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A172166 Partial sums of A028388 good primes (version 2). 0
5, 16, 33, 62, 99, 140, 193, 252, 319, 390, 487, 588, 715, 864, 1043, 1234, 1457, 1684, 1935, 2192, 2461, 2768, 3079, 3410, 3757, 4176, 4607, 5148, 5705, 6268, 6837, 7424, 8017, 8616, 9257, 9984, 10717, 11456, 12265, 13086, 13939, 14868, 15805, 16772 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime partial sums of good primes begin a(1) = 5, a(7) = 193, a(11) = 487, a(23) = 3079. Good prime partial sums of good primes begin a(1) = 5, and what are the next of that subsequence?

LINKS

Table of n, a(n) for n=1..44.

FORMULA

a(n) = SIM[i=1..n] {p_n such that (p_n)^2 > p_{n-i}p_{n+i} for all 1 <= i <= n-1}.

EXAMPLE

a(20) = 5 + 11 + 17 + 29 + 37 + 41 + 53 + 59 + 67 + 71 + 97 + 101 + 127 + 149 + 179 + 191 + 223 + 227 + 251 + 257 = 2192.

CROSSREFS

Cf. A000040, A028388.

Sequence in context: A045944 A038361 A227719 * A131425 A227720 A096941

Adjacent sequences:  A172163 A172164 A172165 * A172167 A172168 A172169

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Jan 27 2010

EXTENSIONS

More terms from R. J. Mathar, Jan 30 2010

STATUS

approved

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)