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Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.
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%I #8 Aug 11 2019 05:30:06

%S 4,24,144,277,278,303,319,352,518,2279,2405,2578,3400,3787,4273,4457,

%T 7603,9145,9858,10774,10988,11545,12954,14120,14674,17537,18193,18602,

%U 18919,21955,29775,30559,31504,34160,35618,35655

%N Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.

%H Max Alekseyev, <a href="/A114169/b114169.txt">Table of n, a(n) for n = 1..555</a>

%t Select[ Range[22222], PrimeQ[PartitionsP[9# ]] &]

%o (PARI) is(n)=isprime(numbpart(9*n)) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Nov 14 2005