A105652 - OEIS

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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

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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