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A062575 a(n) = maximum over m of the size of the largest subset of pairwise relatively prime numbers in {m+1, m+2, ..., m+n}. 1
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; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..76.

P. Erdős and J. L. Selfridge, Complete prime subsets of consecutive integers, Proceedings of the Manitoba Conference on Numerical Mathematics, Winnipeg (1971), p. 13.

EXAMPLE

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.

CROSSREFS

Cf. A062571.

Sequence in context: A189705 A303601 A031247 * A073188 A269225 A217713

Adjacent sequences:  A062572 A062573 A062574 * A062576 A062577 A062578

KEYWORD

nonn

AUTHOR

Jeffrey Shallit, Jul 03 2001

EXTENSIONS

Name corrected by Charles R Greathouse IV, Sep 24 2015

STATUS

approved

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Last modified August 19 21:19 EDT 2019. Contains 326133 sequences. (Running on oeis4.)