A375333 a(n) is the smallest number which can be represented as the sum of 6 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
-1, 187, 2492, 56290, 24993485, 2063792939
Offset: 1
Examples
a(6) = 2063792939 = 1^6 + 4^6 + 16^6 + 21^6 + 31^6 + 32^6
= 4^6 + 7^6 + 20^6 + 22^6 + 29^6 + 33^6
= 5^6 + 7^6 + 16^6 + 25^6 + 30^6 + 32^6
= 5^6 + 8^6 + 14^6 + 27^6 + 29^6 + 32^6.