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A062571
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a(n) = minimum 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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1
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1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| a(5) = 3 because the largest pairwise relatively prime subset of {2,3,4,5,6} is of size 3 (e.g. {2,3,5}) and any 5 consecutive integers must contain at least 3 that are relatively prime
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CROSSREFS
| Cf. A062575.
Sequence in context: A094235 A156876 A137397 * A102515 A066063 A123087
Adjacent sequences: A062568 A062569 A062570 * A062572 A062573 A062574
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KEYWORD
| nonn
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AUTHOR
| Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca), Jul 03 2001
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