A061442 Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.

25, 35, 45, 55, 65, 75, 85, 95, 105, 125, 145, 165, 185, 275, 335, 355, 535, 655, 735, 805, 925, 955, 1095, 1195, 1215, 1275, 1305, 1325, 1435, 1575, 1655, 1765, 2015, 2205, 2715, 2745, 2885, 3905, 3935, 4275, 5705, 5995, 7755, 8565, 11695, 11785, 11825, 11925

Offset: 1

Author

David Broadhurst, Jun 10 2001

Keywords

• nonn

Comments

The Aurifeullian primitive part A of Lucas(k) only exists when k is a multiple of 5, hence all terms of this sequence are multiples of 5. - Sean A. Irvine, Feb 15 2023

Links

• David Broadhurst, Table of n, a(n) for n=1..83 yielding primes or probable primes
• J. Brillhart, P. L. Montgomery and R. D. Silverman, Tables of Fibonacci and Lucas factorizations, Math. Comp. 50 (1988), 251-260, S1-S15. Math. Rev. 89h:11002.
• C. K. Caldwell, Lucas Aurifeuillian primitive part

Crossrefs

Cf. A061446, A061447, A061254, A061445, A061443.

Extensions

Edited by Arkadiusz Wesolowski, Dec 29 2012