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 2019-06-02, 11:52 #1 Xyzzy     "Mike" Aug 2002 41×199 Posts June 2019
 2019-06-02, 21:28 #2 Dieter   Oct 2017 1628 Posts The distance has to be less than 10^{-15} , but not zero. Otherwise {2,8,72} and {32,50} were a simple solution.
 2019-06-02, 21:49 #3 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 2·1,009 Posts As well as {25} and {9, 4}
 2019-06-02, 23:04 #4 SmartMersenne   Sep 2017 1448 Posts Well, it can even be {1} and {1}, because nobody said they should be different.
 2019-06-03, 04:48 #5 Dieter   Oct 2017 2×3×19 Posts Is 1 a smooth number?
2019-06-03, 05:54   #6
SmartMersenne

Sep 2017

10010 Posts

Quote:
 Originally Posted by Dieter Is 1 a smooth number?
If you are asking just to question the simple answer we can go with {2} and {2}.

If you are really asking, then we can use the definition on Wikipedia page on "Smooth Number"s which defines it as:

"A positive integer is called B-smooth if none of its prime factors is greater than B."

As none of 1's prime factors are greater than 1, it is N-smooth for any N > 1.

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