Named after | August Lösch |
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Subsequence of | A032766 |
Formula | x2 + xy + y2 for integer x, y |
First terms | 0, 1, 3, 4, 7, 9, 12, 13, 16 |
OEIS index |
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In number theory, the numbers of the form x2 + xy + y2 for integer x, y are called the Löschian numbers (or Loeschian 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).
Named after | August Lösch |
---|---|
Subsequence of | A032766 |
Formula | x2 + xy + y2 for integer x, y |
First terms | 0, 1, 3, 4, 7, 9, 12, 13, 16 |
OEIS index |
|
In number theory, the numbers of the form x2 + xy + y2 for integer x, y are called the Löschian numbers (or Loeschian 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).