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

%I #4 Jul 01 2024 19:14:31

%S 17,423,435888,199898912404

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

%e a(2) = 423 = 2^2 + 3^2 + 7^2 + 19^2 = 2^2 + 3^2 + 11^2 + 17^2.

%Y Cf. A349764, A374228, A374229.

%K nonn,hard,more

%O 1,1

%A _Ilya Gutkovskiy_, Jul 01 2024