The conjectured minimum of the prime-indexed density constants

For each prime $p$, let $\delta_p$ denote the density constant associated with the set of $p$-Carmichael numbers, as defined by

$$\delta_p:=\lim_{n\to\infty}\frac{|\mathfrak{C}_1\cap[1,n]|}{|\mathfrak{C}_p\cap[1,n]|}.$$

Density-minimum conjecture.

$$0.18<\delta_5<\delta_p\quad\text{for all prime }p\in\mathbb{N}\setminus\{5\}.$$

This conjecture predicts that $\delta_5$ is the smallest of the prime-indexed density constants and gives the numerical lower bound $0.18$. The existence of the relevant limits is part of the preceding conjectural framework and is not proved in the supplied text.