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Search: id:A062575
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| A062575 |
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a(n) = maximum over m of the size of the largest subset of pairwise relatively prime numbers in {m, m+1, m+2, ..., m+n}. |
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+0
2
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| 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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P. Erdos and J. L. Selfridge, Complete prime subsets of consecutive integers, Proc. Conf. Numerical Maths, Winnipeg (1971), p. 13
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EXAMPLE
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a(5) = 4, since {1,2,3,4,5} contains the subset {1,2,3,5} which is pairwise relatively prime, and it is impossible for 5 consecutive positive integers to be pairwise relatively prime.
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CROSSREFS
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Cf. A062571.
Sequence in context: A070984 A134995 A031247 this_sequence A073188 A047740 A137687
Adjacent sequences: A062572 A062573 A062574 this_sequence A062576 A062577 A062578
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KEYWORD
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nonn
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AUTHOR
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Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca), Jul 03 2001
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