A137450 A038610(n) (the LCM of the positive integers that are <= n and are coprime to n) is the a(n)-th positive integer that is coprime to n.
1, 1, 2, 2, 10, 2, 52, 53, 187, 26, 2291, 129, 25588, 2758, 4271, 22523, 678325, 28362, 11607386, 1163963, 2111498, 601221, 222671145, 12394049, 856676621, 59403427, 1983047734, 307321811, 77544004469, 57508385
Offset: 1
Keywords
Examples
The positive integers that are <= 10 and are coprime to 10 are 1,3,7,9; lcm(1,3,7,9) = 63. Now the positive integers that are coprime to 10 form a sequence that begins: 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, ... Since 63 is the 26th of these integers, a(10) = 26.
Crossrefs
Cf. A038610.
Extensions
More terms from Sean A. Irvine, Nov 15 2009