A074304 - OEIS

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A074304

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

3

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

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OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..24.

Ron Knott, The Mathematics of the Fibonacci series.

Ron Knott, Pi and the Fibonacci Numbers.

FORMULA

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

CROSSREFS

Cf. A049685, A074281, A355980.

Sequence in context: A218011 A242255 A006512 * A264865 A293712 A297674

Adjacent sequences: A074301 A074302 A074303 * A074305 A074306 A074307

KEYWORD

nonn,more,changed

AUTHOR

Shane Findley, Sep 21 2002

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

STATUS

approved