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%I #2 Mar 31 2012 10:32:41
%S 2,7,19,41,43,83,103,127,233,569,673,683,1069,1217,1571,2609,2713,
%T 2957,3371,3671,3847,3919,4957,4973,6229,7193,7253,7639,8161,8527,
%U 9439,9949,10159,12959,13687,13763,13831,13967,15497,16741,17681,17807,20047
%N Running prime totals of prime factors (without multiplicity) of consecutive composite N.
%F Compute prime factors (without multiplicity) of consecutive composite N. Maintain a running sum of these prime factors. Whenever the running total at N is prime, add to the sequence.
%e a(2)=7 because when N=6 the sum of composite prime factors is 7 and this total is prime (nonprime totals are not in this sequence). The prime factor (without multiplicity) of the first composite 4 is 2; the second composite is 6 with prime factors 3 and 2, so 2+2+3=7, the prime sum of prime factors at N=6.
%Y Cf. A140611.
%K easy,nonn
%O 1,1
%A _Enoch Haga_, May 19 2008
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