A155750 First differences of A031215.

4, 6, 6, 10, 8, 6, 10, 8, 10, 8, 10, 12, 6, 6, 18, 8, 12, 12, 10, 8, 12, 6, 24, 6, 10, 12, 12, 8, 10, 12, 18, 6, 20, 12, 10, 14, 10, 14, 12, 12, 12, 10, 14, 6, 16, 12, 12, 18, 20, 16, 12, 8, 16, 8, 12, 6, 22, 6, 12, 14, 10, 18, 18, 14, 10, 14, 12, 18, 22, 12, 6, 12, 18, 6, 18, 6, 24

Offset

1,1

Comments

All terms are even. Do all even numbers (A005843) appear at least once?

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Formula

a(n) = A001223(2n) + A001223(2n+1). - R. J. Mathar, Feb 27 2009

a(n) = A031131(2n). - R. J. Mathar, Feb 27 2009

Mathematica

Table[Prime[2*n+2] - Prime[2 n], {n, 80}] (* G. C. Greubel, Jun 05 2021 *)

Prog

(Sage) [nth_prime(2*n+2) - nth_prime(2*n) for n in (1..80)] # G. C. Greubel, Jun 05 2021

Crossrefs

Cf. A005843, A031215.

Cf. A001223, A031131, A110854, A155067.

Sequence in context: A183986 A160995 A215454 * A159475 A098350 A276269

Adjacent sequences: A155747 A155748 A155749 * A155751 A155752 A155753

Keyword

nonn,easy

Author

Paul Curtz, Jan 26 2009

Extensions

Edited and extended by R. J. Mathar, Feb 27 2009

Status

approved