A222593 Pairs of numbers (a,b) such that a + b*I is a first-quadrant Gaussian prime, ordered by a+b and then a.

1, 1, 0, 3, 1, 2, 2, 1, 3, 0, 1, 4, 2, 3, 3, 2, 4, 1, 0, 7, 1, 6, 2, 5, 5, 2, 6, 1, 7, 0, 2, 7, 4, 5, 5, 4, 7, 2, 0, 11, 1, 10, 3, 8, 5, 6, 6, 5, 8, 3, 10, 1, 11, 0, 3, 10, 4, 9, 5, 8, 8, 5, 9, 4, 10, 3, 1, 14, 2, 13, 4, 11, 7, 8, 8, 7, 11, 4, 13, 2, 14, 1

Offset: 1

Author

T. D. Noe, Feb 27 2013

Keywords

• nonn

Comments

Gaussian primes on the positive real and imaginary axes are included. Note that the primes are ordered by their taxicab distance from the origin.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1662 (taxicab distance less than 100)

Crossrefs

Cf. A218858, A218859 (number of Gaussian primes at taxicab distance n).

Programs

Mathematica

nn = 20; t = {}; Do[If[PrimeQ[i + (j - i) I, GaussianIntegers -> True], AppendTo[t, {i, j-i}]], {j, 0, nn}, {i, 0, j}]; Flatten[t]