Perhaps, there is. But there are billions of such relatively simple constructions possible, such as this “Prime Towers Problem”.
I wonder how many of those are already covered by some older proven theorem or some unproven conjecture maybe. I think many of them are still unvisited and unrelated to anything known. If this one is such, I don’t know. It might be. Just might.
If we ask for only the smallest 3000 primes, the answer is then the first tower, which is 2 in height. From there you can see 592 tops.
No major prime gap around 2.
Got it, it’s a combination of gap size and prime magnitude. That’s a weird question, but there might still be a theorem on this.
Perhaps, there is. But there are billions of such relatively simple constructions possible, such as this “Prime Towers Problem”.
I wonder how many of those are already covered by some older proven theorem or some unproven conjecture maybe. I think many of them are still unvisited and unrelated to anything known. If this one is such, I don’t know. It might be. Just might.