A375332 a(n) is the smallest number which can be represented as the sum of 5 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.

-1, 151, 2465, 54994, 1386406515, 351060139210

Offset: 1

Author

Ilya Gutkovskiy, Aug 12 2024

Keywords

• sign
• hard
• more

Examples

			a(4) = 54994 = 1^4 + 2^4 + 4^4 +  8^4 + 15^4
             = 1^4 + 2^4 + 9^4 + 10^4 + 14^4
             = 2^4 + 5^4 + 6^4 + 11^4 + 14^4
             = 3^4 + 7^4 + 8^4 + 10^4 + 14^4.
		

Crossrefs

Cf. A046881, A342899, A374418, A374421, A374422, A374423, A374424, A374425, A375329, A375330, A375331, A375333, A375334.

Extensions

a(5)-a(6) from Michael S. Branicky, Aug 12 2024