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

1,2

Comments

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

Links

Table of n, a(n) for n=1..56.

Example

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).

Mathematica

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

Prog

(Magma) [n: n in [0..1000] | IsPrime(11*n + 101)]; // Vincenzo Librandi, Nov 17 2010
(PARI) is(n)=isprime(11*n+101) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A101123, A101086.

Sequence in context: A370725 A063214 A075082 * A102148 A107407 A315125

Adjacent sequences: A101500 A101501 A101502 * A101504 A101505 A101506

Keyword

nonn,easy

Author

Parthasarathy Nambi, Jan 24 2005

Extensions

More terms from Stefan Steinerberger, Feb 28 2006

Status

approved