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, 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

Offset

1,2

Comments

a(n) = k if and only if A260652(k-1) <= n < A260652(k). - Jeffrey Shallit, Apr 18 2026

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, A260652.

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