A100891 Prime Padovan numbers.

2, 3, 5, 7, 37, 151, 3329, 23833, 13091204281, 3093215881333057, 1363005552434666078217421284621279933627102780881053358473, 1558877695141608507751098941899265975115403618621811951868598809164180630185566719

Offset: 1

Author

John Lien, Jan 10 2005

Keywords

• nonn

Comments

Next term corresponds to Padovan(1262) and has 154 decimal digits.

References

• Midhat J. Gazale, "Gnomon: From Pharaohs to Fractals", Princeton University Press, 1999.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..20
• Ian Stewart, Tales of a Neglected Number.
• Eric Weisstein's World of Mathematics, Padovan Sequence

Crossrefs

Cf. A000931, A122498, A291216, A291673.

Indices of prime Padovan numbers are A112882.

Programs

Mathematica

Rest[Select[LinearRecurrence[{0,1,1},{1,1,2},1000],PrimeQ]] (* Harvey P. Dale, Mar 31 2012 *)

Extensions

More terms from Robert G. Wilson v, Jan 14 2005