A067257 Numbers n such that n, 2n+1, 3n+2, 4n+3 are primes.

5, 89, 1409, 1889, 10589, 11549, 11909, 12899, 17159, 19889, 22349, 24239, 26189, 35999, 37049, 37379, 39419, 44879, 45569, 49919, 60779, 67559, 68669, 75329, 83579, 88919, 104369, 108359, 112349, 114599, 127139, 133979, 135029, 135449

Offset

1,1

Comments

Terms are congruent to {5,29} mod 30. - Zak Seidov, May 31 2012

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[10^5]], PrimeQ[2*#+1]&&PrimeQ[3*#+2]&&PrimeQ[4*#+3] &] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2008 *)

Prog

(Magma) [n: n in [1..150000] | IsPrime(n) and IsPrime(2*n+1) and IsPrime(3*n+2) and IsPrime(4*n+3)]; // Vincenzo Librandi, Oct 31 2014

Crossrefs

Cf. A000040, A005384, A067256, A067258, A101767-A101770.

Sequence in context: A264247 A348578 A360064 * A134497 A358388 A339001

Adjacent sequences: A067254 A067255 A067256 * A067258 A067259 A067260

Keyword

nonn

Author

Benoit Cloitre, Feb 20 2002

Extensions

Extended by Ray Chandler, Dec 31 2004

Status

approved