A106697 Numbers k such that 997*k - 101 is prime.

6, 12, 24, 34, 40, 66, 114, 124, 130, 144, 154, 172, 196, 210, 222, 226, 240, 244, 252, 270, 282, 300, 306, 336, 352, 354, 366, 370, 376, 382, 384, 424, 432, 454, 474, 480, 502, 532, 562, 570, 574, 586, 592, 600, 604, 612, 616, 622, 636, 646, 690, 702, 714

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..53.

Example

If k=6, then 997*k - 101 = 5881 (prime).
If k=144, then 997*k - 101 = 143467 (prime).

Mathematica

Select[Range[800], PrimeQ[997#-101]&] (* Harvey P. Dale, Oct 01 2012 *)

Prog

(Magma) [n: n in [1..100000] | IsPrime(997*n - 101)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(997*n-101) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A105679, A105583.

Sequence in context: A000082 A263849 A227416 * A323002 A249127 A277336

Adjacent sequences: A106694 A106695 A106696 * A106698 A106699 A106700

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 13 2005

Status

approved