A144466 - OEIS

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A144466

Primes p such that the partition number of the p-th prime is also a prime.

2, 3, 37, 257, 1021, 1601 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`{ p in {A000040} : A000041(A000040(p)) in {A000040} }.`
	EXAMPLE	`37 is in the sequence because the 37-th 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[#]]]&] (* From Harvey P. Dale, Nov 01 2011 *)`
	CROSSREFS	`Cf. A038601.` `Sequence in context: A118370 A189027 A061576 * A119448 A041329 A060813` `Adjacent sequences: A144463 A144464 A144465 * A144467 A144468 A144469`
	KEYWORD	`nonn,more`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 09 2008`
	EXTENSIONS	`Edited by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 26 2011`

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Last modified February 14 21:50 EST 2012. Contains 205663 sequences.