A112882 -id:A112882 - cp's OEIS frontend

A100891 Prime Padovan numbers.

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

Offset: 1

John Lien, Jan 10 2005

nonn

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

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

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

Cf. A000931, A122498, A291216, A291673.

Indices of prime Padovan numbers are A112882.

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

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

A152870 Indices of primes in the Padovan sequence A000931.

Original entry on oeis.org

8, 9, 10, 12, 13, 19, 24, 35, 42, 89, 133, 474, 671, 1267, 1578, 2008, 2215, 2294, 4168, 5558, 6572, 8566, 11235, 18742, 35839, 44264, 536490, 727739

Offset: 1

Roger L. Bagula, Dec 14 2008

Cf. A000931, A001605, A100891, A112882.

a[0] = 1; a[1] = 0; a[2] = 0;
a[n_] := a[n] = a[n - 2] + a[n - 3];
Flatten[Table[If[PrimeQ[a[n]], n, {}], {n, 0, 10000}]]

v=[1,1,1];for(n=8,1e4,v=[v[2],v[3],v[1]+v[2]];if(ispseudoprime(v[3]),print1(n", "))) \\ Charles R Greathouse IV, Nov 07 2011

a(n) = A112882(n) + 5. - Amiram Eldar, Nov 10 2024

a(23)-a(26) from Charles R Greathouse IV, Nov 07 2011

a(27)-a(28) calculated from the data at A112882 by Amiram Eldar, Nov 10 2024

cp's OEIS Frontend

A100891 Prime Padovan numbers.

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