A106700 - OEIS

A106700

Numbers k such that 9973*k - 1009 is prime.

32, 72, 74, 90, 92, 96, 102, 104, 114, 116, 120, 144, 156, 200, 210, 216, 230, 236, 242, 260, 270, 272, 294, 296, 312, 314, 324, 326, 336, 344, 354, 386, 432, 450, 456, 464, 476, 494, 516, 522, 530, 546, 566, 600, 620, 630, 632, 660, 686, 714, 716, 726, 734

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

1009 and 9973 are the smallest and largest of four-digit primes.

LINKS

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

EXAMPLE

If k=32, then 9973*k - 1009 = 318127 (prime).

If k=116, then 9973*k - 1009 = 1155859 (prime).

MATHEMATICA

Select[Range[1000], PrimeQ[9973#-1009]&] (* Harvey P. Dale, Jan 29 2013 *)