A101767 Numbers n such that n, 2n+1, 3n+2, 4n+3, 5n+4, 6n+5 are primes.

154769, 175349, 641549, 658349, 1018709, 2274089, 2894219, 5246009, 6621929, 7949759, 8189999, 8678669, 10366439, 12327629, 13951559, 18160379, 18924569, 21914339, 22279949, 22297799, 24765509, 25592279, 31029389, 31835159, 36802079, 38844119, 38911949

Offset: 1

Author

Jonathan Vos Post and Ray Chandler, Dec 31 2004

Keywords

• nonn
• easy

Comments

a(n) == 209 (mod 210) - John Cerkan, Mar 22 2018

Links

• John Cerkan, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A005384, A067256, A067257, A067258, A101768, A101769, A101770.

Programs

Mathematica

a={}; Do[p=Prime[n]; If[PrimeQ[p*2+1]&&PrimeQ[p*3+2]&&PrimeQ[p*4+3]&&PrimeQ[p*5+4]&&PrimeQ[p*6+5], AppendTo[a, p]], {n, 1, 10^5}]; Print[a]; (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)

Extensions

Terms a(25) and beyond from John Cerkan, Mar 22 2018