cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A078384 Sum of all prime factors of numbers which can be written as sum of a positive square and a positive cube.

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%I A078384 #9 Mar 27 2025 04:25:49
%S A078384 2,5,6,7,7,17,9,15,11,31,14,10,37,43,15,12,17,22,13,18,21,12,73,23,13,
%T A078384 43,89,20,14,101,13,113,63,15,127,14,46,69,50,34,41,15,25,30,45,24,25,
%U A078384 34,62,42,16,18,197,24,105,21,38,20,223,16,115,35,233,241,46,17,257,22
%N A078384 Sum of all prime factors of numbers which can be written as sum of a positive square and a positive cube.
%H A078384 Amiram Eldar, <a href="/A078384/b078384.txt">Table of n, a(n) for n = 1..10000</a>
%F A078384 a(n) = A001414(A055394(n)).
%t A078384 Total[Times @@@ FactorInteger[#]] & /@ Select[Range[300], Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078384 Cf. A001414, A055394, A078378, A078382, A078383.
%K A078384 nonn
%O A078384 1,1
%A A078384 _Reinhard Zumkeller_, Nov 25 2002