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

Author

Paul Curtz, Jan 26 2009

Keywords

• nonn
• easy

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

Crossrefs

Cf. A005843, A031215.

Cf. A001223, A031131, A110854, A155067.

Programs

Mathematica

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

Sage

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

Formula

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

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

Extensions

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