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Numbers n such that the sum of first n prime powers (A025475) is divisible by n.
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%I #8 May 16 2013 14:51:01

%S 1,9,54,85,853,1162,4209,11566,20060,68048,76221,441294,3007789,

%T 4521955,39443840,39755851

%N Numbers n such that the sum of first n prime powers (A025475) is divisible by n.

%C a(17) > 146306913. There are 146306913 prime powers <= 2^63. - _Donovan Johnson_, May 16 2013

%e The sum of first 9 prime powers is 1 + 4 + 8 + 9 + 16 + 25 + 27 + 32 + 49 = 171. Because 171 is divisible by 9, the latter is in the sequence.

%Y Cf. A025475, A225792.

%K nonn,more

%O 1,2

%A _Alex Ratushnyak_, May 16 2013

%E a(13)-a(16) from _Donovan Johnson_, May 16 2013