A106695 Numbers k such that 101*k - 997 is prime.

10, 16, 18, 24, 28, 34, 48, 54, 58, 66, 70, 76, 84, 90, 96, 100, 124, 136, 138, 150, 154, 156, 168, 178, 180, 186, 198, 208, 228, 234, 238, 256, 264, 276, 280, 294, 298, 300, 310, 318, 324, 336, 340, 354, 360, 366, 370, 376, 378, 390, 406, 418, 430, 450, 468

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=10, then 101*k - 997 = 13 (prime).
If k=66, then 101*k - 997 = 5669 (prime).
		

Links

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

Crossrefs

Cf. A105679, A105583.

Programs

Magma

[n: n in [10..100000] | IsPrime(101*n - 997)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Range[5,500],PrimeQ[101#-997]&] (* Harvey P. Dale, Sep 01 2021 *)

PARI

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