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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
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
1,1
EXAMPLE
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
KEYWORD
nonn
AUTHOR
Alberto Zanoni, Jan 31 2022
EXTENSIONS
Definition clarified by Alberto Zanoni, Feb 28 2022
STATUS
approved