Search: id:A038601
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%I A038601
%S A038601 2,3,5,13,157,491,863,1621,2633,5347,8117,13513,35227,62311,76367,84017,
%T A038601 141637,170537,189353,192667,201821,216617,251677,269257,288203,293621,
%U A038601 353807,366103,367621,372023,441703,444167,478571,518657,582371,626333
%N A038601 Prime numbers p such that the number of partitions of p is also a prime.
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha145.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha146.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha147.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha148.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha149.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha150.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha151.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha152.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha153.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha154.htm">Factorizations of many number sequences.</a>
               .
%H A038601 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               part/index.htm">Factorizations of many number sequences.</a>.
%e A038601 5 = (1+1+1+1+1+1,1+1+1+2,1+1+3,1+4,1+2+2,2+3,5) - partition(5) = 7; 5 
               and 7 are primes.
%t A038601 Do[ If[ PrimeQ[n] && PrimeQ[ PartitionsP[n]], Print[n]], {n, 1, 10^5} 
               ]
%Y A038601 Cf. A046063, A000041, A070177.
%Y A038601 Sequence in context: A041047 A120494 A164825 this_sequence A114747 A041639 
               A006985
%Y A038601 Adjacent sequences: A038598 A038599 A038600 this_sequence A038602 A038603 
               A038604
%K A038601 nonn
%O A038601 0,1
%A A038601 Jeff Burch (gburch(AT)erols.com)
%E A038601 More terms from Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A038601 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 29 2001
%E A038601 Terms after 84017 added by Jacques Tramu (echolalie(AT)echolalie.com), 
               Jun 26 2005
%E A038601 Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 31 2006

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