A083550 Product of 2 consecutive prime differences of two successive terms of A001223.

2, 4, 8, 8, 8, 8, 8, 24, 12, 12, 24, 8, 8, 24, 36, 12, 12, 24, 8, 12, 24, 24, 48, 32, 8, 8, 8, 8, 56, 56, 24, 12, 20, 20, 12, 36, 24, 24, 36, 12, 20, 20, 8, 8, 24, 144, 48, 8, 8, 24, 12, 20, 60, 36, 36, 12, 12, 24, 8, 20, 140, 56, 8, 8, 56, 84, 60, 20, 8, 24, 48, 48, 36, 24, 24, 48

Offset: 1

Author

Labos Elemer, May 22 2003

Keywords

• nonn

Links

• Hauke Löffler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001223, A083538-A083555, A057467.

Programs

Mathematica

f[x_] := Prime[x+1]-Prime[x]
Table[f[w+1]*f[w], {w, 1, 128}]

Formula

a(n) = A001223(n)*A001223(n+1) = (prime(n+1)-prime(n))*(prime(n+2)-prime(n+1)).