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%I #12 Mar 30 2012 18:40:52
%S 2,6,13,24,39,58,81,109,142,180,223,271,324,382,445,513,586,665,750,
%T 841,938,1041,1150,1265,1386,1513,1646,1785,1930,2081,2238,2401,2570,
%U 2745,2926,3113,3306,3505,3710,3921,4138,4362,4593,4831,5076
%N Partial sums of problimes (third definition, A003068).
%C The subsequence of prime partial sums of problimes begins: 2, 13, 109, 223, 271, 2081, 4831, 8233.
%C The subsequence of problime partial sums of problimes begins: 2, 58, 109.
%F SUM[i=1..n] A003068(i).
%e a(12) = 2 + 4 + 7 + 11 + 15 + 19 + 23 + 28 + 33 + 38 + 43 + 48 = 271 is prime.
%Y Cf. A003068, A007504, A013918.
%K nonn,easy
%O 1,1
%A _Jonathan Vos Post_, Dec 28 2010