%I #8 Aug 11 2019 05:27:43
%S 1,88,105,147,165,217,1481,2216,2579,2604,3008,3658,3694,4329,4353,
%T 4447,4534,5074,5793,6120,6578,6648,7861,7994,8276,8851,9421,10371,
%U 12350,12359,12389,13010,13345,13479,14532,14727,16461,19313,19466,20354
%N Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.
%H Max Alekseyev, <a href="/A114166/b114166.txt">Table of n, a(n) for n = 1..1252</a>
%t Select[ Range[20780], PrimeQ[PartitionsP[5# ]] &]
%o (PARI) is(n)=isprime(numbpart(5*n)) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.
%K nonn
%O 1,2
%A _Robert G. Wilson v_, Nov 14 2005