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Search: id:A115631
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| A115631 |
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Triangle read by rows: row n (n>=2) gives a set of n primes with the property that the pairwise averages are all distinct primes, having the smallest largest element. |
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2
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| 3, 7, 3, 7, 19, 3, 11, 23, 71, 5, 29, 53, 89, 173, 3, 11, 83, 131, 251, 383, 5, 17, 41, 101, 257, 521, 881, 11, 83, 251, 263, 443, 1103, 1511, 2111, 257, 269, 509, 857, 1697, 2309, 2477, 2609, 5417, 11, 83, 251, 263, 1511, 2351, 2963, 7583, 8663, 10691
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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This table is the same as A113832 for rows 2,3,4, and 6. Note that row 7, {5,17,41,101,257,521,881}, is the same as row 8 of A113832 with 761 deleted.
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LINKS
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Andrew Granville, Prime number patterns
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EXAMPLE
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The set of primes generated by {5, 29, 53, 89, 173} is {17, 29, 41, 47, 59, 71, 89, 101, 113, 131}. Triangle begins:
3, 7
3, 7, 19
3, 11, 23, 71
5, 29, 53, 89, 173
3, 11, 83, 131, 251, 383
5, 17, 41, 101, 257, 521, 881
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CROSSREFS
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Sequence in context: A016665 A120124 A113832 this_sequence A053008 A053010 A118452
Adjacent sequences: A115628 A115629 A115630 this_sequence A115632 A115633 A115634
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KEYWORD
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nonn,tabf
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jan 27 2006
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