perplexus.info :: Just Math : Reciprocal Period Poser

Reciprocal Period Poser (Posted on 2016-10-29)

N is a duodecimal positive integer ≤ BB.
Find the value of N such that 1/N has the maximum period of its digits after the duodecimal point.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The maximum perod is 139, when N = B7(base12)
For an explanation, refer to the analytic solution submitted by Daniel in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution	Charlie	2016-10-29 10:49:24
solution	Daniel	2016-10-29 09:51:37

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info