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A078379 Minimum exponent in prime factorization of numbers which can be written as sum of a positive square and a positive cube.

%I A078379 #9 Mar 27 2025 04:28:58
%S A078379 1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,1,1,
%T A078379 1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
%U A078379 1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1
%N A078379 Minimum exponent in prime factorization of numbers which can be written as sum of a positive square and a positive cube.
%H A078379 Amiram Eldar, <a href="/A078379/b078379.txt">Table of n, a(n) for n = 1..10000</a>
%F A078379 a(n) = A051904(A055394(n)).
%t A078379 Min[FactorInteger[#][[;; , 2]]] & /@ Select[Range[300], Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078379 Cf. A051904, A055394, A078378, A078379, A078380.
%K A078379 nonn
%O A078379 1,3
%A A078379 _Reinhard Zumkeller_, Nov 25 2002