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Search: id:A108897
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| A108897 |
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Numbers n such that 60n^2 + 30n - 30 +/- 1 is a twin prime pair. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 21, 22, 37, 39, 40, 41, 42, 51, 53, 54, 59, 64, 71, 80, 82, 83, 94, 102, 103, 105, 106, 110, 114, 118, 128, 143, 144, 156, 166, 167, 169, 172, 183, 192, 193, 199, 218, 222, 224, 227, 234, 235, 236, 253, 258, 259, 265, 266
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Some consecutive terms in this sequence are (102:103), (105:106), (143:144), ... (1320071:1320072), (1320250:1320251) ... Conjecture: There are infinitely many of these consecutive pairs.
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REFERENCES
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D. Wells, Prime Numbers: The Most Mysterious Figures in Math, John Wiley & Sons, 2005, p. 231.
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MATHEMATICA
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lst={}; Do[If[PrimeQ[60*n^2+30*n-30-1]&&PrimeQ[60*n^2+30*n-30+1], AppendTo[lst, n]], {n, 10^3}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 08 2008]
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CROSSREFS
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Sequence in context: A154125 A106039 A151767 this_sequence A023767 A023794 A032948
Adjacent sequences: A108894 A108895 A108896 this_sequence A108898 A108899 A108900
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 16 2005
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