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A378122 a(n) = number of prime divisors of the sum of the first n primes.

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%I A378122 #5 Nov 20 2024 09:50:56
%S A378122 1,1,2,1,2,1,2,2,2,2,2,1,3,1,2,2,3,2,2,2,2,2,3,2,3,2,2,2,3,2,3,2,3,2,
%T A378122 2,2,3,2,3,2,3,2,3,2,3,2,3,2,3,3,3,2,4,2,2,3,4,2,2,1,3,2,3,1,2,2,3,3,
%U A378122 3,3,3,2,3,2,2,3,4,2,3,3,2,2,2,4,3,3
%N A378122 a(n) = number of prime divisors of the sum of the first n primes.
%e A378122 2+3+5+7+11 = 28 = 2*2*7, so a(5) = 2.
%t A378122 a[n_] := PrimeNu[Total[Prime[Range[n]]]]; Array[a, 500]
%Y A378122 Cf. A000040, A071215, A008334, A008335, A378123.
%K A378122 nonn
%O A378122 1,3
%A A378122 _Clark Kimberling_, Nov 17 2024