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A144466 Primes p such that the partition number of the p-th prime is also a prime. 0
2, 3, 37, 257, 1021, 1601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..6.

FORMULA

{ p in {A000040} : A000041(A000040(p)) in {A000040} }.

EXAMPLE

37 is in the sequence because the 37th prime is 157, the partition number of 157 is 80630964769 and 80630964769 is a prime.

MATHEMATICA

Flatten[Table[If[PrimeQ[PartitionsP[Prime[Prime[n]]]], Prime[n], {}], {n, 1, 2000}]]

Select[Prime[Range[260]], PrimeQ[PartitionsP[Prime[#]]]&] (* Harvey P. Dale, Nov 01 2011 *)

CROSSREFS

Cf. A038601.

Sequence in context: A189027 A061576 A221055 * A245061 A270587 A119448

Adjacent sequences:  A144463 A144464 A144465 * A144467 A144468 A144469

KEYWORD

nonn,more

AUTHOR

Roger L. Bagula, Oct 09 2008

EXTENSIONS

Edited by Alois P. Heinz, Oct 26 2011

STATUS

approved

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Last modified September 17 19:16 EDT 2019. Contains 327137 sequences. (Running on oeis4.)