A351066 Sums of three perfect powers with different exponents: m = a^x + b^y + c^z with a > 0, b > 0, c > 0, x > 1, y > 1, z > 1 and x, y, z are all different, with m not representable with fewer such addends.

3, 6, 11, 18, 21, 34, 45, 56, 69, 74, 75, 84, 93, 98, 105, 112, 123, 124, 131, 138, 143, 146, 149, 154, 159, 166, 173, 178, 187, 190, 191, 194, 203, 210, 213, 214, 215, 218, 219, 222, 227, 234, 235, 236, 239, 240, 245, 254, 255, 258, 261, 262, 263, 266, 267, 274, 275, 276

Offset: 1

Author

Alberto Zanoni, Jan 31 2022

Keywords

• nonn

Examples

			3 is a term as 3 = 1^2 + 1^3 + 1^4.
6 is a term as 6 = 2^2 + 1^3 + 1^4.
18 is a term. The possibilities are 1^2 + 1^3 + 2^4 or 3^2 + 2^3 + 1^4 or 4^2 + 1^3 + 1^4 (considering only minimal possible exponents for bases equal to 1).
		

Crossrefs

Cf. A074499, A351062, A351063.

Extensions

Definition clarified by Alberto Zanoni, Feb 28 2022