Search: id:A100891
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%I A100891
%S A100891 2,3,5,7,37,151,3329,23833,13091204281,3093215881333057,
%T A100891 1363005552434666078217421284621279933627102780881053358473,
%U A100891 1558877695141608507751098941899265975115403618621811951868598809164180630185566719
%N A100891 Padovan numbers that are also prime numbers.
%D A100891 Midhat J. Gazale, "Gnomon: From Pharoahs to Fractals", Princeton University 
               Press, 1999
%H A100891 Ian Stewart, <a href="http://www.fortunecity.com/emachines/e11/86/padovan.html">
               Tales of a Neglected Number</a>.
%H A100891 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PadovanSequence.html">Padovan Sequence</a>
%F A100891 a[0]=a[1]=a[2]=1; a[3]=a[4]=2; a[n]=a[n-2]+a[n-3]; a[n] is prime;
%p A100891 { u=v=w=1; x=2; for (k=1, 1000, y = v+w; u = v; v = w; w = x; x = y; 
               if (isprime(y), print(k " " y), ); ) }
%t A100891 a[0] = 1; a[1] = a[2] = 0; a[n_] := a[n] = a[n - 2] + a[n - 3]; a /@ 
               Select[ Range[1000], PrimeQ[ a[ # ]] &] (from Robert G. Wilson v 
               Jan 14 2005)
%Y A100891 Cf. A000931.
%Y A100891 Sequence in context: A048401 A117639 A153014 this_sequence A051857 A050654 
               A110363
%Y A100891 Adjacent sequences: A100888 A100889 A100890 this_sequence A100892 A100893 
               A100894
%K A100891 nonn
%O A100891 1,1
%A A100891 John Lien (jtlien(AT)sbcglobal.net), Jan 10 2005
%E A100891 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 14 2005

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