A374421 a(n) is the smallest number which can be represented as the sum of 3 distinct positive n-th powers in exactly 2 ways, or -1 if no such number exists.

8, 62, 1009, 6578, 1375298099, 160426514

Offset

1,1

Comments

a(7) > 10^20, if it is not -1. - Michael S. Branicky, Jul 09 2024

Links

Table of n, a(n) for n=1..6.

Example

a(5) = 1375298099 = 3^5 + 54^5 + 62^5 = 24^5 + 28^5 + 67^5.
a(6) = 160426514 = 3^6 + 19^6 + 22^6 = 10^6 + 15^6 + 23^6.

Crossrefs

Cf. A046881, A374418, A374422, A374423, A374424, A374425.

Sequence in context: A099335 A377349 A356238 * A194930 A346625 A132506

Adjacent sequences: A374418 A374419 A374420 * A374422 A374423 A374424

Keyword

nonn,hard,more

Author

Ilya Gutkovskiy, Jul 08 2024

Status

approved