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Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.
8

%I #19 Apr 03 2023 10:36:10

%S 25,35,45,55,65,75,85,95,105,125,145,165,185,275,335,355,535,655,735,

%T 805,925,955,1095,1195,1215,1275,1305,1325,1435,1575,1655,1765,2015,

%U 2205,2715,2745,2885,3905,3935,4275,5705,5995,7755,8565,11695,11785,11825,11925

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

%C 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

%H David Broadhurst, <a href="/A061442/b061442.txt">Table of n, a(n) for n=1..83 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://t5k.org/top20/page.php?id=21">Lucas Aurifeuillian primitive part</a>

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

%K nonn

%O 1,1

%A _David Broadhurst_, Jun 10 2001

%E Edited by _Arkadiusz Wesolowski_, Dec 29 2012