595827392656793085408064780643444068898148936888424953199350267], [6265787482177970379256224194341930332206694446810665274859598050801], [18797362446533911137768672583025790996620083340431995824578794152403], [56392087339601733413306017749077372989860250021295987473736382457209], [169176262018805200239918053247232118969580750063887962421209147371627], [507528786056415600719754159741696356908742250191663887263627442114881], [1522586358169246802159262479225089070726226750574991661790882326344643], [4567759074507740406477787437675267212178680251724974985372646979033929], [13703277223523221219433362313025801636536040755174924956117940937101787], [41109831670569663658300086939077404909608122265524774868353822811305361], [123329495011708990974900260817232214728824366796574324605061468433916083], [369988485035126972924700782451696644186473100389722973815184405301748249], [1109965455105380918774102347355089932559419301169168921445553215905244747], [3329896365316142756322307042065269797678257903507506764336659647715734241], [9989689095948428268966921126195809393034773710522520293009978943147202723], [29969067287845284806900763378587428179104321131567560879029936829441608169], [89907201863535854420702290135762284537312963394702682637089810488324824507], [269721605590607563262106870407286853611938890184108047911269431464974473521], [809164816771822689786320611221860560835816670552324143733808294394923420563], [2427494450315468069358961833665581682507450011656972431201424883184770261689], 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[3870210234510307998744588107535211184800325224934979257430349324033792477926791547], [11610630703530923996233764322605633554400975674804937772291047972101377433780374641], [34831892110592771988701292967816900663202927024414813316873143916304132301341123923], [104495676331778315966103878903450701989608781073244439950619431748912396904023371769], [313487028995334947898311636710352105968826343219733319851858295246737190712070115307], [940461086986004843694934910131056317906479029659199959555574885740211572136210345921], [2821383260958014531084804730393168953719437088977599878666724657220634716408631037763], [8464149782874043593254414191179506861158311266932799636000173971661904149225893113289], [25392449348622130779763242573538520583474933800798398908000521914985712447677679339867], [76177348045866392339289727720615561750424801402395196724001565744957137343033038019601], [228532044137599177017869183161846685251274404207185590172004697234871412029099114058803], 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[40483766022843281411184472189571654752207506882090305742200116101065766026718820758174775041], [121451298068529844233553416568714964256622520646270917226600348303197298080156462274524325123], [364353894205589532700660249706144892769867561938812751679801044909591894240469386823572975369], [1093061682616768598101980749118434678309602685816438255039403134728775682721408160470718926107], [3279185047850305794305942247355304034928808057449314765118209404186327048164224481412156778321], [9837555143550917382917826742065912104786424172347944295354628212558981144492673444236470334963], [29512665430652752148753480226197736314359272517043832886063884637676943433478020332709411004889], [88537996291958256446260440678593208943077817551131498658191653913030830300434060998128233014667], [265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001]

 

[Uncle]

201th to 300th terms based on annabackward's formula.



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[261568927457882874608733211757582315090892217214195250256575658313972901281170319830426649720495049350373165676996881], [784706782373648623826199635272746945272676651642585750769726974941918703843510959491279949161485148051119497030990643], [2354120347120945871478598905818240835818029954927757252309180924825756111530532878473839847484455444153358491092971929], [7062361041362837614435796717454722507454089864783271756927542774477268334591598635421519542453366332460075473278915787], [21187083124088512843307390152364167522362269594349815270782628323431805003774795906264558627360098997380226419836747361], [63561249372265538529922170457092502567086808783049445812347884970295415011324387718793675882080296992140679259510242083], [190683748116796615589766511371277507701260426349148337437043654910886245033973163156381027646240890976422037778530726249], [572051244350389846769299534113832523103781279047445012311130964732658735101919489469143082938722672929266113335592178747], 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[136891479058588375991326027382088315966463695625337436471480190078368997177499076593800206155688941388250484440597994042813512732765695774566001]

 

[Uncle]

301th to 350th terms based on annabackward's formula.



I think this is enough, I will need so many posts, considering the character limit is 1000 for each post.


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[10919346372035774928116086769780299722615977123221802683322521139493129790900880802771006432817387027981216471703864763045979382585181982025922478299353752591586189361], [32758039116107324784348260309340899167847931369665408049967563418479389372702642408313019298452161083943649415111594289137938147755545946077767434898061257774758568083], [98274117348321974353044780928022697503543794108996224149902690255438168118107927224939057895356483251830948245334782867413814443266637838233302304694183773324275704249]

 

[Uncle]

One more set of calculations for the lulz.
351th term to 400th term.

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[Iruka]

Isn't the 1013124123124th number that is divisible by 3 simply

1013124123124*3?

I mean:

zeroth number divisible by 3 = 0
first number divisible by 3=3
second number divisible by 3 = 6,
etc

I think you people have been well trolled.

 

[ninetypercent]

yeh, it is

 

[zazzy1234]

one more set of calculations for the lulz.
351th term to 400th term.

