Tree of Eisenstein triples

Primes, divisors, arithmetic, number properties, ...
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Tree of Eisenstein triples

Post by MuthuVeerappanR » Wed Jun 29, 2016 11:56 am

We know that the primitive Pythagorean triples can be generated using (3,4,5) as a seed and multiplied with three matrices given in 'Tree of Pythagorean triples' wiki page.

I was wondering why is such a formulation not possible for Eisenstein triples? Does such matrices exist with a seed or is it impossible at all?

Any thoughts or ideas on this??
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Re: Tree of Eisenstein triples

Post by sjhillier » Wed Jun 29, 2016 8:55 pm

Good question, but I suspect the answer to this is running very close to giving away a potential solution to at least one of the problems in Project Euler, so this is probably not the appropriate forum. Sorry.

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