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A225791 Numbers n such that the sum of first n prime powers (A025475) is divisible by n. 1
1, 9, 54, 85, 853, 1162, 4209, 11566, 20060, 68048, 76221, 441294, 3007789, 4521955, 39443840, 39755851 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

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.

Sequence in context: A209453 A259316 A224484 * A093846 A152994 A034719

Adjacent sequences:  A225788 A225789 A225790 * A225792 A225793 A225794

KEYWORD

nonn,more

AUTHOR

Alex Ratushnyak, May 16 2013

EXTENSIONS

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

STATUS

approved

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Last modified August 17 23:13 EDT 2022. Contains 356204 sequences. (Running on oeis4.)