A349592 Number of prime lucky numbers k between powers of 2, 2^n < k < 2^(n+1).

0, 1, 1, 1, 1, 2, 4, 6, 10, 19, 25, 46, 70, 126, 226, 360, 708, 1237, 2215, 3902, 7281, 13243, 24140, 44006, 81479, 150526, 278981, 519383, 966444, 1803380, 3376209, 6330436, 11904432

Offset

0,6

Links

Table of n, a(n) for n=0..32.

Formula

a(n) = # { x in A031157 | 2^n < x < 2^(n+1) }. - M. F. Hasler, Nov 24 2021

Example

a(6) = 4 since there are 4 prime lucky numbers (67, 73, 79, and 127) between 2^6 = 64 and 2^7 = 128.

Crossrefs

Cf. A000040, A000959, A031157, A036378, A309399.

Sequence in context: A288465 A000067 A133140 * A026680 A317639 A164141

Adjacent sequences: A349589 A349590 A349591 * A349593 A349594 A349595

Keyword

nonn,more

Author

Kevin P. Thompson, Nov 22 2021

Status

approved