A290246 Prime numbers that are common indices to both prime Lucas and prime Wagstaff numbers.

5, 7, 11, 13, 17, 19, 31, 61, 79, 313, 10691

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