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

Author

Jonathan Vos Post, Jan 27 2010

Keywords

• easy
• nonn

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?

Examples

			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.

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}.

Extensions

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