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\section{Predictions}  Thus we may set up the following rules.   \begin{equation}  \begin{array}{|c|c|}  \hline  If\;True & Last \; Digit \\  \hline  n\;mod\;4=1 & 2 \\  n\;mod\;4=2 & 4 \\  n\;mod\;4=3 & 8 \\  n\;mod\;4=4 & 6 \\  \hline  \end{array}  \end{equation}  \begin{equation}  \begin{array}{|c|c|}  \hline  If\;True & 2^{nd} \; to \; Last \; Digit \\  \hline  n-1\;mod\;20=k & D_1(k) \\  \hline  \end{array}  \end{equation}  In general for any digit, if \begin{equation}  (n-p) \; mod \; 4\cdot5^p = k , \; p\in[0,...]  \end{equation}  then the $p^{th}$ least significant digit is $D_p(k\;mod\;4\cdot5^p)$, that is the $(k\;mod\;4\cdot5^p)^{th}$ term in the series $D_p$.