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A113499

Numbers n such that P(11*n) is prime where P(n) is the partition number.

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

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OFFSET

1,1

COMMENTS

n belongs to this sequence if and only if 11*n belongs to A046063.

LINKS

Max Alekseyev, Table of n, a(n) for n = 1..467

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 *)

Do[ If[ PrimeQ@ PartitionsP[11n], Print@n], {n, 3000}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A111036, A111045, A111389.

Sequence in context: A316088 A198306 A218554 * A335579 A178681 A194264

Adjacent sequences: A113496 A113497 A113498 * A113500 A113501 A113502

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi, Jan 10 2006

EXTENSIONS

More terms from Stefan Steinerberger and Robert G. Wilson v, Jan 12 2006

Terms a(28) onward from Max Alekseyev, Dec 18 2011

STATUS

approved