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A105679 Numbers k such that 997*k + 101 is prime. 6
0, 18, 24, 30, 36, 38, 44, 54, 56, 60, 78, 80, 86, 96, 108, 114, 128, 140, 144, 158, 168, 170, 176, 186, 198, 200, 206, 210, 224, 260, 288, 330, 348, 350, 366, 368, 374, 390, 414, 434, 444, 458, 470, 486, 488, 494, 530, 540, 560, 564, 570, 576, 596, 614, 648 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

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

If k=96, then 997*k + 101 = 95813 (prime).

MATHEMATICA

Select[Range[0, 1000], PrimeQ[997#+101]&] (* Harvey P. Dale, May 23 2012 *)

PROG

(Magma) [n: n in [0..700] | IsPrime(997*n+101)]; // Vincenzo Librandi, Nov 13 2010

(PARI) is(n)=isprime(997*n+101) \\ Charles R Greathouse IV, May 22 2017

CROSSREFS

Cf. A105680.

Sequence in context: A271327 A243539 A076770 * A160810 A076771 A179014

Adjacent sequences: A105676 A105677 A105678 * A105680 A105681 A105682

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi, May 06 2005

STATUS

approved

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Last modified December 2 12:19 EST 2022. Contains 358493 sequences. (Running on oeis4.)