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A290246 Prime numbers that are common indices to both prime Lucas and prime Wagstaff numbers. 0
5, 7, 11, 13, 17, 19, 31, 61, 79, 313, 10691 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime numbers p such that Lucas(p) and (2^p + 1)/3 are both primes.

Intersection of A000978 and A001606.

LINKS

Table of n, a(n) for n=1..11.

MATHEMATICA

seq = {}; wagstaff[n_] := (2^n + 1)/3; Do[p = Prime[n]; If[PrimeQ[LucasL[p]] && PrimeQ[wagstaff[p]], AppendTo[seq, p]], {n, 1, 1304}]; seq

CROSSREFS

Cf. A000978, A001606, A080327.

Sequence in context: A314296 A141639 A232558 * A024891 A277907 A136144

Adjacent sequences:  A290243 A290244 A290245 * A290247 A290248 A290249

KEYWORD

hard,nonn,more

AUTHOR

Amiram Eldar, Jul 24 2017

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)