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A105710
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Numbers k such that 9973*k + 1009 is prime.
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10
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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
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OFFSET
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1,2
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COMMENTS
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1009 and 9973 are the smallest and largest four-digit primes, respectively.
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LINKS
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EXAMPLE
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If k=0, then 9973*k + 1009 = 1009 (prime).
If k=168, then 9973*k + 1009 = 1676473 (prime).
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MATHEMATICA
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For[n = 1, n < 1000, n++, If[PrimeQ[(9973*n + 1009)], Print[n]]] (* Stefan Steinerberger, Feb 12 2006 *)
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PROG
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(Magma) [n: n in [0..800] | IsPrime(9973*n + 1009)]; // Vincenzo Librandi, Sep 14 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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