A172166 Partial sums of A028388 good primes (version 2).

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

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 * A358307 A131425 A227720

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