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A049575
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Prime partition numbers.
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14
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2, 3, 5, 7, 11, 101, 17977, 10619863, 6620830889, 80630964769, 228204732751, 1171432692373, 1398341745571, 10963707205259, 15285151248481, 10657331232548839, 790738119649411319, 18987964267331664557
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Eric Weisstein's World of Mathematics, Partition Function P Congruences
Eric Weisstein's World of Mathematics, Partition Function P
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FORMULA
| a(n) = A000041(A046063(n)) = A000040(A051143(n)) [From M. F. Hasler (www.univ-ag.fr/~mhasler), Oct 19 2008]
A010051(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]
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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]
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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 * A070028 A084836 A062351
Adjacent sequences: A049572 A049573 A049574 * A049576 A049577 A049578
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KEYWORD
| nonn,nice
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AUTHOR
| G. L. Honaker, Jr. (honak3r(AT)gmail.com)
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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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