A173230 Primes p of the form 6k+1 such that 6p+1 is also prime.

7, 13, 37, 61, 73, 103, 151, 181, 241, 271, 277, 283, 313, 331, 367, 373, 397, 577, 601, 607, 661, 727, 751, 787, 853, 907, 937, 1033, 1063, 1117, 1171, 1201, 1321, 1327, 1381, 1423, 1453, 1531, 1567, 1693, 1777, 1831, 1873, 1987, 1993, 2137, 2161, 2203, 2221, 2281, 2287, 2293, 2347, 2551, 2593, 2677, 2767, 2791, 2851, 2971, 3037, 3061, 3163, 3181, 3307, 3391

Offset: 1

Author

Zak Seidov, Nov 22 2010

Keywords

• nonn

Crossrefs

Subsequence of A007693 which in turn is subsequence of A024899.

Programs

Magma

[ p: n in [0..600] | IsPrime(6*p+1) and IsPrime(p) where p is 6*n+1 ];

Mathematica

sp1Q[n_]:=IntegerQ[(n-1)/6]&&PrimeQ[6n+1]; Select[Prime[Range[500]],sp1Q] (* Harvey P. Dale, Apr 08 2018 *)