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%I #22 Dec 22 2021 14:21:32
%S 2,410,8627527,199898912404
%N a(n) is the smallest number which can be represented as the sum of n distinct n-th powers of primes in exactly n ways.
%e For n = 2: 410 = 7^2 + 19^2 = 11^2 + 17^2.
%e For n = 3: 8627527 = 19^3 + 151^3 + 173^3 = 23^3 + 139^3 + 181^3 = 71^3 + 73^3 + 199^3.
%e From _Michael S. Branicky_, Dec 21 2021: (Start)
%e For n = 4: 199898912404 = 23^4 + 281^4 + 397^4 + 641^4,
%e = 137^4 + 383^4 + 467^4 + 601^4,
%e = 151^4 + 227^4 + 557^4 + 563^4,
%e = 257^4 + 317^4 + 347^4 + 643^4. (End)
%Y Cf. A146756.
%K nonn,hard,bref,more
%O 1,1
%A _Ilya Gutkovskiy_, Dec 20 2021
%E a(4) from _Michael S. Branicky_, Dec 21 2021
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