With the intention of understanding how prime numbers contribute to the numerical results we get when we perform any possible numerical calculation (also on real numbers), since they are those natural numbers with which all other natural numbers can be created, and natural numbers, through the 4 ...

Motivation: Let $n$ be a natural number and $R_n$ be the largest natural number such that $$\frac{2^{R_n-3}}{R_n}\le n$$ Let $\mathbb{\operatorname{CB}}(n) = x_1 x_2 x_3 \ldots x_r \ldots $ be the infinite bitstring of the Collatz $T$ function: $$T(n) = \frac{n}{2}, \text{ if }n \equiv 0 \mod (2)...