A105679 Numbers k such that 997*k + 101 is prime.

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

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 A375162

Adjacent sequences: A105676 A105677 A105678 * A105680 A105681 A105682

Keyword

nonn

Author

Parthasarathy Nambi, May 06 2005

Status

approved