A210504 Numbers n for which 2*n+5, 4*n+5, 6*n+5, and 8*n+5 are primes.

0, 3, 6, 21, 24, 48, 63, 126, 213, 237, 297, 318, 402, 609, 657, 714, 783, 864, 948, 1053, 1287, 1347, 1449, 1581, 1683, 2166, 2184, 2358, 2457, 2463, 2481, 2736, 2793, 2898, 2919, 3024, 3723, 3786, 3909, 4017, 4479, 4584, 4602, 4857, 5169, 5634, 5733, 7101

Offset

0,2

Comments

All terms are multiple of 3.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Mathematica

Select[Range[0, 10000], PrimeQ[2*# + 5] && PrimeQ[4*# + 5] && PrimeQ[6*# + 5] && PrimeQ[ 8*# + 5] &] (* T. D. Noe, Jan 25 2013 *)
Select[Range[0, 8000], AllTrue[#{2, 4, 6, 8}+5, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 14 2016 *)

Crossrefs

Cf. A115334.

Sequence in context: A260157 A101719 A173165 * A101582 A069558 A174461

Adjacent sequences: A210501 A210502 A210503 * A210505 A210506 A210507

Keyword

nonn

Author

Vladimir Shevelev and Peter J. C. Moses, Jan 25 2013

Status

approved