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A172295 Partial sums of A023201. 2

%I

%S 5,12,23,36,53,76,107,144,185,232,285,346,413,486,569,666,767,870,977,

%T 1108,1259,1416,1583,1756,1947,2140,2363,2590,2823,3074,3331,3594,

%U 3865,4142,4449,4760,5091,5438,5791,6158,6531,6914,7347,7790,8247

%N Partial sums of A023201.

%C A023201 is also known as the smaller numbers of pairs of sexy primes. The subsequence of prime partial sums of smaller numbers of pairs of sexy primes begins 5, 23, 53, 107, 569, 977, 1259, 1583, 3331. The subsubsequence of smaller numbers of pairs of sexy prime partial sums of smaller numbers of pairs of sexy primes begins 5, 107, 977. This is to smaller members of sexy prime pairs as A172112 is to A023200 smaller member p of cousin prime pairs (p, p+4)

%H Harvey P. Dale, <a href="/A172295/b172295.txt">Table of n, a(n) for n = 1..1000</a>

%e a(19) = 5 + 7 + 11 + 13 + 17 + 23 + 31 + 37 + 41 + 47 + 53 + 61 + 67 + 73 + 83 + 97 + 101 + 103 + 107 = 977, which is A023201(73).

%t Accumulate[Select[Prime[Range[120]],PrimeQ[#+6]&]] (* _Harvey P. Dale_, Jan 18 2020 *)

%Y Cf. A000040, A023201, A172112.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Jan 30 2010

%E More terms from _Sean A. Irvine_, Sep 27 2011

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Last modified June 3 05:29 EDT 2020. Contains 334798 sequences. (Running on oeis4.)