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A234900 Primes p with P(p+1) also prime, where P(.) is the partition function (A000041). 1
2, 3, 5, 131, 167, 211, 439, 2731, 3167, 3541, 4261, 7457, 8447, 18289, 22669, 23201, 23557, 35401, 44507, 76781, 88721, 108131, 126097, 127079, 136319, 141359, 144139, 159169, 164089, 177487, 202627, 261757, 271181, 282911, 291971, 307067, 320561, 389219, 481589, 482627, 602867, 624259, 662107, 682361, 818887, 907657, 914189, 964267, 1040191, 1061689 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It seems that this sequence contains infinitely many terms.
See also A234569 for a similar sequence.
LINKS
EXAMPLE
a(1) = 2 since P(2+1) = 3 is prime.
a(2) = 3 since P(3+1) = 5 is prime.
a(3) = 5 since P(5+1) = 11 is prime.
MATHEMATICA
p[k_]:=p[k]=PrimeQ[PartitionsP[Prime[k]+1]]
n=0; Do[If[p[k], n=n+1; Print[n, " ", Prime[k]]], {k, 1, 10000}]
CROSSREFS
Sequence in context: A067799 A321362 A230372 * A117702 A041343 A229349
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Jan 01 2014
STATUS
approved

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Last modified May 24 03:43 EDT 2024. Contains 372771 sequences. (Running on oeis4.)