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Squaring the triangle (Posted on 2013-01-07) Difficulty: 3 of 5

The number 185136 has the interesting property that it is a triangular number that is also the product of 3 consecutive integers.

I square 185136 and each of the x consecutive numbers following it, and total the sum of all these squares, S.

Then I do the same with 185136+x+1 and the y consecutive numbers following it, until I again reach the same sum, S.

Find positive integer values of x,y,S compliant with the above requirements.

See The Solution Submitted by broll    
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Some Thoughts open-ended stary | Comment 1 of 7

185136=56*57*58

The rest is ???


  Posted by Ady TZIDON on 2013-01-07 17:07:25
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