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 A111389 Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n. 14
 1, 2, 12, 44, 56, 62, 72, 122, 139, 166, 175, 182, 245, 251, 275, 362, 432, 526, 712, 831, 834, 836, 856, 909, 957, 1009, 1056, 1114, 1554, 2266, 2486, 2816, 3967, 4340, 5416, 6092, 6837, 6959, 7215, 7255, 7439, 7734, 9655, 10200, 11080, 11324, 11361, 12819 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Max Alekseyev, Table of n, a(n) for n = 1..1669 FORMULA Elements of A046063 which are == 0 (mod 3) divided by 3 EXAMPLE If n=72 then p(3n) = 15285151248481 (prime). MATHEMATICA Select[ Range[13370], PrimeQ[ PartitionsP[3# ]] &] (* Robert G. Wilson v *) PROG (PARI) is(n)=isprime(numbpart(3*n)) \\ Charles R Greathouse IV, Feb 17 2017 CROSSREFS Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170. Sequence in context: A301556 A055681 A296682 * A203278 A013704 A025495 Adjacent sequences:  A111386 A111387 A111388 * A111390 A111391 A111392 KEYWORD nonn AUTHOR Parthasarathy Nambi, Nov 09 2005 EXTENSIONS a(8)-a(48) from Robert G. Wilson v, Nov 11 2005 STATUS approved

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Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)