A105655 - OEIS

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A105655

Numbers k such that p1=2k+3, p2=4k+5, p3=6k+7, p4=8k+9, p5=10k+11 and p6=12k+13 are all prime.

12704, 13019, 105524, 256409, 966839, 1707509, 1944494, 2309999, 2478629, 3132674, 3836069, 3976769, 4112429, 4532324, 5499584, 5920004, 6610484, 7390844, 8552249, 10739504, 11120339, 12231449, 12338129, 13243229, 16467254

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..25.

MATHEMATICA

With[{r1=Range[2, 12, 2], r2=Range[3, 13, 2]}, Select[Range[16500000], And@@PrimeQ[# r1+r2]&]] (* Harvey P. Dale, Jan 31 2011 *)

PROG

(Magma)[n: n in [0..10000000]|IsPrime(2*n+3) and IsPrime(4*n+5) and IsPrime(6*n+7) and IsPrime(8*n+9) and IsPrime(10*n+11)and IsPrime(12*n+13)] // Vincenzo Librandi, Dec 16 2010

CROSSREFS

Cf. A005382, A005383, A105610, A105652, A105653, A105654, A105656, A105657.

Sequence in context: A254806 A253815 A083602 * A124411 A256809 A205939

Adjacent sequences: A105652 A105653 A105654 * A105656 A105657 A105658

KEYWORD

nonn

AUTHOR

Zak Seidov, Apr 16 2005

STATUS

approved