A374271 a(n) is the smallest number which can be represented as the sum of n distinct n-th powers of primes in exactly 3 ways, or -1 if no such number exists.

-1, 2210, 8627527, 616151524, 876639080351

Offset

1,2

Links

Table of n, a(n) for n=1..5.

Example

a(2) = 2210 = 19^2 + 43^2 = 23^2 + 41^2 = 29^2 + 37^2.
a(3) = 8627527 = 19^3 + 151^3 + 173^3 = 23^3 + 139^3 + 181^3 = 71^3 + 73^3 + 199^3.

Crossrefs

Cf. A349764, A374229, A374257, A374270, A374272.

Sequence in context: A226562 A300166 A031772 * A305880 A031545 A191679

Adjacent sequences: A374268 A374269 A374270 * A374272 A374273 A374274

Keyword

sign,more

Author

Ilya Gutkovskiy, Jul 02 2024

Status

approved