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A288794 Numbers k such that Lucas(k) + prime(k) is a prime. 1
1, 6, 12, 18, 54, 75, 354, 10158, 23280, 33726, 38226, 70749, 244779, 308604 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(15) > 500000.

LINKS

Table of n, a(n) for n=1..14.

EXAMPLE

a(1) = 1 because Lucas(1)=1, prime(1)=2 and 1+2=3 is a prime.

a(2) = 6 because Lucas(6)=18, prime(6)=13 and 18+13=31 is a prime.

MATHEMATICA

Select[Range[1000], PrimeQ[LucasL[#] + Prime[#]] &]

PROG

(MAGMA) [n: n in [1..950] | IsPrime(Lucas(n)+NthPrime(n))];

CROSSREFS

Cf. A000032, A000040, A050180.

Sequence in context: A067143 A206038 A205859 * A177708 A344177 A100357

Adjacent sequences:  A288791 A288792 A288793 * A288795 A288796 A288797

KEYWORD

nonn,more

AUTHOR

Vincenzo Librandi, Jun 16 2017

EXTENSIONS

a(8)-a(12) from Robert Price, Oct 26 2017

a(13)-a(14) from Robert Price, Dec 16 2017

STATUS

approved

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Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)