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 1000th digit (Posted on 2005-04-26)
What is the 1000th digit to the right of the decimal point in the decimal representation of (1+√2)^3000?

This problem can be solved by algebra alone, without the need for computers or calculators

 See The Solution Submitted by Pemmadu Raghu Ramaiah Rating: 3.3750 (8 votes)

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 Here Jonathan! | Comment 17 of 30 |

They say don't feed the trolls but chew on this (the 1000th 9 is in boldface):

2123518327356612118500367213758867765414197418468
30798047797649326633830265800348754922726611482329
69697838694171238662831323372232939683172926297627
19359130289686862178541716944797509500071385987020
47874928937006048825941728804726445558472950595484
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22511246949612678048981527958151023832849470730211
58623268979166708897371716288813328574125896002105
52234253126450066766601059300480564120140748552336
96611232703093217213199904256095862158912163795231
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70564800476003347743906012082205640185684266484349
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12207828131451616365295898234402537336762320382508
75492120282575480740455782000705512110264515684212
60645263015500335037103262435806862023436892903856
12858013208292479048892324242891437926936379579771
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71324711360238541010137065802431153627386479397481
23348684831357244274136458378908357255958491925980
35658874387649777921963640787328594520201635930729
89854129015044899752807431821864984905798240573491
40600741150807126892554341838245583515532450000001.
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999952
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45166351157543266626388116876585719731331197052231
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67428701553533242376799124244468943807984536274460
81939396573705238251775230980265907915440665237415
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56247176352207397958239241231871821569326611821981
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55678130706490968414716843713477698992400919967945
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03387415165182547717297735536527214081674461277655
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44397531010696720313974285990207251175069521095868
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20934647077420189135576182733508011596794620086694
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05404360514882766193439633178640694180689123818982
06663391313431780649585874355514218066868098908659
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39581488526189218722594890009036036525565509747452
33891260728412091686274766728681377274547460744768
33636920820654649306975924065424113438754020865447
92912868528618563591462542740409855458812238236937
25299318022518008046374972736597354065339564196863
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42723049681535911413151097166365629566921487309453
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54656927651663822620880100946310870507900448433478
67043040641486611062194455824114704881746049057494
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29417028870413634619741967156861735944196870990965
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53408536108062561859885315143484317374751313974576
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31699261187760579600673613773872060851981568751881
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34666275683722409603603317760496491201888996845070
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32188770784962980632863151011021210830537083321853
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38223772976912800087663494157014706519809572783107
57025498039921621833762432999469183696078932000291
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24712226918901738624952921593299821385859689919827
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50722656485747723684899113830139788272312442697122
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74021956055492985632183139167601535583905943681147
23316311497649489542308957617101250935452755910213
24114525777158579329655319675537192091231867195303
69627889052275944905739080522192787226032281865446
40678193541766142422705962018731192905323884029563
74086271170663801865259178723790593615562622957037
48109926999717490210030155911117430298497738551948
21231062434106902999543488075211827093325656316349
82155077776419480529646421720502634459863180116386
88279640696065372288860020089591492017164972999907
80276743276881992868361939235330702299757238071994
56635638987515251632962523828547018290766353812397
75709318561845661941567548829974484540031195163390
71797409519765473670952293349610803247696698025319
49482054507791516413990122853271666960489666863365
66197582081134799763301953697426355043109334996015
11082508231234442335591588674417755563821799755667
81527088585989442950814143412034532297790931867699
23882743299345922564361976924468667919254783585146
64208347733164117068845831709503672617483835269209
87062261538811815577732562547661769661554381072999
05005962100421312081702237817222942695596903479394
139178

I love using MIRACL Calc

 Posted by Jer on 2005-04-27 17:48:26

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