A134696 Numbers k such that k*Lucas(k) + 1 is prime.

1, 2, 3, 4, 6, 10, 42, 48, 56, 66, 70, 86, 108, 126, 134, 214, 248, 459, 1479, 1722, 3076, 5064, 5102, 7602, 9454, 11361, 11494, 12450, 16474, 20139, 32164, 41013, 42456, 56307, 79828, 108506, 136587

Offset

1,2

Comments

a(38) > 2*10^5. - Michael S. Branicky, Jan 03 2025

Links

Table of n, a(n) for n=1..37.

Example

If k =1 then k*Lucas(k) + 1 = 2 (prime).
If k = 66 then k*Lucas(k) + 1 = 4099474525767589 (prime).

Mathematica

Select[Range[9000], PrimeQ[# LucasL[#]+1]&] (* Harvey P. Dale, Nov 10 2011 *)

Crossrefs

Cf. A134313, A134580, A000032.

Sequence in context: A355191 A093912 A181054 * A151677 A304872 A255921

Adjacent sequences: A134693 A134694 A134695 * A134697 A134698 A134699

Keyword

nonn,more,changed

Author

Parthasarathy Nambi, Jan 27 2008

Extensions

a(21)-a(24) from Harvey P. Dale, Nov 10 2011

a(25)-a(37) from Michael S. Branicky, Jan 02 2025

Status

approved