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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.
5
-1, 187, 2492, 56290, 24993485, 2063792939
OFFSET
1,2
EXAMPLE
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.
KEYWORD
sign,hard,more
AUTHOR
Ilya Gutkovskiy, Aug 12 2024
STATUS
approved