[seqfan] Prime counts with maximal prime spacing.

[John W. Nicholson]

https://math.stackexchange.com/questions/2619130/prime-counts-with-maximal-prime-spacing?noredirect=1&lq=1
The above link has some questions asked, about 18 months ago, with the count of primes using maximal prime gap as the spacing. I can see a few sequences with the definitions but I bet some other more talent than me can write a program fine the values of these sequences.

Can we find the value of this (constant?) in answer:
"We can expect that the ratio m_n/M_n is bounded."


John W. Nicholson