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a(n) is the smallest number which can be represented as the sum of three distinct n-th powers of primes in exactly n ways, or -1 if no such number exists.
2

%I #5 Jul 01 2024 19:14:06

%S 10,414,8627527

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

%e a(2) = 414 = 2^2 + 7^2 + 19^2 = 2^2 + 11^2 + 17^2.

%Y Cf. A125689, A349764, A374227, A374230.

%K nonn,hard,more

%O 1,1

%A _Ilya Gutkovskiy_, Jul 01 2024