%I A140611
%S A140611 4,6,10,15,16,24,26,32,42,72,78,81,102,111,124,168,172,182,196,205,209,
%T A140611 212,240,243,276,299,301,308,320,326,345,357,361,412,425,426,427,429,
%U A140611 455,477,490,494,526,564,591,605,610,637,638,645,664,670,672,682,684
%N A140611 Consecutive N at which the prime running totals of prime factors in composites
are found.
%F A140611 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 A140611 a(2)=6 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 A140611 Cf. A140610.
%Y A140611 Sequence in context: A000066 A061645 A084372 this_sequence A076957 A121214
A116996
%Y A140611 Adjacent sequences: A140608 A140609 A140610 this_sequence A140612 A140613
A140614
%K A140611 easy,nonn
%O A140611 1,1
%A A140611 Enoch Haga (Enokh(AT)comcast.net), May 19 2008
|