Numbers n such that 2n+1, 2n+3, and 2n+7 are prime.
2, 5, 8, 20, 50, 53, 95, 113, 155, 173, 230, 320, 410, 428, 440, 545, 638, 650, 713, 740, 743, 803, 935, 998, 1040, 1118, 1133, 1328, 1343, 1625, 1730, 1763, 1835, 1958, 2000, 2063, 2258, 2318, 2393, 2465, 2483, 2615, 2738, 2750, 2825, 3098, 3413, 3938
1
Note that these numbers are a subset of S000315. It is conjectured that this sequence is infinite.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) Select[Range[4000], And @@ PrimeQ /@ ({1, 3, 7} + 2*#) &]
nonn
T. D. Noe, Nov 05 2014