A285992 Primes in the bisected Lucas sequence A002878.

11, 29, 199, 521, 3571, 9349, 3010349, 54018521, 370248451, 6643838879, 119218851371, 5600748293801, 688846502588399, 32361122672259149, 412670427844921037470771, 258899611203303418721656157249445530046830073044201152332257717521

Offset: 1

Author

R. J. Mathar, Apr 30 2017

Keywords

• nonn

Comments

Subsequence of A005479.

Crossrefs

Cf. A001606, A002878, A005479, A121534, A180363, A269254, A294099 (row 3).

Programs

Maple

select(isprime, [seq(combinat:-fibonacci(2*n)+combinat:-fibonacci(2*n+2), n=1..200)]); # Robert Israel, May 01 2017

Mathematica

Select[LucasL[Range[1, 400, 2]], PrimeQ] (* Vincenzo Librandi, May 01 2017 *)
Select[LinearRecurrence[{3,-1},{1,4},160],PrimeQ] (* Harvey P. Dale, Sep 01 2024 *)

Formula

A002878 INTERSECT A000040.

A000032(k) for odd k in A001606. - Robert Israel, May 01 2017