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Numbers n such that a^n + b^n + c^n + ... is a square, where a*b*c* ... is the prime factorization of n.
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%I #5 Dec 15 2017 17:36:50

%S 1,2,16,27,512,3125,65536,531441

%N Numbers n such that a^n + b^n + c^n + ... is a square, where a*b*c* ... is the prime factorization of n.

%C No more terms through 630000. - _Ryan Propper_, May 12 2006

%e 16 is in the sequence because 16 = 2^4 and 2^16 + 2^16 + 2^16 + 2^16 = 262144

%e = 512^2.

%Y Cf. A082872.

%K hard,nonn

%O 1,2

%A _Jason Earls_, Jun 20 2005

%E Two more terms from _Ryan Propper_, May 12 2006