%I #22 Apr 24 2023 12:12:25

%S 10,1033,2056,3079,4102,5125,6148,7171,8194,9217,10240,59058,60081,

%T 61104,62127,63150,64173,65196,66219,67242,68265,118106,119129,120152,

%U 121175,122198,123221,124244,125267,126290,177154,178177,179200,180223,181246,182269,183292,184315

%N Numbers that are the sum of 10 positive 10th powers.

%H David A. Corneth, <a href="/A004810/b004810.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)

%e From _David A. Corneth_, Aug 03 2020: (Start)

%e 72332028 is in the sequence as 72332028 = 1^10 + 1^10 + 1^10 + 2^10 + 2^10 + 2^10 + 4^10 + 4^10 + 5^10 + 6^10.

%e 243962883 is in the sequence as 243962883 = 1^10 + 1^10 + 1^10 + 2^10 + 4^10 + 4^10 + 6^10 + 6^10 + 6^10 + 6^10.

%e 312998872 is in the sequence as 312998872 = 1^10 + 2^10 + 3^10 + 3^10 + 3^10 + 4^10 + 5^10 + 5^10 + 5^10 + 7^10. (End)

%t M = 1413602992; m = M^(1/10) // Ceiling; Reap[

%t For[a = 1, a <= m, a++, For[b = a, b <= m, b++, For[c = b, c <= m, c++,

%t For[d = c, d <= m, d++, For[e = d, e <= m, e++, For[f = e, f <= m, f++,

%t For[g = f, g <= m, g++, For[h = g, h <= m, h++, For[i = h, i <= m, i++,

%t For[j = i, j <= m, j++,

%t s = a^10 + b^10 + c^10 + d^10 + e^10 + f^10 + g^10 + h^10 + i^10 + j^10;

%t If[s <= M, Sow[s]]]]]]]]]]]]][[2, 1]] // Union (* _Jean-François Alcover_, Dec 01 2020 *)

%Y Cf. A008454.

%Y Column k=10 of A336725.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_