A094894 a(n) = prime(Lucas(n)), Lucas numbers beginning at 2 (A000032).

3, 2, 5, 7, 17, 31, 61, 109, 211, 383, 677, 1217, 2137, 3733, 6521, 11279, 19463, 33347, 56963, 97159, 165443, 280549, 474809, 801611, 1351841, 2273989, 3821689, 6412541, 10742339, 17974841, 30045019, 50163697, 83669419, 139420003, 232106309, 386086573, 641716373

Offset: 0

Author

N. J. A. Sloane, Jun 15 2004

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 0..82
• Paul Cooijmans, Odds.

Crossrefs

Cf. A027747, A030427, A000032, A000045, A000040.

Programs

Magma

[NthPrime(Lucas(n)): n in [0..40]]; // Vincenzo Librandi, Jan 14 2016

Mathematica

Table[ Prime[ Fibonacci[n + 1] + Fibonacci[n - 1]], {n, 0, 35}] (* Robert G. Wilson v, Jun 16 2004 *)
Table[Prime[LucasL[n]], {n, 0, 40}] (* Vincenzo Librandi, Jan 14 2016 *)

Formula

a(n) = prime(L(n)) = A000040(A000032(n)) = prime(Fib(n + 1) + Fib(n-1)), where Fib are the Fibonacci numbers(A000045) with Fib(-1) = -1.

Extensions

More terms from Robert G. Wilson v, Jun 16 2004

a(34)-a(36) from Vincenzo Librandi, Jan 14 2016