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Numbers that are the sum of 2 positive 5th powers.
61

%I #28 Sep 09 2022 17:24:40

%S 2,33,64,244,275,486,1025,1056,1267,2048,3126,3157,3368,4149,6250,

%T 7777,7808,8019,8800,10901,15552,16808,16839,17050,17831,19932,24583,

%U 32769,32800,33011,33614,33792,35893,40544,49575,59050,59081,59292,60073,62174,65536,66825,75856

%N Numbers that are the sum of 2 positive 5th powers.

%H David A. Corneth, <a href="/A003347/b003347.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)

%H Samuel S. Wagstaff, Jr., <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Wagstaff/wagstaff8.html">Equal Sums of Two Distinct Like Powers</a>, J. Int. Seq., Vol. 25 (2022), Article 22.3.1.

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

%e 917552689 is in the sequence as 917552689 = 17^5 + 62^5.

%e 2557575000 is in the sequence as 2557575000 = 45^5 + 75^5.

%e 5828050944 is in the sequence as 5828050944 = 56^5 + 88^5. (End)

%t With[{k = 5}, Union@ Map[(#[[1]]^k + #[[2]]^k) &, Tuples[Range[9], {2}]]] (* _Michael De Vlieger_, Sep 09 2022, after _Harvey P. Dale_ at A004999 *)

%Y Cf. A000584, A003336, A003348, A003358, A088703.

%K nonn

%O 1,1

%A _N. J. A. Sloane_