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%I #11 Sep 08 2022 08:44:47
%S 1,2,3,2,2,4,3,2,2,5,2,4,3,2,3,4,2,6,3,2,3,2,2,3,4,4,2,3,5,3,3,2,4,2,
%T 4,3,6,2,3,5,3,4,2,4,5,2,2,2,3,4,3,3,3,2,4,3,5,2,5,3,3,4,3,2,3,7,2,4,
%U 4,6,3,2,3,4,2,2,5,6,3,3,2,4,3,3,3,2,3,4,5,2,3,2,4,3,2,3,9,3,2
%N Sum of exponents in prime-power factorization of p(n)+3.
%H G. C. Greubel, <a href="/A023581/b023581.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = A001222(A113935(n)). - _Michel Marcus_, Sep 30 2013
%t Table[PrimeOmega[3 + Prime[n]], {n, 1, 100}] (* _G. C. Greubel_, May 21 2019 *)
%o (PARI) a(n) = bigomega(prime(n) + 3); \\ _Michel Marcus_, Sep 30 2013
%o (Magma) [n eq 1 select 1 else (&+[p[2]: p in Factorization(NthPrime(n) + 3)]): n in [1..100]]; // _G. C. Greubel_, May 21 2019
%o (Sage) [sloane.A001222(nth_prime(n)+3) for n in (1..100)] # _G. C. Greubel_, May 21 2019
%K nonn
%O 1,2
%A _Clark Kimberling_
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