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A102657
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Numbers n such that 11n^2 + 11n + 1 is prime.
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0
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1, 2, 5, 6, 7, 9, 11, 13, 14, 20, 23, 25, 26, 27, 28, 32, 33, 36, 37, 40, 42, 48, 49, 50, 51, 58, 61, 62, 68, 74, 75, 76, 77, 78, 81, 84, 92, 96, 103, 104, 109, 111, 119, 120, 126, 127, 133, 135, 137, 141, 142, 144, 145, 149, 153, 156, 158, 163, 166, 168, 169, 172, 176
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OFFSET
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1,2
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LINKS
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EXAMPLE
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For n=1, 11n^2 + 11n + 1 = 11*1^2 + 11*1 + 1 = 23 (prime);
for n=20, 11n^2 + 11n + 1 = 11*20^2 + 11*20 + 1 = 4621 (prime);
for n=40, 11n^2 + 11n + 1 = 11*40^2 + 11*40 + 1 = 18041 (prime).
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MATHEMATICA
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Select[Range[200], PrimeQ[11#^2+11#+1]&] (* Harvey P. Dale, Aug 15 2012 *)
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PROG
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(Magma) [n: n in [0..1000] | IsPrime(11*n^2+11*n+1)] // Vincenzo Librandi, Nov 17 2010]
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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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STATUS
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approved
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