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A049575 Prime partition numbers. 22
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

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. [From 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

G. L. Honaker, Jr.

EXTENSIONS

More terms from James A. Sellers and Christian G. Bower, Oct 15 1999.

STATUS

approved

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Last modified October 22 10:18 EDT 2014. Contains 248391 sequences.