deletions | additions       diff --git a/Predictions.tex b/Predictions.tex  index eb8d307..b057e8c 100644  --- a/Predictions.tex  +++ b/Predictions.tex 
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In general, for any digit of $2^n$, which is $p$ places away from the least significant, if \begin{equation}  (n-p) \; mod \; 4\cdot5^p = k ,\;\; p\in[0,\infty],  \end{equation}  the $p^{th}$ least significant digit is $D_p(k)$, that is the $k^{th}$ term in the series $D_p$. Thus by knowing that $D_0(1)=2$,$D_1(12)=9$,$D_2(11)=1$,$D_3(10)=8$. We can tell that the number $2^{50000013}$, must end in the digits $8192$.