Home > Numbers
| Six numbers and a prime (Posted on 2006-08-29) |
 |
Consider six consecutive positive integers. Show that there is a prime number that divides exactly one of them.
proof2
|
 | Comment 10 of 23 | 
|
If the first number is not divisible by 5, then only one number is divisible by 5. Otherwise, out of the four middle numbers only two are divisible by 2, and only one by 3, so at least one number must be divisible by a prime larger than 5.
|
|
Posted by Art M
on 2006-08-30 18:42:52 |
|
|
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:
|
