A163629 Numbers such that the two adjacent integers are a prime and 5 times a prime.

14, 16, 24, 36, 54, 66, 84, 96, 114, 156, 234, 264, 294, 306, 336, 354, 366, 396, 444, 486, 504, 546, 564, 654, 684, 744, 756, 786, 864, 906, 954, 966, 984, 996, 1116, 1164, 1194, 1284, 1554, 1566, 1584, 1656, 1734, 1746, 1866, 1914, 1986, 2004, 2154, 2214

Offset

1,1

Links

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

Example

a(1)=14 which lies between 13=A000040(6) and 15=A001750(2).
a(2)=16 which lies between 15=A001750(2) and 17=A000040(7).

Mathematica

prQ[n_]:=Module[{a=n-1, b=n+1}, (PrimeQ[a]&&PrimeQ[b/5])||(PrimeQ[b] && PrimeQ[a/5])]; Select[Range[3000], prQ] (* Harvey P. Dale, Jun 05 2012 *)

Crossrefs

Cf. A000040, A163492.

Sequence in context: A291907 A255846 A076023 * A228207 A175887 A305885

Adjacent sequences: A163626 A163627 A163628 * A163630 A163631 A163632

Keyword

nonn

Author

Juri-Stepan Gerasimov, Aug 02 2009

Extensions

114, 444 added, 1303 removed, 1666 replaced by 1656 - R. J. Mathar, Aug 07 2009

Status

approved