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Search: id:A155463
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| A155463 |
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Largest element of a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element (A115631). |
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+0
1
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| 7, 19, 71, 173, 383, 881, 2111, 5417, 10691, 21757, 27611
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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The solution for n=5 is {5, 29, 53, 89, 173}, so a(5)=173. This sequence is not proved to be optimal, so smaller terms may exist.
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LINKS
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Andrew Granville, Prime number patterns
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CROSSREFS
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Cf. A115631, A113832.
Sequence in context: A155242 A155333 A155296 this_sequence A005516 A152008 A002533
Adjacent sequences: A155460 A155461 A155462 this_sequence A155464 A155465 A155466
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KEYWORD
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nonn
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AUTHOR
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Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Jan 22 2009
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