For each pair of Twin Primes $(p_a;p_b)$, the following operation gets applyed:
- Concatenation of the pair to one real number $R_{ab}$ by using a comma inbetween for separation.
- Calculating the square of that real number.
- Decouple the squared real number at the comma back into two integers again.
- Calculating the sum $S_{ab}$ of those two integers.
Example:
$(p_a;p_b)=(59;61)$
- $R_{ab}=59,61=61,59.$
- $R_{ab}^2=(59,61)^2 = 3553,3521$ and $R_{ba}^2=(61,59)^2=3793,3281.$
- $S_{ab}=3553+3521= 7074 = 3793+3281 = 7074 = S_{ba}. $
I'm looking for any explanation on some results of this operation like below:
