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

Author

Benoit Cloitre, Feb 20 2002

Keywords

• easy
• nonn

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

Crossrefs

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

Programs

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 *)

Extensions

More terms from Sascha Kurz, Mar 23 2002