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A378123 a(n) = number of prime divisors of the sum of the first n odd primes.

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%I A378123 #8 Nov 20 2024 09:51:03
%S A378123 1,1,2,2,2,2,2,2,1,2,3,2,2,2,1,3,1,2,2,3,2,2,1,2,2,2,1,2,2,2,1,3,2,3,
%T A378123 2,2,3,3,2,3,3,3,2,4,2,2,2,3,4,3,2,3,1,3,1,3,2,3,2,5,1,5,2,4,1,3,2,3,
%U A378123 3,3,1,3,2,3,1,3,2,3,2,4,3,3,2,2,2,4
%N A378123 a(n) = number of prime divisors of the sum of the first n odd primes.
%F A378123 a(n) = A001221(A071148(n)).
%e A378123 3+5+7+11+13 = 39 = 3*13, so a(5) = 2.
%t A378123 a[n_] := PrimeNu[Total[Prime[1+Range[n]]]]; Array[a, 500]
%o A378123 (PARI) a378123(n)=omega(sum(k=2,n+1,prime(k))) \\ _Hugo Pfoertner_, Nov 19 2024
%Y A378123 Cf. A000040, A071215, A008334, A008335, A378122.
%Y A378123 Cf. A001221, A071148.
%K A378123 nonn
%O A378123 1,3
%A A378123 _Clark Kimberling_, Nov 17 2024