The Periodic Table of Primes from period $k^0$ to period $k^{\prime }$

For given $k^0\in N_0$ , $k^{\prime }\in N_{+}$ , and $k^{\prime }>k^0$ , PTP( $k^0,k^{\prime }$ ) is a $48\times \left(k^{\prime }-k^0+1\right)$ table $\left[\lambda \left(i,k+210\right)\right]$ , where $\lambda (\cdot )$ is an integer such that

$11+211\times k^0\le \lambda \left(i,k\right)=r_i+210k\le 211\left(k^{\prime }+1\right)$ ,

for $k\in N_0$ with $k+1\notin L_b\left(i\right)$ and $b=211\left(k^{\prime }+1\right)$ .