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Discussion of Problem 1857. Alice and Bandersnatch

may the answer to large? mod what?
Posted by z__jj 24 Sep 2011 14:10
rt
Re: may the answer to large? mod what?
Posted by luckysundog 2 Oct 2011 02:43
I think yes. Take N = large prime < 10000
some test
Posted by luckysundog 3 Oct 2011 09:20
a = 2, n = 9973

answer:
14904621025037755827437797995029148880362779866424715224693517820463009454475004079109250480192543646387624482279333659821215987759397192199402698178570311506330066011775238706905025775726022774246268754262032508986445304597362806225477043574838686542880766042808796191774352204481264778444142789019836249807116531102240540605513821901445901663187472630057457969799648823443392502700534032831356400169476525651642297889350990851204394323787093930031883520345706191614002116875588321182812154260675684639421303259469046652793704537031887769166714666686960541140927151799730820463065843135051664547781192503566681022807547283837937447726097345898253220818229436556149642670109674354191911162211716918319318073680863049897407347820098248296412835402715937982002537589829286535196652228063482216305707447303536787124054130575993263170794164909495195651645422585065090643367406384429429578708377901955634386620729617803925670438766186672314389645511730975442024020429962394636651116208556757442483186739035475367021090549369129539177986487053285247695976135385526205576733425135929159788523981080812725240119296466227495326704835968047199608472902140469997188152235908949890841781967920370089122293539758097721347540802867688355790553065047888155115287811655356665957137290723305539167231316534741334021423295743877523299501367085338991162597068343780433661716731387258664246077446618233181858158657960718766053804473919050092713821711406953787911832864607724974491843551178833816125710835581531470831596269636800612035063228083130860108099103489674421541817624972166957707407779067922167792541589765967736263888135269252756031592565649232802082035865681184001381691112692334872504387438579612873188200519003474606555441952935633195083328469007463332515126452408810528548753084966102155531344217416123113215586327568007095917343446067967846026646136021781181626604810853227911481990872617964455217573983666565303616799206895795639868767566832723767517437483913468354733532900900307403923066181764608937339262669074502018234482378957090895710136112680697270530682468428279007651724592183441330390818064367833332463993139961219833062713957549687709215488858758927424198743032271608302001316448288578282506259262773570160529417731568452798742120264923462568437050849588881209635597875968582954059274022498193635995355658285645058845628518672278012309009414624036450276532247323177230707410100725900993832774676945292169965700968342164050535861215840518175772043029213734893179100688792327438057948602236752629195676964550122874634575458536126250900269270214887345688417717125685990945800804095277189428817703029472732348189976235833579333916007892166957620514997404350846962152715910897498706786818836087100944657200732065266030236426886527771394620476174311684791307107877655299724699301194683636159674939221997138507367761440822014719822558207186413062132372751593414309760965821186199881516398081346982077950241637922065686888122542154174583604138945920444946377439121232301200968037880734043632458159430

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