A088879 Numbers n such that 3n + 5 is a prime.

-1, 0, 2, 4, 6, 8, 12, 14, 16, 18, 22, 26, 28, 32, 34, 36, 42, 44, 48, 54, 56, 58, 62, 64, 74, 76, 78, 82, 84, 86, 88, 92, 96, 102, 104, 114, 116, 118, 126, 128, 132, 138, 142, 146, 148, 152, 154, 158, 162, 166, 168, 172, 184, 186, 188, 194, 196, 198, 204, 212, 214, 216, 218

Offset: 1

Author

Giovanni Teofilatto, Nov 27 2003

Keywords

• easy
• sign

References

• M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
• Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta, UTET, CittaStudiEdizioni, Milano 1997

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

A003627 gives primes, A091177 gives prime index.

Cf. A016789.

Programs

Mathematica

lst={};Do[p=n+(n+2)+(n+3);If[PrimeQ[p],AppendTo[lst,n]],{n,0,5!}];lst (* Vladimir Joseph Stephan Orlovsky, May 22 2009 *)
Select[Range[-1,300],PrimeQ[3#+5]&] (* Harvey P. Dale, Jun 08 2020 *)

Formula

a(n) = A024893(n) - 1 = A087370(n) - 2.

Extensions

Edited and extended by Ray Chandler, Dec 26 2003