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

Author

Benoit Cloitre, Feb 20 2002

Keywords

• nonn

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

Crossrefs

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

Programs

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

Mathematica

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

Extensions

Extended by Ray Chandler, Dec 31 2004