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 A105710 Numbers k such that 9973*k + 1009 is prime. 10
 0, 28, 36, 70, 76, 78, 106, 124, 136, 168, 184, 198, 208, 216, 226, 234, 238, 246, 258, 294, 300, 304, 318, 348, 364, 366, 370, 394, 418, 436, 454, 468, 474, 496, 556, 570, 588, 598, 604, 616, 660, 688, 696, 714, 736, 738, 744, 748 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 1009 and 9973 are the smallest and largest four-digit primes, respectively. The theorem of Dirichlet shows that this sequence is infinite. - Stefan Steinerberger, Feb 12 2006 LINKS Table of n, a(n) for n=1..48. EXAMPLE If k=0, then 9973*k + 1009 = 1009 (prime). If k=168, then 9973*k + 1009 = 1676473 (prime). MATHEMATICA For[n = 1, n < 1000, n++, If[PrimeQ[(9973*n + 1009)], Print[n]]] (* Stefan Steinerberger, Feb 12 2006 *) Select[Range[0, 1000], PrimeQ[9973 # + 1009] &] (* Vincenzo Librandi, Sep 14 2015 *) PROG (Magma) [n: n in [0..800] | IsPrime(9973*n + 1009)]; // Vincenzo Librandi, Sep 14 2015 (PARI) is(n)=isprime(9973*n+1009) \\ Charles R Greathouse IV, Feb 17 2017 CROSSREFS Cf. A105679. Sequence in context: A061900 A048023 A359529 * A192226 A323005 A080983 Adjacent sequences: A105707 A105708 A105709 * A105711 A105712 A105713 KEYWORD nonn,easy AUTHOR Parthasarathy Nambi, May 06 2005 EXTENSIONS More terms from Stefan Steinerberger, Feb 12 2006 STATUS approved

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Last modified October 3 13:19 EDT 2023. Contains 365866 sequences. (Running on oeis4.)