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.