Gaussian Primes

Figure 1

Above is an excerpt from David Well's "Prime Numbers" of which I have an electronic copy as well as a physical copy (in Jakarta). It concerns, as can be seen, Gaussian primes; the pattern described above is shown below:

Figure 2

This pattern would emerge as the primes are plotted on the Argand diagram. The OEIS's associated with Gaussian primes are described below:

Figure 3

$1949$, the year that I was born, is not a Gaussian prime since it is a $4n+1$ prime and can be expressed as $10^2+43^2 =(10+43i)(10-43i)$. The next prime $1951$ is a $4n+3$ and hence a Gaussian prime.