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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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  Subject Author Date
Hints/Tipsre(3): Bit different with added consideration - short step?broll2013-01-08 07:52:31
re(2): Bit different with added consideration - short step?brianjn2013-01-08 06:48:29
Hints/Tipsre: Bit different with added considerationbroll2013-01-08 04:37:20
Bit different with added considerationbrianjn2013-01-08 02:50:29
re: computer solutionbroll2013-01-07 23:42:48
Solutioncomputer solutionCharlie2013-01-07 18:10:56
Some Thoughtsopen-ended staryAdy TZIDON2013-01-07 17:07:25
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