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Factor numbers (Posted on 2011-03-26) Difficulty: 4 of 5
What is the first set of consecutive positive integers such that every number has a common factor greater than 1 with at least one other number in the set?

See The Solution Submitted by Math Man    
Rating: 4.8000 (5 votes)

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Some Thoughts MORE ABOUT STAPLED INTERVALS | Comment 3 of 5 |

Very good problem- I rated it 5.

I believe the source is Sloane A090318 A130170  A130173

An interval is stapled if for every element x there is another element y (different from x) such that gcd(x,y)>1.

The shortest stapled interval has length 17 and starts with the number 2184.

 

 

read more at sloane A130170

 


  Posted by Ady TZIDON on 2011-03-27 03:12:13
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