A225791 Numbers n such that the sum of first n prime powers (A025475) is divisible by n.

1, 9, 54, 85, 853, 1162, 4209, 11566, 20060, 68048, 76221, 441294, 3007789, 4521955, 39443840, 39755851

Offset: 1

Author

Alex Ratushnyak, May 16 2013

Keywords

• nonn
• more

Comments

a(17) > 146306913. There are 146306913 prime powers <= 2^63. - Donovan Johnson, May 16 2013

Examples

			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.
		

Crossrefs

Cf. A025475, A225792.

Extensions

a(13)-a(16) from Donovan Johnson, May 16 2013