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A172295
Partial sums of A023201.
2
5, 12, 23, 36, 53, 76, 107, 144, 185, 232, 285, 346, 413, 486, 569, 666, 767, 870, 977, 1108, 1259, 1416, 1583, 1756, 1947, 2140, 2363, 2590, 2823, 3074, 3331, 3594, 3865, 4142, 4449, 4760, 5091, 5438, 5791, 6158, 6531, 6914, 7347, 7790, 8247
OFFSET
1,1
COMMENTS
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)
LINKS
EXAMPLE
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).
MATHEMATICA
Accumulate[Select[Prime[Range[120]], PrimeQ[#+6]&]] (* Harvey P. Dale, Jan 18 2020 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jan 30 2010
EXTENSIONS
More terms from Sean A. Irvine, Sep 27 2011
STATUS
approved