A107021 Primes p such that 2p+1, 4p+3, 6p+5, 8p+7 are all primes.

2, 6449, 12119, 19709, 30389, 74699, 107699, 133499, 143609, 167759, 175349, 206369, 210209, 229739, 244589, 254279, 334289, 422069, 528509, 541529, 607319, 641969, 658349, 751529, 810539, 810809, 812849, 926669, 934259, 956909, 968729

Offset

1,1

Links

Donovan Johnson, Table of n, a(n) for n = 1..1000

Mathematica

fQ[n_]:=And@@PrimeQ[{2n+1, 4n+3, 6n+5, 8n+7}]; Select[Prime@Range@77000, fQ] (* Harvey P. Dale, Dec 16 2010 *)

Prog

(Magma) [p: p in PrimesUpTo(1000000)| IsPrime(2*p+1) and IsPrime(4*p+3) and IsPrime(6*p+5) and IsPrime(8*p+7)]; // Vincenzo Librandi, Nov 13 2010

Crossrefs

Cf. A107024: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11, 14p+13 all prime; A107023: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11 all prime; A107022: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9 all prime; A107020: p, 2p+1, 4p+3, 6p+5 all prime; A007700: p, 2p+1, 4p+3 all prime; A005384: p, 2p+1 prime (p = Sophie Germain primes).

Cf. A005384, A007700, A107020, A107022, A107023, A107024.

Sequence in context: A099690 A196750 A349512 * A107022 A330901 A285693

Adjacent sequences: A107018 A107019 A107020 * A107022 A107023 A107024

Keyword

nonn

Author

Zak Seidov, May 09 2005

Extensions

More terms from Vincenzo Librandi, Apr 01 2010

Status

approved