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So we can describe families of families. So for example if we wish to describe numbers of the form \begin{equation}  [a|b;c|d] N_{a,b,c}^d=[a|b;c|d]  \end{equation}  and which of them are prime, we can create a binary array \begin{equation}  P_{abcd}, P_{a,b,c}^d,  \;\;\; a,b,d \in [0,9], \;\; c \in \mathbb{N}^0, \end{equation}  We can then state certain rules \begin{equation}  N_{a,a,c}^d = N_{0,a,c+1}^d \\  N_{0,0,c}^d = d \\  \end{equation}