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Numbers k such that the Lucas Aurifeuillian primitive part B of Lucas(k) is prime.
7

%I #21 Feb 15 2023 21:48:04

%S 5,15,25,35,45,75,85,105,145,155,165,185,225,255,305,315,325,335,355,

%T 365,375,475,485,525,565,575,635,695,715,765,885,1235,1325,1375,1515,

%U 2255,2285,3085,3185,3355,3565,3745,3885,4325,4995,5525,5915,6195,6565,6975,6995,7785,8855

%N Numbers k such that the Lucas Aurifeuillian primitive part B of Lucas(k) is prime.

%H David Broadhurst, <a href="/A061443/b061443.txt">Table of n, a(n) for n=1..93 yielding primes or probable primes</a>

%H J. Brillhart, P. L. Montgomery and R. D. Silverman, <a href="https://doi.org/10.1090/S0025-5718-1988-0917832-6">Tables of Fibonacci and Lucas factorizations</a>, Math. Comp. 50 (1988), 251-260, S1-S15. Math. Rev. 89h:11002.

%H C. K. Caldwell, <a href="https://primes.utm.edu/top20/page.php?id=21">Lucas Aurifeuillian primitive part</a>

%Y Cf. A061446, A061447, A061254, A061445, A061442.

%K nonn

%O 1,1

%A _David Broadhurst_, Jun 10 2001

%E Corrected by _T. D. Noe_, Dec 17 2006

%E Edited by _Arkadiusz Wesolowski_, Dec 29 2012