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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
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
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 March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)