Eisenstein primes: Difference between revisions
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Eisenstein numbers can be generated by choosing any a and b such that a and b are integers. To allow generation in a relatively fixed order, such numbers can be ordered by their 2-norm or <em>norm</em>: |
Eisenstein numbers can be generated by choosing any a and b such that a and b are integers. To allow generation in a relatively fixed order, such numbers can be ordered by their 2-norm or <em>norm</em>: |
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norm(eisenstein integer(a, b)) = |a + bω| = <math>a^2 - ab + b^2</math> |
norm(eisenstein integer(a, b)) = |a + bω|² = <math>a^2 - ab + b^2</math> |
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