A003361 Numbers that are the sum of 5 positive 6th powers.

5, 68, 131, 194, 257, 320, 733, 796, 859, 922, 985, 1461, 1524, 1587, 1650, 2189, 2252, 2315, 2917, 2980, 3645, 4100, 4163, 4226, 4289, 4352, 4828, 4891, 4954, 5017, 5556, 5619, 5682, 6284, 6347, 7012, 8195, 8258, 8321, 8384, 8923, 8986, 9049, 9651, 9714, 10379, 12290

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			From _David A. Corneth_, Aug 03 2020: (Start)
1071803 is in the sequence as 1071803 = 3^6 + 4^6 + 4^6 + 9^6 + 9^6.
3563572 is in the sequence as 3563572 = 3^6 + 4^6 + 5^6 + 11^6 + 11^6.
4862156 is in the sequence as 4862156 = 1^6 + 4^6 + 5^6 + 5^6 + 13^6. (End)
		

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001014 (sixth powers).

Programs

Mathematica

With[{upto=10000},Select[Union[Total/@Tuples[Range[Floor[Surd[upto-4,6]]]^6,5]],#<=upto&]] (* Harvey P. Dale, Apr 01 2016 *)