The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A046063 Numbers k such that the k-th partition number A000041(k) is prime. 50
 2, 3, 4, 5, 6, 13, 36, 77, 132, 157, 168, 186, 188, 212, 216, 302, 366, 417, 440, 491, 498, 525, 546, 658, 735, 753, 825, 841, 863, 1085, 1086, 1296, 1477, 1578, 1586, 1621, 1793, 2051, 2136, 2493, 2502, 2508, 2568, 2633, 2727, 2732, 2871, 2912, 3027, 3098, 3168, 3342, 3542, 3641, 4118 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The corresponding primes are given in A049575. - Joerg Arndt, May 09 2013 LINKS Max Alekseyev, Table of n, a(n) for n = 1..4967 (contains all terms below 10^8) Chris K. Caldwell, Top twenty prime partition numbers, The Prime Pages. G. P. Michon, Table of partition function p(n) (n=0 through 4096) G. K. Patil, Ramanujan's Life And His Contributions In The Field Of Mathematics, International Journal of Scientific Research and Engineering Studies (IJSRES), Volume 1(6) (2014), ISSN: 2349-8862. Eric Weisstein's World of Mathematics, Partition Function P Congruences. Eric Weisstein's World of Mathematics, Partition Function P. Eric Weisstein's World of Mathematics, Integer Sequence Primes. MATHEMATICA Select[ Range@3341, PrimeQ@ PartitionsP@# &] (* Robert G. Wilson v *) PROG (PARI) for(n=0, 10^5, my(p=numbpart(n)); if(isprime(p), print1(n, ", "))); \\ Joerg Arndt, May 09 2013 (Python) from sympy import isprime, npartitions print([n for n in range(1, 5001) if isprime(npartitions(n))]) # Indranil Ghosh, Apr 10 2017 CROSSREFS Cf. A000041, A035359, A049575, A051143, A111036, A111045, A114165, A111389, A113499, A114166, A114167, A114168, A114169, A114170, A115214. Sequence in context: A200331 A010349 A032995 * A065638 A204896 A334733 Adjacent sequences: A046060 A046061 A046062 * A046064 A046065 A046066 KEYWORD nonn,nice AUTHOR EXTENSIONS b-file extended by Max Alekseyev, Jul 07 2009, Jun 14 2011, Jan 08 2012, May 19 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 29 10:55 EST 2023. Contains 359922 sequences. (Running on oeis4.)