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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 (list; graph; refs; listen; history; text; internal format)
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

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Cf. A000040, A023201, A172112.

Sequence in context: A299257 A298791 A054307 * A332569 A126573 A000327

Adjacent sequences:  A172292 A172293 A172294 * A172296 A172297 A172298

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Jan 30 2010

EXTENSIONS

More terms from Sean A. Irvine, Sep 27 2011

STATUS

approved

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Last modified March 29 20:20 EDT 2020. Contains 333117 sequences. (Running on oeis4.)