|
|
A113499
|
|
Numbers n such that P(11*n) is prime where P(n) is the partition number.
|
|
4
|
|
|
7, 12, 40, 75, 163, 228, 261, 288, 322, 331, 618, 678, 768, 926, 2990, 3821, 4852, 5726, 10802, 11710, 12006, 12635, 14470, 18097, 22156, 25776, 29142, 32692, 36965, 48830, 51821, 56433, 58008, 63757, 64433, 67545, 68391, 69850, 73723, 77498, 77770
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
n belongs to this sequence if and only if 11*n belongs to A046063.
|
|
LINKS
|
|
|
EXAMPLE
|
If n=163 then P(11*n) = 11820527237297139926370474832027317722017807 (prime).
|
|
MATHEMATICA
|
For[n = 1, n < 1000, n++, If[PrimeQ[PartitionsP[11*n]], If[ProvablePrimeQ[PartitionsP[11*n]], Print[n]]]] (* Stefan Steinerberger *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|