A105583 Numbers k such that 101*k + 997 is prime.

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

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

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

Adjacent sequences: A105580 A105581 A105582 * A105584 A105585 A105586

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 06 2005

Status

approved