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A374270 a(n) is the smallest number which can be represented as the sum of n distinct n-th powers of primes in exactly 2 ways, or -1 if no such number exists.

%I A374270 #9 Jul 09 2024 16:09:23
%S A374270 -1,410,185527,6539044,2250298051,1397942436813,56190747296833091
%N A374270 a(n) is the smallest number which can be represented as the sum of n distinct n-th powers of primes in exactly 2 ways, or -1 if no such number exists.
%e A374270 a(2) = 410 = 7^2 + 19^2 = 11^2 + 17^2.
%e A374270 a(3) = 185527 = 13^3 + 43^3 + 47^3 = 19^3 + 31^3 + 53^3.
%Y A374270 Cf. A349764, A374256, A374271, A374272.
%K A374270 sign,more
%O A374270 1,2
%A A374270 _Ilya Gutkovskiy_, Jul 02 2024
%E A374270 a(7) from _Michael S. Branicky_, Jul 09 2024