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  • Puzzles.
    #42
    Time out extended for above puzzle.

    Meanwhile here's the new one. The solution is a relatively long one, but I'd encourage you to jog your memory cells.

    Tip: You will need to know a little 'modular arithmetic'. The rest is just simple logic. Try using a paper and pen / pencil.

    'Square Sum'
    Find all pairs of positive integers (m, n), satisfying the following equation.

    2^2016 + 2^2012 + 2^2008 + 2^m = n^2 .

    where, 2^x refers to '2 raised to the power of the number x'.

    PS: I didn't solve it myself. I looked up the solution right away :-p
    (This post was last modified: 03-18-2015, 08:46 AM by radiobox.)

    Progress might have been all right once, but it has gone on too long -- Ogden Nash
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    Messages In This Thread
    Puzzles. - by radiobox - 06-06-2014, 12:42 AM
    RE: Puzzles. - by sporkium - 06-06-2014, 12:45 AM
    RE: Puzzles. - by radiobox - 06-06-2014, 01:02 AM
    RE: Puzzles. - by srijantje - 06-06-2014, 01:25 AM
    RE: Puzzles. - by sporkium - 06-06-2014, 01:32 AM
    RE: Puzzles. - by velvetfog - 06-06-2014, 01:35 AM
    RE: Puzzles. - by radiobox - 06-06-2014, 01:53 AM
    RE: Puzzles. - by sporkium - 06-06-2014, 01:44 PM
    RE: Puzzles. - by ColeMacGrath - 06-06-2014, 02:09 PM
    RE: Puzzles. - by radiobox - 06-07-2014, 08:57 AM
    RE: Puzzles. - by Spud17 - 06-07-2014, 09:45 AM
    RE: Puzzles. - by sporkium - 06-07-2014, 03:20 PM
    RE: Puzzles. - by Spud17 - 06-07-2014, 04:21 PM
    RE: Puzzles. - by LZA - 06-08-2014, 11:57 AM
    RE: Puzzles. - by radiobox - 10-23-2014, 11:56 AM
    RE: Puzzles. - by srijantje - 10-24-2014, 01:09 AM
    RE: Puzzles. - by radiobox - 10-24-2014, 01:43 AM
    RE: Puzzles. - by srijantje - 10-24-2014, 07:13 AM
    RE: Puzzles. - by radiobox - 10-24-2014, 08:12 AM
    RE: Puzzles. - by radiobox - 10-31-2014, 06:24 AM
    RE: Puzzles. - by radiobox - 12-11-2014, 07:31 AM
    RE: Puzzles. - by radiobox - 12-26-2014, 11:23 AM
    RE: Puzzles. - by Spud17 - 12-28-2014, 04:05 AM
    RE: Puzzles. - by radiobox - 12-28-2014, 04:26 AM
    RE: Puzzles. - by Spud17 - 12-28-2014, 04:51 AM
    RE: Puzzles. - by radiobox - 12-28-2014, 04:54 AM
    RE: Puzzles. - by radiobox - 01-02-2015, 11:06 AM
    RE: Puzzles. - by radiobox - 01-05-2015, 01:42 AM
    RE: Puzzles. - by ColeMacGrath - 01-05-2015, 01:20 PM
    RE: Puzzles. - by radiobox - 01-06-2015, 12:06 AM
    RE: Puzzles. - by radiobox - 01-08-2015, 02:39 AM
    RE: Puzzles. - by radiobox - 01-08-2015, 08:16 AM
    RE: Puzzles. - by ColeMacGrath - 01-08-2015, 11:43 AM
    RE: Puzzles. - by radiobox - 01-08-2015, 11:16 PM
    RE: Puzzles. - by ColeMacGrath - 01-09-2015, 04:09 PM
    RE: Puzzles. - by radiobox - 01-10-2015, 02:23 AM
    RE: Puzzles. - by radiobox - 01-11-2015, 02:24 AM
    RE: Puzzles. - by radiobox - 01-13-2015, 01:55 AM
    RE: Puzzles. - by radiobox - 01-13-2015, 10:29 PM
    RE: Puzzles. - by radiobox - 01-29-2015, 02:08 AM
    RE: Puzzles. - by radiobox - 03-16-2015, 09:17 AM
    RE: Puzzles. - by radiobox - 03-18-2015, 08:45 AM
    RE: Puzzles. - by LZA - 10-08-2018, 06:57 PM



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