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A105710
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Numbers n such that (9973*n + 1009) is prime.
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11
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 1009 and 9973 are the smallest and the largest of four digit primes, respectively.
The theorem of Dirichlet shows that this sequence is infinite. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
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EXAMPLE
| If n=0, then 9973*n + 1009 = 1009 (prime).
If n=168, then 9973*n + 1009 = 1676473 (prime).
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MATHEMATICA
| For[n = 1, n < 1000, n++, If[PrimeQ[(9973*n + 1009)], Print[n]]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
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CROSSREFS
| Sequence in context: A168106 A061900 A048023 * A192226 A080983 A179105
Adjacent sequences: A105707 A105708 A105709 * A105711 A105712 A105713
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KEYWORD
| nonn
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), May 06 2005
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
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