A107020 Primes p such that 2p+1, 4p+3, 6p+5 are all primes.

2, 11, 41, 1901, 2459, 5081, 5849, 6131, 6449, 8969, 9221, 10691, 12119, 13229, 14009, 14321, 14669, 15161, 18461, 19709, 20411, 21179, 22271, 23099, 24551, 25601, 30389, 37991, 39419, 41381, 43691, 44699, 52289, 55631, 56081, 58979

Offset: 1

Author

Zak Seidov, May 09 2005

Keywords

• nonn

Links

• Donovan Johnson, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A107024: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11, 14p+13 all prime; A107023: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9, 12p+11 all prime; A107022: p, 2p+1, 4p+3, 6p+5, 8p+7, 10p+9 all prime; A107020: p, 2p+1, 4p+3, 6p+5, 8p+7 all prime; A007700: p, 2p+1, 4p+3 all prime; A005384: p, 2p+1 prime (p = Sophie Germain primes).

Cf. A005384, A007700, A107021, A107022, A107023, A107024.

Programs

Magma

[p: p in PrimesUpTo(1000000)| IsPrime(2*p+1) and IsPrime(4*p+3) and IsPrime(6*p+5) ]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Range[60000],AllTrue[{#,2#+1,4#+3,6#+5},PrimeQ]&] (* James C. McMahon, Feb 09 2024 *)

Extensions

More terms from Vincenzo Librandi, Apr 01 2010