A062571 a(n) = minimum over nonnegative integers m of the size of the largest subset of pairwise relatively prime numbers in {m+1, m+2, ..., m+n}.

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

Offset

1,2

Links

Table of n, a(n) for n=1..45.

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) = 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

Crossrefs

Cf. A062575.

Sequence in context: A156876 A137397 A239684 * A277903 A102515 A276571

Adjacent sequences: A062568 A062569 A062570 * A062572 A062573 A062574

Keyword

nonn,more

Author

Jeffrey Shallit, Jul 03 2001

Extensions

Name corrected by Wing Hong Tony Wong, Jun 11 2020

Status

approved