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Product of 2 consecutive prime differences of two successive terms of A001223.
3

%I #16 Sep 12 2019 10:12:02

%S 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,

%T 8,56,56,24,12,20,20,12,36,24,24,36,12,20,20,8,8,24,144,48,8,8,24,12,

%U 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

%N Product of 2 consecutive prime differences of two successive terms of A001223.

%H Hauke Löffler, <a href="/A083550/b083550.txt">Table of n, a(n) for n = 1..10000</a>

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

%t f[x_] := Prime[x+1]-Prime[x]

%t Table[f[w+1]*f[w], {w, 1, 128}]

%Y Cf. A001223, A083538-A083555, A057467.

%K nonn

%O 1,1

%A _Labos Elemer_, May 22 2003