A164980 Number of primes between consecutive terms of A164901.

0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1

Offset

1,1

Comments

Conjecture: Each term is 0 or 1. I have confirmed this for the first 3499 terms while calculating this b-file based on A164901's b-file.

2481 and 1018 are the numbers of 0's and 1's, respectively, and 2481/3499 = 0.7090597... is the maximum density of 0's beyond a(1) up to here.

Maximum known run lengths (through a(3486)): 22 0's beginning at a(1182), 8 1's beginning at a(2).

Again through a(3486), there are 204, 157, 113, 69, 57, 37, 28, 11, 12, 12, 5, 5, 7, 4, 0, 2, 0, 0, 0, 0, 0, 1 runs of 0's of length 1, 2, ..., 22, and 524, 143, 36, 11, 6, 3, 0, 1 runs of 1's of length 1, 2, ..., 8.

Links

Rick L. Shepherd, Table of n, a(n) for n = 1..3499 .

Formula

a(n) = #{primes p | A164901(n) < p < A164901(n+1)}.

Crossrefs

Cf. A164901.

Sequence in context: A168181 A368916 A324732 * A252372 A168182 A204447

Adjacent sequences: A164977 A164978 A164979 * A164981 A164982 A164983

Keyword

nonn

Author

Rick L. Shepherd, Sep 03 2009

Status

approved