%I
%S 10,22,36,51,71,92,118,151,186,224,268,316,367,432,500,586,679,775,
%T 886,998,1114,1237,1398,1586,1787,1990,2196,2405,2615,2830,3051,3329,
%U 3626,3926,4230,4536,4857,5209,5565,5936,6320,6715,7113,7526,7946,8387,8858
%N Partial sums of A050705.
%C Partial sums of composite number such that when sum of its prime factors is added or subtracted becomes prime. The subsequence of primes in the partial sums begins: 71, 151, 367, 1237, 1787, 3329, 5209, 8387, 9343, 13781. The subsequence of partial sums which are themselves composite number such that when sum of their prime factors is added or subtracted becomes prime, begins: 10, 51, which other such fixed points are there?
%F a(n) = SUM[i=1..n] A050705(i) = SUM[i=1..n] {n such that n+A001414(n) is in A000040, and nA001414(n) is in A000040}.
%e a(13) = 10 + 12 + 14 + 15 + 20 + 21 + 26 + 33 + 35 + 38 + 44 + 48 + 51 = 367 is prime.
%Y Cf. A000040, A001414, A050705, A050703A050710.
%K nonn
%O 1,1
%A _Jonathan Vos Post_, May 13 2010
