Tree of Eisenstein triples

Primes, divisors, arithmetic, number properties, ...
Post Reply
Posts: 496
Joined: Sun Mar 22, 2015 2:30 pm
Location: India

Tree of Eisenstein triples

Post by MuthuVeerappanR »

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??
It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.
User avatar
Posts: 561
Joined: Sun Aug 17, 2014 4:59 pm
Location: Birmingham, UK

Re: Tree of Eisenstein triples

Post by sjhillier »

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.
Post Reply