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A107738 Primes as a sum of prime factors and their orders in prime decomposition of some n.

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%I A107738 #14 Apr 27 2025 14:54:47
%S A107738 3,7,5,5,11,7,17,13,7,23,11,11,13,13,19,17,41,11,7,47,17,11,17,11,19,
%T A107738 19,13,23,71,23,31,11,13,23,23,83,13,17,37,29,29,101,13,107,29,11,113,
%U A107738 29,37,11,17,131,31,19,37,19,29,19,43
%N A107738 Primes as a sum of prime factors and their orders in prime decomposition of some n.
%H A107738 Robert Price, <a href="/A107738/b107738.txt">Table of n, a(n) for n = 1..10000</a>
%H A107738 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeFactorization.html">Prime Factorization</a>
%t A107738 ta=Table[Plus @@ Flatten[FactorInteger[n]], {n, 300}];bb={};Do[If[PrimeQ[t=ta[[i]]], bb=Append[bb, {i, t}]], {i, 300}];tr=Transpose[bb];A107737=tr[[1]];A107738=tr[[2]]
%Y A107738 Primes occurring in A008474.
%Y A107738 Cf. A107737.
%K A107738 nonn
%O A107738 1,1
%A A107738 _Zak Seidov_, May 23 2005