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

1,1

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

Mathematica

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

Prog

(Magma) [n: n in [10..100000] | IsPrime(101*n - 997)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(101*n-997) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A105679, A105583.

Sequence in context: A187797 A352297 A192221 * A053747 A228491 A295667

Adjacent sequences: A106692 A106693 A106694 * A106696 A106697 A106698

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 13 2005

Status

approved