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Search: id:A124662
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| A124662 |
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Primes prime(n) such that there exists a 0 < k < n-1 such that prime(n+k) + prime(n-k) = 2*prime(n). |
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+0
2
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| 5, 11, 13, 17, 29, 31, 37, 41, 53, 59, 61, 67, 71, 83, 89, 97, 101, 103, 107, 127, 131, 137, 139, 151, 157, 167, 173, 179, 181, 191, 193, 197, 211, 233, 251, 257, 263, 277, 307, 311, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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prime(11+3) + prime(11-3) = 2*prime(11); therefore prime(11) = 31 is in the sequence.
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MATHEMATICA
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a = {}; For[k = 3, k < 100, k++, For[n = 1, n < k - 1, n++, If[(Prime[k + n] + Prime[k - n])/2 == Prime[k], AppendTo[a, Prime[k]]]]]; Union[a, a]
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CROSSREFS
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Adjacent sequences: A124659 A124660 A124661 this_sequence A124663 A124664 A124665
Sequence in context: A040113 A003632 A019354 this_sequence A049511 A024900 A087490
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Dec 23 2006
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EXTENSIONS
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Edited, corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 31 2007
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