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Search: id:A100891
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| A100891 |
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Padovan numbers that are also prime numbers. |
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+0
2
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| 2, 3, 5, 7, 37, 151, 3329, 23833, 13091204281, 3093215881333057, 1363005552434666078217421284621279933627102780881053358473, 15588776951416085077510989418992659751154036186218119518685988091641806301855667\ 19
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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Midhat J. Gazale, "Gnomon: From Pharoahs to Fractals", Princeton University Press, 1999
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LINKS
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Ian Stewart, Tales of a Neglected Number.
Eric Weisstein's World of Mathematics, Padovan Sequence
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FORMULA
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a[0]=a[1]=a[2]=1; a[3]=a[4]=2; a[n]=a[n-2]+a[n-3]; a[n] is prime;
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MAPLE
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{ 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), ); ) }
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MATHEMATICA
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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)
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CROSSREFS
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Cf. A000931.
Adjacent sequences: A100888 A100889 A100890 this_sequence A100892 A100893 A100894
Sequence in context: A048401 A117639 A153014 this_sequence A051857 A050654 A110363
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KEYWORD
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nonn
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AUTHOR
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John Lien (jtlien(AT)sbcglobal.net), Jan 10 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 14 2005
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