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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A233461 Numbers n such that n divides 1 + sum_{k=1,n} prime(k)^16. 1
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 20, 24, 27, 30, 32, 34, 39, 40, 45, 48, 51, 55, 57, 60, 64, 68, 80, 85, 90, 96, 100, 102, 120, 128, 136, 160, 168, 170, 180, 186, 192, 204, 205, 216, 230, 238, 240, 255, 272, 285, 320, 340, 360, 384, 408, 480, 510 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(480) > 4*10^10.

LINKS

Robert Price, Table of n, a(n) for n = 1..479

OEIS Wiki, Sums of powers of primes divisibility sequences

EXAMPLE

a(9)=10 because 1 plus the sum of the first 10 primes^16 is 256716898101196243797130 which is divisible by 10.

MATHEMATICA

p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^16; 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: A143513 A062849 A243355 * A010432 A187041 A097752

Adjacent sequences:  A233458 A233459 A233460 * A233462 A233463 A233464

KEYWORD

nonn

AUTHOR

Robert Price, Dec 10 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 April 18 10:38 EDT 2019. Contains 322209 sequences. (Running on oeis4.)