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A129745 Numbers k such that Lucas(4k)/7 is prime. 0
5, 17, 19, 41, 43, 71, 1511, 2339, 3469, 4787, 7211, 9781 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

L(m) = Lucas(m) = Fibonacci(m-1) + Fibonacci(m+1). 7 = L(4) divides L(4*(1+2m)) since L(4m) = L(4)*L(4*(m-1)) - L(4*(m-2)).

Integer k is in this sequence iff k is prime and 4k belongs to A085726. - Max Alekseyev, May 16 2010

LINKS

Table of n, a(n) for n=1..12.

MATHEMATICA

a=7; b=47; Do[ c=7b-a; a=b; b=c; If[ PrimeQ[c/7], Print[n] ], {n, 3, 100}]

CROSSREFS

Cf. A000032, A001606 (indices of prime Lucas numbers).

Cf. A074304 (numbers k such that Lucas(2k)/3 is prime).

Sequence in context: A019349 A226627 A124873 * A304129 A038964 A019401

Adjacent sequences: A129742 A129743 A129744 * A129746 A129747 A129748

KEYWORD

less,more,nonn

AUTHOR

Alexander Adamchuk, May 14 2007, May 16 2007

EXTENSIONS

a(7) - a(10) from Stefan Steinerberger, May 17 2007

a(11) from Max Alekseyev, Nov 25 2007

a(12) from Alexander Adamchuk, May 15 2010

STATUS

approved

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Last modified February 2 12:13 EST 2023. Contains 360011 sequences. (Running on oeis4.)