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About: Loeschian number     Goto   Sponge   NotDistinct   Permalink

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In number theory, the numbers of the form x2 + xy + y2 for integer x, y are called theLoeschian numbers. These numbers are named after August Lösch. They are the norms of the Eisenstein integers. They are a set of whole numbers, including zero, and having prime factorization in which all primes congruent to 2 mod 3 have even powers (there is no restriction of primes congruent to 0 or 1 mod 3).