|
| |
|
|
A228232
|
|
Number of strict Gaussian primes of norm less than or equal to n in the first quadrant.
|
|
4
|
|
|
|
0, 1, 3, 5, 7, 9, 13, 17, 19, 23, 29, 31, 35, 41, 43, 49, 57, 63, 69, 75, 83, 89, 93, 99, 109, 117, 123, 133, 141, 149, 157, 167, 175, 187, 197, 207, 215, 225, 233, 239, 253, 267, 273, 287, 297, 309, 319, 335, 351, 361, 369, 385, 403, 415, 425, 439, 453, 465, 481, 495
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
A Gaussian integer is counted if it has a positive real part and a positive imaginary part (first quadrant excluding the axes).
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 1..1000
|
|
|
MATHEMATICA
|
nn = 60; t = Select[Flatten[Table[a + b*I, {a, nn}, {b, nn}]], PrimeQ[#, GaussianIntegers -> True] &]; Table[Length[Select[t, Abs[#] <= n &]], {n, nn}] (* T. D. Noe, Aug 19 2013 *)
|
|
|
CROSSREFS
|
Cf. A001182 (number of strict Gaussian integers in the first quadrant).
Cf. A062711 (counts the Gaussian primes on axes also).
Cf. A228233 (version of this sequence including the axes).
Sequence in context: A211136 A178653 A222314 * A182058 A200975 A058871
Adjacent sequences: A228229 A228230 A228231 * A228233 A228234 A228235
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Olivier Gérard, Aug 17 2013
|
|
|
STATUS
|
approved
|
| |
|
|
