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.

A078383 Sum of distinct prime factors of numbers which can be written as sum of a positive square and a positive cube.

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%I A078383 #9 Mar 27 2025 04:28:12
%S A078383 2,5,3,7,5,17,5,15,9,31,14,5,37,43,13,7,15,22,10,18,19,5,73,21,7,43,
%T A078383 89,20,7,101,5,113,63,12,127,2,46,69,50,34,39,10,21,30,43,24,22,34,62,
%U A078383 42,10,9,197,22,105,15,38,18,223,8,115,31,233,241,46,12,257,20,16,58,269
%N A078383 Sum of distinct prime factors of numbers which can be written as sum of a positive square and a positive cube.
%H A078383 Amiram Eldar, <a href="/A078383/b078383.txt">Table of n, a(n) for n = 1..10000</a>
%F A078383 a(n) = A008472(A055394(n)).
%t A078383 Total[FactorInteger[#][[;; , 1]]] & /@ Select[Range[300], Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078383 Cf. A008472, A055394, A078377, A078382, A078384.
%K A078383 nonn
%O A078383 1,1
%A A078383 _Reinhard Zumkeller_, Nov 25 2002