perplexus.info :: Numbers : Six numbers and a prime

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.

See The Solution Submitted by JLo

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

n = 12

| Comment 5 of 23 |

A more challenging proposition:

Consider 12 consecutive positive integers. Show that there is a prime number that divides exactly one of them.

Posted by Steve Herman on 2006-08-29 20:04:25

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:


perplexus dot info