4 problems

The a-Sophie Germain prime probability conjecture. The probability that a given prime $p$ is $a$-SGP converges, as $p\to\infty$, to the common asymptotic value represented by

The 2-Sophie Germain prime probability conjecture. The probability that a given prime $p$ is $2$-SGP converges to $0.76$ as $p\to\infty$.

Let $f$ be a Collatz function and let $\{f^{s}(b)\}_{s=1}^{\infty}$ be the corresponding Collatz process. A process is full in the sense used by the source, and define … Let $\rho$…

Let $x\geq 1$ be large, and let $\Lambda$ be the von Mangoldt function. Germain prime conjecture. … where … This predicts a quantitative distribution for Sophie Germain primes, nam…