login
Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n.
3

%I #9 Aug 11 2019 05:31:44

%S 3,11,14,18,108,178,209,214,264,704,1085,1354,1523,2550,2770,2831,

%T 3709,6055,8241,9011,10590,11360,11780,15358,18305,23576,23628,24331,

%U 25589,25620,32435,40219,41373,48204,50239,53174,55984,57521,78831,84136

%N Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n.

%C n belongs to this sequence if and only if 12n belongs to A046063.

%H Max Alekseyev, <a href="/A115214/b115214.txt">Table of n, a(n) for n = 1..410</a>

%t Select[ Range@34000, PrimeQ@ PartitionsP[12# ] &]

%Y Cf. A000041, A049575, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170, A113499, A115214.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Nov 14 2005

%E More terms from _Max Alekseyev_, Dec 18 2011