Can 5 be written as a product of fractions in this set?

W = {2/1, 5/3, 8/5, 11/7, 14/9 ...} = {(3n + 2)/(2n + 1) : n ≥ 0}

Repetitions are allowed.

Note: Extra credit: Same question for 10 and 20.

The integers 5 and 10 are not Wooley integers, but 20 is a Wooley integer - see http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/lagarias97.pdf

Posted by broll on 2013-08-29 04:45:27