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%I #12 Oct 11 2019 16:27:40
%S 2,3,5,5,7,7,11,7,13,17,11,19,13,23,11,11,29,31,19,13,37,13,41,43,47,
%T 19,17,53,29,31,59,61,67,71,17,73,23,79,43,83,19,89,97,29,101,103,107,
%U 31,109,23,113,61,127,131,137,139,73,41,149,151,157,37,83,163,19,167,47
%N a(n) = A008475(A114518(n)).
%H Nathaniel Johnston, <a href="/A114519/b114519.txt">Table of n, a(n) for n = 1..10000</a>
%e A114518(15) = 24 = 2^3 * 3 and 2^3 + 3 = 11 (which is prime). So a(15) = 11.
%t f[n_] := Plus @@ Power @@@ FactorInteger[n]; Select[f /@ Range[175], PrimeQ[ # ] &] (* _Ray Chandler_, Dec 07 2005 *)
%o (PARI) A008475(n)=local(t);if(n<1,0,t=factor(n);sum(k=1,matsize(t)[1],t[k,1]^t[k,2])); for(i=1,500,if(isprime(A008475(i)),print1(A008475(i),","))) (Herrgesell)
%Y Cf. A008475, A114518.
%K nonn
%O 1,1
%A _Leroy Quet_, Dec 05 2005
%E Extended by _Ray Chandler_ and Lambert Herrgesell (zero815(AT)googlemail.com), Dec 07 2005
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