A101503 Numbers k such that 11*k + 101 is prime.

0, 6, 10, 12, 16, 28, 30, 40, 42, 46, 52, 58, 60, 66, 76, 88, 90, 100, 102, 108, 118, 126, 130, 132, 136, 138, 142, 160, 168, 172, 180, 192, 208, 210, 216, 220, 222, 228, 238, 240, 250, 256, 258, 268, 276, 280, 282, 292, 306, 310, 312, 322, 328, 336, 342, 346

Offset: 1

Author

Parthasarathy Nambi, Jan 24 2005

Keywords

• nonn
• easy

Comments

11 is the smallest two-digit prime and 101 is the smallest three-digit prime.

Examples

			If k=0, then 11*0 + 101 = 101 (prime).
If k=6, then 11*6 + 101 = 167 (prime).
If k=60, then 11*60 + 101 = 761 (prime).
		

Crossrefs

Cf. A101123, A101086.

Programs

Magma

[n: n in [0..1000] | IsPrime(11*n + 101)]; // Vincenzo Librandi, Nov 17 2010

Mathematica

Select[Range[0, 300], PrimeQ[11# + 101] &] (* Stefan Steinerberger, Feb 28 2006 *)

PARI

is(n)=isprime(11*n+101) \\ Charles R Greathouse IV, Jun 13 2017

Extensions

More terms from Stefan Steinerberger, Feb 28 2006