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

1,1

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 *)

Prog

MAGMA) [n: n in [1..100000] | IsPrime(9973*n - 1009)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(9973*n-1009) \\ Charles R Greathouse IV, Jun 12 2017

Crossrefs

Cf. A105680, A105710.

Sequence in context: A135110 A228665 A101539 * A250755 A216427 A104026

Adjacent sequences: A106697 A106698 A106699 * A106701 A106702 A106703

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 13 2005

Status

approved