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Search: id:A128829
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| A128829 |
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Numbers n such that 6*n^2 + 17 is prime. |
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+0
2
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 20, 21, 23, 25, 26, 27, 28, 30, 31, 33, 36, 37, 38, 41, 42, 44, 46, 48, 49, 50, 53, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 72, 73, 75, 76, 77, 79, 81, 82, 83, 89, 95, 96, 98, 100, 101, 103, 106, 107, 108, 110, 111, 113
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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6*8^2 + 17 = 401 is prime, hence 8 is a term.
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MAPLE
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a:=proc(n) if isprime(6*n^2+17)=true then n else fi end: seq(a(n), n=0..150); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2007
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MATHEMATICA
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f[a_]:=6*a^2+17; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, n]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 14 2009]
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PROGRAM
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(MAGMA) [ n: n in [0..113] | IsPrime(6*n^2+17) ]; /* Klaus Brockhaus, Apr 16 2007 */
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CROSSREFS
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Sequence in context: A017909 A124695 A005555 this_sequence A023770 A023797 A032951
Adjacent sequences: A128826 A128827 A128828 this_sequence A128830 A128831 A128832
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KEYWORD
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nonn,less
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), Apr 13 2007
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2007
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