A074499 -id:A074499

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A135367

Not the sum of three perfect powers (assuming 1, but not 0, is a perfect power).

+10
4

1, 2, 4, 5, 7, 8, 15, 23, 31, 87, 111, 119, 167, 335, 1391, 1455, 1607, 1679, 1991, 25887, 26375

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

No other terms < 10^9. Presumably the sequence is finite.

LINKS

Table of n, a(n) for n=1..21.

CROSSREFS

Cf. A113505, A135693, A135393, A135402.

Complement of A074499.

KEYWORD

nonn

AUTHOR

Zak Seidov and Giovanni Resta, Feb 24 2008

STATUS

approved

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.

+10
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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..58.

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

Cf. A074499, A351062, A351063.

KEYWORD

nonn

AUTHOR

Alberto Zanoni, Jan 31 2022

EXTENSIONS

Definition clarified by Alberto Zanoni, Feb 28 2022

STATUS

approved

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