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

1,1

Links

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

Mathematica

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

Prog

(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

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.

Sequence in context: A258937 A347110 A225907 * A160945 A079808 A089658

Adjacent sequences: A107017 A107018 A107019 * A107021 A107022 A107023

Keyword

nonn

Author

Zak Seidov, May 09 2005

Extensions

More terms from Vincenzo Librandi, Apr 01 2010

Status

approved