deletions | additions       diff --git a/The 21 thing.tex b/The 21 thing.tex  index b0a33e3..60e7335 100644  --- a/The 21 thing.tex  +++ b/The 21 thing.tex 
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Equally our friendly primes and combinations thereof can be expressed \begin{equation}  101 = \frac{(21;;2)}{(21;;1)} \\  13×37 = 481 = \frac{(21;;2)^2}{(21;;1)} \frac{(21;;3)}{(21;;1)^2}  \\ 9901 = \frac{(21;;1)(21;;6)}{(21;;2)(21;;3)} \\  73×137 = 12629 = \frac{(21;;4)}{(21;;2)} 
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d_1d_2k^n_1 = (d_1;n)|0 + 0|(d_2;n) \\    \end{equation}  It would seem that the following are true by partial sums.  \begin{equation}  \sum_{n=1}^{\infty} \frac{ (21;;1)^n }{ (21;;2) ^n} = \frac{1}{10}\frac{1}{(10;;1)} \\  \sum_{n=1}^{\infty} \frac{ (21;;1)^n }{ (21;;3) ^n} = \frac{1}{10}\frac{1}{(10;;2)} \\  \sum_{n=1}^{\infty} \frac{ (21;;1)^n }{ (21;;4) ^n} = \frac{1}{10}\frac{1}{(10;;3)} \\  \sum_{n=1}^{\infty} \frac{ (21;;2)^n }{ (21;;3) ^n} = \frac{101}{10000}   \end{equation}