A173165 Numbers k such that 2*k^2 -+ 1 is a twin prime pair.

3, 6, 21, 24, 36, 42, 45, 87, 102, 132, 153, 186, 204, 228, 237, 273, 297, 300, 321, 375, 426, 441, 468, 486, 489, 519, 570, 606, 636, 693, 735, 756, 759, 792, 885, 918, 951, 990, 993, 1065, 1098, 1128, 1131, 1158, 1191, 1326, 1344, 1359, 1386, 1407, 1443

Offset: 1

Author

Juri-Stepan Gerasimov, Feb 11 2010

Keywords

• nonn

Comments

A001105(k+1) -+ 1 is a twin prime pair.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001105, A014574, A037073, A154670.

Programs

Mathematica

Select[Range[1500], And @@ PrimeQ[2*#^2 + {-1, 1}] &] (* Amiram Eldar, Dec 20 2019 *)

Formula

a(n) = 3*A037073(n) = A154670(n)/6.

Extensions

Entries checked by R. J. Mathar, Mar 09 2010