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A105583
Numbers k such that 101*k + 997 is prime.
3
0, 14, 26, 30, 32, 44, 50, 54, 56, 60, 72, 92, 102, 110, 114, 116, 126, 140, 144, 152, 162, 176, 182, 192, 204, 206, 212, 234, 240, 242, 252, 296, 320, 324, 326, 330, 360, 366, 372, 386, 390, 396, 404, 410, 416, 444, 450, 452, 462, 474, 480, 494, 506, 512, 516
OFFSET
1,2
COMMENTS
101 and 997 are the smallest and largest three-digit primes.
LINKS
EXAMPLE
If k=0, then 101*k + 997 = 997 (prime).
If k=110, then 101*k + 997 = 12107 (prime).
MATHEMATICA
Select[Range[520], PrimeQ[101#+997]&] (* Stefano Spezia, Aug 02 2024 *)
PROG
(Magma) [n: n in [0..100000] | IsPrime(101*n + 997)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(101*n+997) \\ Charles R Greathouse IV, Jun 06 2017
CROSSREFS
Cf. A105679.
Sequence in context: A030786 A094163 A134837 * A323030 A005277 A079702
KEYWORD
nonn,easy
AUTHOR
Parthasarathy Nambi, May 06 2005
STATUS
approved