|
Search: id:A055027
|
|
|
| A055027 |
|
Number of inequivalent Gaussian primes of successive norms (indexed by A055025). |
|
+0
2
|
|
| 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
These are the primes in the ring of integers a+bi, a and b rational integers, i = sqrt(-1).
Two primes are considered equivalent if they differ by multiplication by a unit (+-1, +-i).
|
|
REFERENCES
|
R. K. Guy, Unsolved Problems in Number Theory, A16.
L. W. Reid, The Elements of the Theory of Algebraic Numbers, MacMillan, NY, 1910, see Chap. V.
|
|
LINKS
|
Index entries for Gaussian integers and primes
|
|
EXAMPLE
|
There are 8 Gaussian primes of norm 5, +-1+-2i and +-2+-i, but only two inequivalent ones (2+-i).
|
|
CROSSREFS
|
Cf. A055025-A055029, A055664-...
Sequence in context: A098396 A043532 A043557 this_sequence A096993 A043533 A043558
Adjacent sequences: A055024 A055025 A055026 this_sequence A055028 A055029 A055030
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
njas, Jun 09 2000
|
|
EXTENSIONS
|
More terms from Reiner Martin (reinermartin(AT)hotmail.com), Jul 20 2001
|
|
|
Search completed in 0.002 seconds
|
