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A107021 Primes p such that 2p+1, 4p+3, 6p+5, 8p+7 are all primes. 5
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 (list; graph; refs; listen; history; text; internal format)
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: A190127 A099690 A196750 * A107022 A285693 A112720

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

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Last modified July 22 16:42 EDT 2019. Contains 325225 sequences. (Running on oeis4.)