- Is there a k such that there exists a primitive region of 10^k such that all
regions after this one have less primes than such given k.
between 90 and 99, there is 1 prime, 97
However, between 100 and 109, there are 4 primes.
But consider k=2,
Does every region of 100 have less primes than [0,100]? Or does some region
[j*10^2,(j+1)*10^s-1] have more primes than a lesser region
If not, is this true for k=3, i.e. [0,1000] is a maximal prime set?
I guess what I am trying to say is that, does some minimal k exist such that
the primitive ([0,10^k-1]) set of primes is of maximal magnitude for this k?