A089161 Numbers k such that 30*k + 17 and 30*k + 19 are twin primes.

0, 3, 4, 6, 7, 11, 20, 27, 28, 42, 47, 49, 53, 55, 56, 59, 62, 66, 67, 69, 74, 75, 88, 89, 105, 108, 115, 117, 118, 125, 130, 137, 138, 140, 144, 150, 151, 154, 159, 165, 180, 182, 188, 195, 206, 227, 231, 237, 243, 248, 249, 251, 258, 262, 269, 279, 284, 286, 287

Offset: 1

Author

Pierre CAMI, Dec 06 2003

Keywords

• easy
• nonn

Examples

			3 is a term since 30*3 + 17 = 107, 30 * 3 + 19 = 109, and (107, 109) are twin primes.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A158648 and A158806.

Cf. A001097 (twin primes).

Programs

Maple

a:=proc(n) if isprime(30*n+17)=true and isprime(30*n+19)=true then n else fi end: seq(a(n),n=0..400); # Emeric Deutsch, Jun 13 2005

Mathematica

Select[Range[0, 300], And @@ PrimeQ[30# + {17, 19}] &] (* Amiram Eldar, Jan 27 2020 *)

Extensions

More terms from Emeric Deutsch, Jun 13 2005