A105652 Numbers k such that p1=2k+3, p2=4k+5 and p3=6k+7 are all prime.

0, 2, 17, 104, 134, 152, 164, 167, 299, 362, 584, 617, 647, 764, 827, 1109, 1139, 1277, 1517, 1529, 1532, 2129, 2222, 2399, 2474, 2612, 2789, 2924, 3074, 3179, 3344, 3419, 3482, 3809, 3839, 3842, 3932, 4007, 4082, 4094, 4142, 4259, 4262, 4322, 4469, 4544

Offset

1,2

Comments

Except for 0, all terms == 2 or 14 (mod 15). - Robert Israel, Jun 08 2018

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = (A174734(n)-3)/2. - Robert Israel, Jun 08 2018

Maple

select(k -> andmap(isprime, [2*k+3, 4*k+5, 6*k+7]), [0, seq(seq(15*i+j, j=[2, 14]), i=0..1000)]); # Robert Israel, Jun 08 2018

Prog

(Magma) [n: n in [0..5000] | IsPrime(2*n+3) and IsPrime(4*n+5) and IsPrime(6*n+7)]; // Vincenzo Librandi, Nov 13 2010

Crossrefs

Cf. A005382, A005383, A105610, A105653 - A105657, A174734.

Sequence in context: A272065 A129977 A213787 * A204238 A198796 A186104

Adjacent sequences: A105649 A105650 A105651 * A105653 A105654 A105655

Keyword

nonn

Author

Zak Seidov, Apr 16 2005

Status

approved