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Puzzles.
#41
^bump.

Time-out in 24 hours; and time for a 'super puzzle'.
Progress might have been all right once, but it has gone on too long -- Ogden Nash
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#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
Progress might have been all right once, but it has gone on too long -- Ogden Nash
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#43
I don't think this an actual puzzle...More like a fun fact with maths involved.

I read that this year of 2018 is the only year where we'll be alive that we can take our birth year, add our age (what it will be on your 2018 b/day), and have it equal 2018

If you were born in say..1938, this year you'd be 80.. 1938+80 = 2018 // 1960 (58) which equals 2018!

Join the fun and try it with YOUR info!!!
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