Number of primes in the range n^2 to (n + 1/log(n))^2.
3, 2, 2, 2, 3, 1, 2, 2, 3, 1, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 3, 3, 2, 2, 2, 3, 3, 4, 2, 3, 4, 2, 4, 2, 6, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 5, 2, 3, 3, 2, 5, 4, 2, 4, 3, 4, 1, 2, 5, 3, 5, 5, 4, 5, 2, 3, 3, 6, 7, 5, 2, 4, 6, 2, 5, 3, 4, 3, 5, 3, 7, 3
2
Is this sequence always nonzero?
T. D. Noe, Plot of 5000 terms
T. D. Noe, Table of 5000 terms
(Mma) Table[PrimePi[(n + 1/Log[n])^2] - PrimePi[n^2], {n, 2, 100}]
Cf. A014085.
nonn
T. D. Noe, Mar 22 2015