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A049575 Partition numbers (A000041) that are primes (A000040). +0
15
2, 3, 5, 7, 11, 101, 17977, 10619863, 6620830889, 80630964769, 228204732751, 1171432692373, 1398341745571, 10963707205259, 15285151248481, 10657331232548839, 790738119649411319, 18987964267331664557 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Partition Function P

FORMULA

a(n) = A000041(A046063(n)) = A00040(A051143(n)) [From M. F. Hasler (MHasler(AT)univ-ag.fr), Oct 19 2008]

A010051(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]

MATHEMATICA

lst={}; Do[a=PartitionsP[n]; If[PrimeQ[a], AppendTo[lst, a]], {n, 2*6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 14 2009]

CROSSREFS

Intersection of A000040 and A000041. Cf. A046063, A051143.

Cf. A038753, A065728. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]

Sequence in context: A062352 A033938 A069598 this_sequence A070028 A084836 A062351

Adjacent sequences: A049572 A049573 A049574 this_sequence A049576 A049577 A049578

KEYWORD

nonn,nice,easy,new

AUTHOR

G. L. Honaker, Jr. (honak3r(AT)gmail.com)

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu) and Christian G. Bower (bowerc(AT)usa.net), Oct 15 1999.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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