A351062 Numbers which are the sum of two perfect powers with different exponents: m = a^x + b^y with a > 0, b > 0, x > 1, y > 1 and x different from y, with m not a perfect power.

2, 5, 10, 12, 17, 20, 24, 26, 28, 31, 33, 37, 40, 41, 43, 44, 48, 50, 52, 57, 59, 63, 65, 68, 72, 73, 76, 80, 82, 85, 89, 90, 91, 96, 97, 101, 106, 108, 113, 116, 117, 122, 126, 127, 129, 130, 132, 134, 136, 137, 141, 145, 148, 150, 152, 153, 155, 157, 160, 161, 162, 164, 170

Offset

1,1

Links

Table of n, a(n) for n=1..63.

Example

2 is a term, as 2 = 1^2 + 1^3.
5 is a term, as 5 = 2^2 + 1^3.
17 is a term, as 17 = 1^2 + 2^4 or 3^2 + 2^3 or 4^2 + 1^3 (considering minimal possible exponents for bases equal to 1).

Crossrefs

Cf. A001597, A070049, A327609.

Sequence in context: A018288 A245480 A080792 * A182656 A090050 A274454

Adjacent sequences: A351059 A351060 A351061 * A351063 A351064 A351065

Keyword

nonn

Author

Alberto Zanoni, Jan 31 2022

Extensions

Definition clarified by Alberto Zanoni, Feb 28 2022

Status

approved