A105679 - OEIS

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

(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 *)