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A172166 Partial sums of A028388 good primes (version 2). 0

%I #3 Mar 30 2012 18:40:50

%S 5,16,33,62,99,140,193,252,319,390,487,588,715,864,1043,1234,1457,

%T 1684,1935,2192,2461,2768,3079,3410,3757,4176,4607,5148,5705,6268,

%U 6837,7424,8017,8616,9257,9984,10717,11456,12265,13086,13939,14868,15805,16772

%N Partial sums of A028388 good primes (version 2).

%C 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?

%F 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}.

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

%Y Cf. A000040, A028388.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Jan 27 2010

%E More terms from _R. J. Mathar_, Jan 30 2010

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