A106697 Numbers k such that 997*k - 101 is prime.

6, 12, 24, 34, 40, 66, 114, 124, 130, 144, 154, 172, 196, 210, 222, 226, 240, 244, 252, 270, 282, 300, 306, 336, 352, 354, 366, 370, 376, 382, 384, 424, 432, 454, 474, 480, 502, 532, 562, 570, 574, 586, 592, 600, 604, 612, 616, 622, 636, 646, 690, 702, 714

Offset: 1

Author

Parthasarathy Nambi, May 13 2005

Keywords

• nonn
• easy

Comments

101 and 997 are the smallest and largest three-digit primes.

Examples

			If k=6, then 997*k - 101 = 5881 (prime).
If k=144, then 997*k - 101 = 143467 (prime).
		

Crossrefs

Cf. A105679, A105583.

Programs

Magma

[n: n in [1..100000] | IsPrime(997*n - 101)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Range[800],PrimeQ[997#-101]&] (* Harvey P. Dale, Oct 01 2012 *)

PARI

is(n)=isprime(997*n-101) \\ Charles R Greathouse IV, Jun 13 2017