login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Product of upper bound twin-prime-indexed primes and their upper bound twin prime.
0

%I #14 Jan 07 2017 00:52:59

%S 55,119,533,1273,3937,8213,17263,26791,57989,65291,110783,132427,

%T 196747,226003,242183,331363,367043,471811,522701,651353,820499,

%U 1224689,1307227,1527437,1967003,2371363,2657021,2826973,3078041,3267323

%N Product of upper bound twin-prime-indexed primes and their upper bound twin prime.

%F Let prime(i) = i-th prime, let twin(n) = (P, Q) be n-th pair of twin primes; sequence gives prime(Q)*Q.

%e The 3rd pair of twin primes is twin(3) = (11,13), prime(13) = 41, a(3) = 41*13 = 533.

%t #*Prime[#]&/@(Transpose[Select[Partition[Prime[Range[200]],2,1], Last[#]- First[#] ==2&]][[2]]) (* _Harvey P. Dale_, Jun 04 2014 *)

%Y Cf. A057470, A057473.

%K easy,nonn

%O 1,1

%A _Cino Hilliard_, Mar 04 2003