A351062 - OEIS

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

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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