

A067257


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


7



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
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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, A101767A101770.
Sequence in context: A167735 A221517 A264247 * A134497 A028353 A191512
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



