Least m such that if a/b < c/d are Farey fractions of order n then there exists k such that a/b < k/m < c/d, k/m reduced.

A009571

Least m such that if a/b < c/d are Farey fractions of order n then there exists k such that a/b < k/m < c/d, k/m reduced.

Terms

    a(0) =2a(1) =3a(2) =5a(3) =7a(4) =13a(5) =17a(6) =31a(7) =31a(8) =43a(9) =59a(10) =73a(11) =83a(12) =101a(13) =137a(14) =149a(15) =157a(16) =197a(17) =197a(18) =227a(19) =257a(20) =293a(21) =307a(22) =367a(23) =383a(24) =421a(25) =463a(26) =509a(27) =557a(28) =577a(29) =653

External references