A113518 - OEIS

%I #15 Aug 11 2019 05:19:39

%S 1,42,122,224,1665,1861,2504,2530,4750,4765,7831,9589,9932,12141,

%T 15574,15749,22629,23492,24350,25819,29837,29940,31106,43589,44496,

%U 47526,47751,48020,49216,49304,49637,58051,62381,64112,66710,67047,69244,73954,76985,77664,82824,91694,92749,99625

%N Numbers n such that P(13*n) is prime, where P(n) is the unrestricted partition number.

%C Integer n belongs to this sequence if and only if 13*n belongs to A046063.

%H Max Alekseyev, <a href="/A113518/b113518.txt">Table of n, a(n) for n = 1..379</a>

%e If n=224 then P(13*n) is a prime with 56 digits.

%t Select[ Range@27272, PrimeQ@ PartitionsP[13# ] &] (* _Robert G. Wilson v_, Jan 17 2006; corrected by _Harvey P. Dale_, Aug 06 2019 *)

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

%K nonn

%O 1,2

%A _Parthasarathy Nambi_, Jan 12 2006

%E a(5)-a(20) from _Robert G. Wilson v_, Jan 17 2006

%E Terms a(21) onward from _Max Alekseyev_, Dec 18 2011