|
| |
|
|
A111452
|
|
Numbers n such that n divides the square of the sum of the first n primes.
|
|
0
| |
|
|
1, 23, 25, 53, 297, 853, 10043, 11869, 117267, 222975, 241163, 339615, 3538161, 3600489, 25537223, 38576521, 95316169, 96643287
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| Each number in this sequence is odd. Every element from A045345 also occurs in this sequence.
|
|
|
EXAMPLE
| (prime(1)+prime(2)+..+prime(23))^2 = (2+3+5+...+83)^2 = 23*33212
|
|
|
MATHEMATICA
| s = 0; t = {}; Do[s = s + Prime[n]; If[ Mod[s^2, n] == 0, AppendTo[t, n]], {n, 10^8}]; t (* Robert G. Wilson v *)
|
|
|
CROSSREFS
| Cf. A045345.
Sequence in context: A172015 A112073 A050864 * A147627 A025059 A114963
Adjacent sequences: A111449 A111450 A111451 * A111453 A111454 A111455
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 14 2005
|
|
|
EXTENSIONS
| a(13)-a(18) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 15 2005
|
| |
|
|
