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A106697 Numbers k such that 997*k - 101 is prime. 0
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 (list; graph; refs; listen; history; text; internal format)
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 * A249127 A277336 A140522

Adjacent sequences:  A106694 A106695 A106696 * A106698 A106699 A106700

KEYWORD

nonn,easy

AUTHOR

Parthasarathy Nambi, May 13 2005

STATUS

approved

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Last modified October 18 20:10 EDT 2018. Contains 316325 sequences. (Running on oeis4.)