A326915 Number of terms of A002386 (primes preceding record prime gaps) in the interval (2^n, 2^(n+1)].

1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 3, 0, 3, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 3, 1, 1, 2, 5, 2, 3, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 0, 0, 0, 0, 2, 1, 2, 4, 1, 1, 0, 2, 3

Offset

0,7

Comments

The record prime gaps are in A005250; the corresponding primes are in A002386.

Links

Table of n, a(n) for n=0..63.

Example

For n=3, there are no primes p_m in A002386 in the range 2^3 = 8 < p_m <= 16 = 2^4, so a(3)=0.
For n=6, there are 2 primes p_m in A002386 in the range 2^6 = 64 < p_m <= 128 = 2^7, namely p_m = 89, 113, so a(6)=2.

Crossrefs

Cf. A000101 (upper ends), A005250 (record gaps).

Sequence in context: A216218 A122071 A353724 * A099766 A194947 A132339

Adjacent sequences: A326912 A326913 A326914 * A326916 A326917 A326918

Keyword

nonn

Author

John W. Nicholson, Oct 20 2019

Status

approved