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

Offset: 1

Author

Parthasarathy Nambi, May 13 2005

Keywords

• nonn
• easy

Comments

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

Examples

			If k=32, then 9973*k - 1009 = 318127 (prime).
If k=116, then 9973*k - 1009 = 1155859 (prime).
		

Links

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

Crossrefs

Cf. A105680, A105710.

Programs

Magma

[n: n in [1..100000] | IsPrime(9973*n - 1009)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

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

PARI

is(n)=isprime(9973*n-1009) \\ Charles R Greathouse IV, Jun 12 2017