Home > Just Math
|Bored student (Posted on 2019-08-30)
One day an extremely bored student began writing down the positive integers in order: 1,2,3,... When she got to 20 she noticed that she had used the digit 1 twelve times (once each for 1,10,12,13,...,19 and twice for 11). She asked herself if there was some number n (greater than 1) such that in writing down the integers from 1 to n she would have used the digit 1 exactly n times.
Is there such an n?
If so, is there a largest such n?
What if the digit 1 is replaced by another digit?
What if we work in a number base other than base 10?
| Comment 2 of 3 |
If you find the better knowledge which you think you could find here. Then you must come on this blog and share something best for buy custom essays online. This is the easy way from all of the other is trying to take ever for them.
Posted by Leteyrs
on 2019-09-14 04:55:20
Please log in:
About This Site
New Comments (2)
Top Rated Problems
This month's top
Most Commented On