

A122140


Numbers n such that n divides sum of cubes of the first n primes A098999(n).


5




OFFSET

1,2


COMMENTS

a(9) > 6*10^9.  Donovan Johnson, Oct 15 2012
a(11) > 10^11.  Robert Price, Mar 29 2013


LINKS

Table of n, a(n) for n=1..10.
OEIS Wiki, Sums of powers of primes divisibility sequences.


EXAMPLE

a(2) = 25 because 25 is the first number n>1 that divides sum of cubes of the first n primes. Mod[ A098999[25], 25] = Mod[ 2^3 + 3^3 + 5^3 + ... + 89^3 + 97^3, 25 ] = 0.


MATHEMATICA

s = 0; t = {}; Do[s = s + Prime[n]^3; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t


CROSSREFS

Sequence in context: A282689 A282874 A144942 * A083191 A226299 A264378
Adjacent sequences: A122137 A122138 A122139 * A122141 A122142 A122143


KEYWORD

nonn


AUTHOR

Alexander Adamchuk, Aug 21 2006


EXTENSIONS

a(8) from Donovan Johnson, Oct 15 2012
a(9)a(10) from Robert Price, Mar 29 2013


STATUS

approved



