A105679 Numbers k such that 997*k + 101 is prime.

0, 18, 24, 30, 36, 38, 44, 54, 56, 60, 78, 80, 86, 96, 108, 114, 128, 140, 144, 158, 168, 170, 176, 186, 198, 200, 206, 210, 224, 260, 288, 330, 348, 350, 366, 368, 374, 390, 414, 434, 444, 458, 470, 486, 488, 494, 530, 540, 560, 564, 570, 576, 596, 614, 648

Offset: 1

Author

Parthasarathy Nambi, May 06 2005

Keywords

• nonn

Comments

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

Examples

			If k=0, then 997*k + 101 = 101 (prime).
If k=96, then 997*k + 101 = 95813 (prime).
		

Links

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

Crossrefs

Cf. A105680.

Programs

Magma

[n: n in [0..700] | IsPrime(997*n+101)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Range[0,1000],PrimeQ[997#+101]&] (* Harvey P. Dale, May 23 2012 *)

PARI

is(n)=isprime(997*n+101) \\ Charles R Greathouse IV, May 22 2017