A106060 Primes p such that 1*p + 8 and 8*p + 1 are primes.

5, 11, 29, 71, 101, 131, 149, 269, 401, 431, 449, 479, 491, 599, 761, 821, 929, 1229, 1289, 1559, 1571, 1601, 1619, 1871, 2081, 2129, 2339, 2531, 2549, 2609, 2741, 3041, 3209, 3299, 3461, 3719, 3761, 4289, 5189, 5861, 6269, 6359, 6569, 6701, 6959, 7211

Offset: 1

Author

Zak Seidov, May 07 2005

Keywords

• nonn

Comments

Cf. A045536: Primes p such that 1*p+2 and 2*p+1 are prime; A007693: Numbers n such that n and 6*n+1 are primes.

Crossrefs

Cf. A007693, A045536.

Programs

Magma

[p: p in PrimesUpTo(10000) | IsPrime(p+8) and IsPrime(8*p+1)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Prime[Range[220]], PrimeQ[8#+1]&&PrimeQ[1#+8]&]