Skip to main content

Timeline for Divisible by seventeen

Current License: CC BY-SA 3.0

6 events
when toggle format what by license comment
Feb 19, 2016 at 16:41 vote accept Alexis
Feb 16, 2016 at 13:16 comment added Michael Seifert Good point. In fact, I think any number that's relatively prime to 9 (i.e., not a multiple of 3) will be a divisor of 9m - 1 for some m.
Feb 16, 2016 at 6:58 comment added Sleafar @MichaelSeifert Actually all numbers equal to 8 (mod 9) and their divisors will have a solution. The numbers which definitely won't have a solution are multiples of 9, because 9m-1 will be never divisible by 9.
Feb 15, 2016 at 22:14 comment added Michael Seifert This method would generalize to a version of the puzzle where instead of multiples of 17, you wanted multiples of $9m - 1$ for integer $m$ (8, 17, 26, 35, ...) I don't think the puzzle would have solutions for multiples of any numbers that were equal to 8 (mod 9).
Feb 14, 2016 at 18:03 history edited Sleafar CC BY-SA 3.0
added 2 characters in body
Feb 14, 2016 at 17:54 history answered Sleafar CC BY-SA 3.0