Search: id:A049575
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%I A049575
%S A049575 2,3,5,7,11,101,17977,10619863,6620830889,80630964769,228204732751,
%T A049575 1171432692373,1398341745571,10963707205259,15285151248481,
%U A049575 10657331232548839,790738119649411319,18987964267331664557
%N A049575 Partition numbers (A000041) that are primes (A000040).
%H A049575 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PartitionFunctionPCongruences.html">Link to a section of The World 
               of Mathematics.</a>
%H A049575 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PartitionFunctionP.html">Partition Function P</a>
%F A049575 a(n) = A000041(A046063(n)) = A00040(A051143(n)) [From M. F. Hasler (MHasler(AT)univ-ag.fr), 
               Oct 19 2008]
%F A049575 A010051(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Nov 03 2009]
%t A049575 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]
%Y A049575 Intersection of A000040 and A000041. Cf. A046063, A051143.
%Y A049575 Cf. A038753, A065728. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Nov 03 2009]
%Y A049575 Sequence in context: A062352 A033938 A069598 this_sequence A070028 A084836 
               A062351
%Y A049575 Adjacent sequences: A049572 A049573 A049574 this_sequence A049576 A049577 
               A049578
%K A049575 nonn,nice,easy
%O A049575 1,1
%A A049575 G. L. Honaker, Jr. (honak3r(AT)gmail.com)
%E A049575 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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