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 A049575 Prime partition numbers. 24
 2, 3, 5, 7, 11, 101, 17977, 10619863, 6620830889, 80630964769, 228204732751, 1171432692373, 1398341745571, 10963707205259, 15285151248481, 10657331232548839, 790738119649411319, 18987964267331664557, 74878248419470886233, 1394313503224447816939 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..100 G. K. Patil, Ramanujan's Life And His Contributions In The Field Of Mathematics, International Journal of Scientific Research and Engineering Studies (IJSRES), 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. FORMULA a(n) = A000041(A046063(n)) = A000040(A051143(n)). - M. F. Hasler, Oct 19 2008 A010051(a(n))*A167392(a(n)) = 1. - Reinhard Zumkeller, Nov 03 2009 MATHEMATICA lst={}; Do[a=PartitionsP[n]; If[PrimeQ[a], AppendTo[lst, a]], {n, 2*6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 14 2009 *) Select[PartitionsP[Range[1000]], PrimeQ] (* Harvey P. Dale, Mar 11 2013 *) PROG (PARI) for(n=0, 10^3, my(p=numbpart(n)); if(isprime(p), print1(p, ", "))); \\ Joerg Arndt, May 09 2013 CROSSREFS Intersection of A000040 and A000041. Cf. A046063, A051143. Cf. A038753, A065728. - Reinhard Zumkeller, Nov 03 2009 Sequence in context: A062352 A033938 A069598 * A070028 A084836 A062351 Adjacent sequences:  A049572 A049573 A049574 * A049576 A049577 A049578 KEYWORD nonn,nice AUTHOR EXTENSIONS More terms from James A. Sellers and Christian G. Bower, Oct 15 1999. STATUS approved

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Last modified April 15 10:27 EDT 2021. Contains 342977 sequences. (Running on oeis4.)