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A232964 Numbers n such that n divides 1 + sum_{k=1,n} prime(k)^9. 0
1, 2, 4, 6, 10, 12, 14, 82, 93, 476, 712, 856, 935, 11104, 11706, 12234, 19500, 21490, 31864, 171252, 628863, 10189718, 12363588, 13976077, 22321041, 36642393, 47563206, 102352700, 869166585, 1197804361, 1400403575, 2199080290, 5225532140, 39957170689 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(35) > 4*10^10.

LINKS

Table of n, a(n) for n=1..34.

OEIS Wiki, Sums of powers of primes divisibility sequences

EXAMPLE

a(5)=10 because 1 plus the sum of the first 10 primes^9 is 16762578985600 which is divisible by 10.

MATHEMATICA

p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^9; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p] (* derived from A128169 *)

CROSSREFS

Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.

Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.

Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

Sequence in context: A024892 A087136 A015921 * A132631 A248614 A105965

Adjacent sequences:  A232961 A232962 A232963 * A232965 A232966 A232967

KEYWORD

nonn

AUTHOR

Robert Price, Dec 02 2013

STATUS

approved

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Last modified July 21 22:02 EDT 2019. Contains 325210 sequences. (Running on oeis4.)