Home > Numbers
| four or more (Posted on 2010-01-25) |
 |
Without evaluating the value of N=5*7^34
prove that at least one digit appears in the number four or more times.
|
|
Submitted by Ady TZIDON
|
|
Rating: 4.0000 (1 votes)
|
|
|
Solution:
|
(Hide)
|
|
N has 30 digits. If every digit occured exactly 3 times than N would be a multiple of 3.
But N's prime divisors are 5 and 7 only.
So at least one digit is present 4 times or more. |
Comments: (
You must be logged in to post comments.)
| |
Subject |
Author |
Date |
 | Fortissimo | ed bottemiller | 2010-01-25 17:00:49 |
 | Solution | Brian Smith | 2010-01-25 14:53:21 |
|
|
Please log in:
Forums (1)
Newest Problems
Random Problem
FAQ |
About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
|
