Gaussian primes strictly in the first quadrant, sorted by magnitude and real part.
1, 1, 1, 2, 2, 1, 2, 3, 3, 2, 1, 4, 4, 1, 2, 5, 5, 2, 1, 6, 6, 1, 4, 5, 5, 4, 2, 7, 7, 2, 5, 6, 6, 5, 3, 8, 8, 3, 5, 8, 8, 5, 4, 9, 9, 4, 1, 10, 10, 1, 3, 10, 10, 3, 7, 8, 8, 7, 4, 11, 11, 4, 7, 10, 10, 7, 6, 11, 11, 6, 2, 13, 13, 2, 9, 10, 10, 9, 7, 12, 12, 7
1
Here we exclude complex numbers of the form r+0i for r > 0.
T. D. Noe, Plot of 1219 pairs
T. D. Noe, Table of 1219 pairs
T. D. Noe, Numbers plotted in the complex plane
Eric W. Weisstein, MathWorld: Gaussian Prime
(Mma) nn = 10; t = Select[Flatten[Table[a + b*I, {a, nn}, {b, nn}]], Abs[#] <= nn && PrimeQ[#, GaussianIntegers -> True] &]; t2 = Sort[t, Abs[#1] <= Abs[#2] &]; Flatten[Transpose[{Re /@ t2, Im /@ t2}]]
nonn
T. D. Noe, Dec 14 2014