[294822352044965923059134342784068092510631382326988672449708070766314504354323781674817173686069449755492844736004348602241443329799913514699906914082551319972827112747], [884467056134897769177403028352204277531894146980966017349124212298943513062971345024451521058208349266478534208013045806724329989399740544099720742247653959918481338241], [2653401168404693307532209085056612832595682440942898052047372636896830539188914035073354563174625047799435602624039137420172989968199221632299162226742961879755444014723], [7960203505214079922596627255169838497787047322828694156142117910690491617566742105220063689523875143398306807872117412260518969904597664896897486680228885639266332044169], [23880610515642239767789881765509515493361141968486082468426353732071474852700226315660191068571625430194920423616352236781556909713792994690692460040686656917798996132507], [71641831546926719303369645296528546480083425905458247405279061196214424558100678946980573205714876290584761270849056710344670729141378984072077380122059970753396988397521], [214925494640780157910108935889585639440250277716374742215837183588643273674302036840941719617144628871754283812547170131034012187424136952216232140366179912260190965192563], [644776483922340473730326807668756918320750833149124226647511550765929821022906110522825158851433886615262851437641510393102036562272410856648696421098539736780572895577689], [1934329451767021421190980423006270754962252499447372679942534652297789463068718331568475476554301659845788554312924531179306109686817232569946089263295619210341718686733067], [5802988355301064263572941269018812264886757498342118039827603956893368389206154994705426429662904979537365662938773593537918329060451697709838267789886857631025156060199201], 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[14750417802530881072502094739885371662770122409906339715534686344248119850156447628362069360986269022056164766032427956749652735167596646914112360848363277501476652958394736238608965129], [44251253407592643217506284219656114988310367229719019146604059032744359550469342885086208082958807066168494298097283870248958205502789940742337082545089832504429958875184208715826895387], [132753760222777929652518852658968344964931101689157057439812177098233078651408028655258624248876421198505482894291851610746874616508369822227011247635269497513289876625552626147480686161], [398261280668333788957556557976905034894793305067471172319436531294699235954224085965775872746629263595516448682875554832240623849525109466681033742905808492539869629876657878442442058483], [1194783842005001366872669673930715104684379915202413516958309593884097707862672257897327618239887790786549346048626664496721871548575328400043101228717425477619608889629973635327326175449], [3584351526015004100618009021792145314053139745607240550874928781652293123588016773691982854719663372359648038145879993490165614645725985200129303686152276432858826668889920905981978526347], [10753054578045012301854027065376435942159419236821721652624786344956879370764050321075948564158990117078944114437639980470496843937177955600387911058456829298576480006669762717945935579041], [32259163734135036905562081196129307826478257710465164957874359034870638112292150963227845692476970351236832343312919941411490531811533866801163733175370487895729440020009288153837806737123], [96777491202405110716686243588387923479434773131395494873623077104611914336876452889683537077430911053710497029938759824234471595434601600403491199526111463687188320060027864461513420211369], [290332473607215332150058730765163770438304319394186484620869231313835743010629358669050611232292733161131491089816279472703414786303804801210473598578334391061564960180083593384540260634107], [870997420821645996450176192295491311314912958182559453862607693941507229031888076007151833696878199483394473269448838418110244358911414403631420795735003173184694880540250780153620781902321], [2612992262464937989350528576886473933944738874547678361587823081824521687095664228021455501090634598450183419808346515254330733076734243210894262387205009519554084641620752340460862345706963], [7838976787394813968051585730659421801834216623643035084763469245473565061286992684064366503271903795350550259425039545762992199230202729632682787161615028558662253924862257021382587037120889], [23516930362184441904154757191978265405502649870929105254290407736420695183860978052193099509815711386051650778275118637288976597690608188898048361484845085675986761774586771064147761111362667], [70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001]

r u serious!!!!!

 

[kurt.physics]

yeh, it is

Actually it is not

See the question isnt strictly confined to positive numbers. Dont forget -9 is divisible by 3. So we could, just for argument sake, start at -6, and so this would change the answer.

There is no answer to his question under the current parameters.

 

[annabackwards]

Actually it is not

See the question isnt strictly confined to positive numbers. Dont forget -9 is divisible by 3. So we could, just for argument sake, start at -6, and so this would change the answer.

There is no answer to his question under the current parameters.

Kurt is correct - i just wanted to see how the OP reacted. I was so tempted to let a = 0 mwahahahhahahahahahahahahahahahahaha.

**Snaps for uncle**

 

[Aquawhite]

Uncle, why bother?...

 

[tommykins]

it only takes a few lines of command..

 

[Aquawhite]

it only takes a few lines of command..

I was more aiming at why bother with the effort to at least type in a command line... and then copy paste the results in... lol

 

[eriito]

One more set of calculations for the lulz.
351th term to 400th term.

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That's what I got too

 

[Aquawhite]

Did you end up figuring an easy way to solve this question, apart from Anna's method (since she is evil lol)

 

[annabackwards]

Did you end up figuring an easy way to solve this question, apart from Anna's method (since she is evil lol)

I'm not evil... just a bored child

But seriously, you can't really solve the problem because they don't give you any parameters/starting points unless you assume that you'd start from 3 (the first positive natural number divisible by 3) XD