A228232 Number of strict Gaussian primes of norm less than or equal to n in the first quadrant.

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

Offset: 1

Author

Olivier Gérard, Aug 17 2013

Keywords

• nonn

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

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).

Programs

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 *)