A067258 Numbers n such that n, 2n+1, 3n+2, 4n+3, 5n+4 are primes.

5, 89, 12899, 35999, 45569, 83579, 108359, 154769, 175349, 196769, 206009, 209039, 303029, 374009, 420419, 489179, 513239, 641549, 658349, 709589, 765749, 775949, 862769, 991079, 1018709, 1057019, 1265549, 1527629, 1609739, 1621079

Offset

1,1

Comments

Except for 5, all terms == 29 (mod 30). - Robert Israel, May 28 2018

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Maple

select(t -> andmap(isprime, [t, 2*t+1, 3*t+2, 4*t+3, 5*t+4]),
[5, seq(i, i=29..2*10^6, 30)]); # Robert Israel, May 28 2018

Mathematica

a={}; Do[p=Prime[n]; If[PrimeQ[p*2+1]&&PrimeQ[p*3+2]&&PrimeQ[p*4+3]&&PrimeQ[p*5+4], AppendTo[a, p]], {n, 1, 10^5}]; Print[a]; (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)

Crossrefs

Cf. A000040, A005384, A067256, A067257, A101767-A101770.

Sequence in context: A015085 A258181 A355082 * A167424 A174591 A065197

Adjacent sequences: A067255 A067256 A067257 * A067259 A067260 A067261

Keyword

easy,nonn

Author

Benoit Cloitre, Feb 20 2002

Extensions

More terms from Sascha Kurz, Mar 23 2002

Status

approved