Some Twin Primes

With $n_{32}$ representing the sum of all primes smaller than $2^{32}$, the number $n_{32}-1 = 425649736193687429$ is a member of the twin prime $\left(425649736193687429, 425649736193687431\right)$. The numbers $n_{7} + 1$ and $n_{34} + 1$ are also twin primes: $\left( 1721, 1723 \right)$ and $\left( 6400753258957522037, 6400753258957522039 \right)$ respectively.

It is unknown if that information is of any use but as the saying goes: “You’ll never know!”.