A074304 Numbers k such that Lucas(2k)/3 is prime.

5, 7, 13, 19, 31, 43, 89, 101, 229, 293, 457, 541, 653, 659, 1553, 2003, 2707, 2749, 7159, 10289, 26267, 59581, 63421, 80911

Offset: 1

Author

Shane Findley, Sep 21 2002

Keywords

• nonn
• more

Comments

Some of the larger entries may only correspond to probable primes.

Links

• Ron Knott, The Mathematics of the Fibonacci series.
• Ron Knott, Pi and the Fibonacci Numbers.

Crossrefs

Cf. A049685, A074281, A355980.

Formula

a(n) = 2*A355980(n) + 1. - Jinyuan Wang, Jul 22 2022

Extensions

More terms found by David Broadhurst, Bouk de Water, and Shane Findley, Oct 31 2002

a(22)-a(24) from Michael S. Branicky, Nov 05 2024