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A101086
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Numbers n for which 997*n + 1009 is prime.
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6
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0, 6, 10, 12, 22, 36, 64, 76, 82, 94, 126, 130, 136, 144, 150, 162, 174, 186, 202, 204, 246, 250, 252, 274, 276, 292, 294, 300, 306, 312, 330, 342, 360, 364, 390, 430, 466, 472, 480, 484, 490, 502, 526, 540, 546, 582, 586, 592, 594, 606, 610, 616, 622, 642
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 997 is the largest three-digit prime and 1009 is the smallest four-digit prime.
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EXAMPLE
| If n=6, then 997*6 + 1009 = 6991 (prime).
If n=10, then 997*10 + 1009 = 10979 (prime).
If n=12, then 997*12 + 1009 = 12973 (prime).
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MATHEMATICA
| Select[Range[0, 700], PrimeQ[997#+1009]&] (* From Harvey P. Dale, June 29 2011 *)
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PROG
| (MAGMA) [ n: n in [0..700] | IsPrime(997*n + 1009) ]; [From Vincenzo Librandi, Feb 04 2011]
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CROSSREFS
| Cf. A100776, A101084, A101123, A101444.
Sequence in context: A064712 A098669 A046363 * A074924 A064166 A107371
Adjacent sequences: A101083 A101084 A101085 * A101087 A101088 A101089
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KEYWORD
| nonn
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 21 2005
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 25 2005
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