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 Squaring the triangle (Posted on 2013-01-07)

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 No Rating

 Subject Author Date re(3): Bit different with added consideration - short step? broll 2013-01-08 07:52:31 re(2): Bit different with added consideration - short step? brianjn 2013-01-08 06:48:29 re: Bit different with added consideration broll 2013-01-08 04:37:20 Bit different with added consideration brianjn 2013-01-08 02:50:29 re: computer solution broll 2013-01-07 23:42:48 computer solution Charlie 2013-01-07 18:10:56 open-ended stary Ady TZIDON 2013-01-07 17:07:25

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