login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A232966 Numbers n such that n divides 1 + sum_{k=1,n} prime(k)^14. 1
1, 2, 3, 4, 6, 8, 9, 12, 13, 24, 26, 28, 45, 48, 88, 168, 360, 474, 540, 550, 864, 1104, 1230, 1408, 1488, 1816, 2367, 2677, 3507, 5592, 5916, 6612, 11238, 12925, 14124, 23523, 24087, 27356, 41528, 43465, 56951, 74688, 79244, 86682, 181730, 186136, 193704 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(102) > 4.1*10^10.

LINKS

Robert Price, Table of n, a(n) for n = 1..101

OEIS Wiki, Sums of powers of primes divisibility sequences

EXAMPLE

a(7)=9 because 1 plus the sum of the first 9 primes^14 is 12564538647431705217 which is divisible by 9.

MATHEMATICA

p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^14; 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: A308299 A274452 A018731 * A113961 A116621 A036407

Adjacent sequences:  A232963 A232964 A232965 * A232967 A232968 A232969

KEYWORD

nonn

AUTHOR

Robert Price, Dec 02 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 20 19:51 EDT 2019. Contains 326155 sequences. (Running on oeis4.)