By Bertrand' postulate, there exists a prime between $2^n$ and $2^{n+1}$.
For every $n$, is there a prime $p < 2^n$ such that $2^n+p$ is a prime?
The smallest such primes are listed in OEIS A056206.
By Bertrand' postulate, there exists a prime between $2^n$ and $2^{n+1}$.
For every $n$, is there a prime $p < 2^n$ such that $2^n+p$ is a prime?
The smallest such primes are listed in OEIS A056206.