A101123 Numbers k for which 7*k + 11 is prime.

0, 6, 8, 14, 18, 20, 24, 26, 36, 38, 48, 54, 60, 68, 78, 80, 84, 86, 90, 96, 104, 114, 116, 128, 138, 140, 144, 146, 150, 156, 158, 168, 170, 174, 188, 204, 206, 210, 216, 224, 228, 230, 236, 246, 248, 254, 260, 266, 270, 284, 288, 294, 296, 300, 306, 318, 320

Offset: 1

Author

Parthasarathy Nambi, Jan 21 2005

Keywords

• nonn

Comments

Note that 7 is the largest single-digit prime and 11 is the smallest two-digit prime.

Examples

			For k=6, 7*6 + 11 = 53 (prime).
For k=8, 7*8 + 11 = 67 (prime).
For k=14, 7*14 + 11 = 109 (prime).
		

Links

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

Crossrefs

Cf. A017029, A101084, A101086, A101444.

Programs

Mathematica

Select[Range[0,500],PrimeQ[7#+11]&] (* Harvey P. Dale, Jun 05 2012 *)

PARI

isA101123(n)=isprime(7*n+11) \\ Michael B. Porter, Apr 20 2010

Extensions

Extended by Ray Chandler, Jan 25 2005