A264764 a(n) = smallest positive k such that k^n is the sum of n-1 positive n-th powers, or 0 if no solution exists.

1, 0, 422481, 144

Offset: 2

Author

Arkadiusz Wesolowski, Nov 23 2015

Keywords

• nonn
• hard
• more

Comments

a(3) = 0 (as is the case under Fermat's last theorem).

Is the number of zero terms finite?

Examples

			1^2 = 1^2.
414560^4 + 217519^4 + 95800^4 = 422481^4.
27^5 + 84^5 + 110^5 + 133^5 = 144^5.
		

Links

• Wikipedia, Fermat's Last Theorem
• Wikipedia, Lander, Parkin, and Selfridge conjecture

Crossrefs

Cf. A003828.