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\end{equation}  Now, $821$ is prime, $89201$ is $7 \times 12743$, and $8992001$ is $29×149×2081$ \\  Now, $899920001$ is prime, $k=4$ is $139×2239×289181$ and $k=5$ is $12041×747445561$ \\  $k=6$ is $31×29032255483871$, and $k=7$ is $7×12857142742857143$ \\  Interesting that we have the sequences \begin{equation}  \begin{array}{|c|c|}  \hline  k & \\  \hline  1 & 7 \times 12743 \\  7 & 7 \times 12857142742857143 \\  \hline  \end{array}  \end{equation}