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

Author

Parthasarathy Nambi, May 06 2005

Keywords

• nonn
• easy

Comments

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

Examples

			If k=0, then 101*k + 997 = 997 (prime).
If k=110, then 101*k + 997 = 12107 (prime).
		

Links

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

Crossrefs

Cf. A105679.

Programs

Magma

[n: n in [0..100000] | IsPrime(101*n + 997)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Range[520],PrimeQ[101#+997]&] (* Stefano Spezia, Aug 02 2024 *)

PARI

is(n)=isprime(101*n+997) \\ Charles R Greathouse IV, Jun 06 2017