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# Value k

$\displaystyle{ 2kp+1 }$ where $\displaystyle{ p }$ is the exponent in $\displaystyle{ 2^p-1 }$.
\displaystyle{ \begin{align}2^{23}-1 &= 8388607\\&= 47 * 178481\\ \\ 47 &= 2 * 1 * 23 + 1\\ 178481 &= 2 * 3880 * 23 + 1 \end{align} }
So, we see that for the factor 47, $\displaystyle{ k=1 }$ and for 178481, $\displaystyle{ k=3880 }$.