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Listing cubes (Posted on 2013-10-01) Difficulty: 3 of 5
List all integers n, below 10000, such that 12*(n^2 + 2) is a perfect cube.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

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re: A start - small hint. | Comment 2 of 3 |
(In reply to A start by Jer)

a. Since n appears only in an even power i.e. n^2, both positive and negative integers qualify.

b.It is much easier to get all the answers once you
understand    that (n^2+2) must equal 18*k^3.
Just continue from here - you will not be "stuck"- just evaluate n for k=1, 2  etc.

  Posted by Ady TZIDON on 2013-10-01 15:07:04
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