Super-crudely the n’th prime number is about n log n. If this were exact then each tower would see all the others, because the function x → x log x is convex. In practice there are little “random” fluctuations which make a difference. It’s possible that the answer to the question depends critically on those random fluctuations and can be found only by brute force...
Initial handwaving:
Super-crudely the n’th prime number is about n log n. If this were exact then each tower would see all the others, because the function x → x log x is convex. In practice there are little “random” fluctuations which make a difference. It’s possible that the answer to the question depends critically on those random fluctuations and can be found only by brute force...