Re: Mersenne: Re: Smooth and hairy numbers
I would be more worried about a more exact definition of the word small. -Original Message- From: Robert G. Wilson v [EMAIL PROTECTED] To: [EMAIL PROTECTED] [EMAIL PROTECTED] Cc: [EMAIL PROTECTED] [EMAIL PROTECTED]; [EMAIL PROTECTED] [EMAIL PROTECTED]; [EMAIL PROTECTED] [EMAIL PROTECTED]; [EMAIL PROTECTED] [EMAIL PROTECTED] Date: Monday, February 14, 2000 1:14 PM Subject: Re: Mersenne: Re: Smooth and hairy numbers I would think that 2^727 -1 would qualify as hairy. [EMAIL PROTECTED] wrote: If smooth numbers are ones whose prime factors are all small, what then are hairy numbers? Is there an official definition? "And Jacob said to Rebekah his mother, Behold, Esau my brother is a hairy man, and I am a smooth man:" (Gen. 27:11) George S. _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Re: Mersenne: Re: Smooth and hairy numbers
I would think that 2^727 -1 would qualify as hairy. [EMAIL PROTECTED] wrote: If smooth numbers are ones whose prime factors are all small, what then are hairy numbers? Is there an official definition? "And Jacob said to Rebekah his mother, Behold, Esau my brother is a hairy man, and I am a smooth man:" (Gen. 27:11) George S. _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Re: Mersenne: Re: Smooth and hairy numbers
On Thu, 03 Feb 2000, [EMAIL PROTECTED] wrote: If smooth numbers are ones whose prime factors are all small, what then are hairy numbers? Is there an official definition? "And Jacob said to Rebekah his mother, Behold, Esau my brother is a hairy man, and I am a smooth man:" (Gen. 27:11) Also, Greek has smooth and rough breathing, called psilé kai daseia. Daseia means hairy. I looked in Eric Weisstein's World of Mathematics and found no hairy numbers. There are, though, a Hairy Ball Theorem (the hair has to have a whorl or other singularity somewhere) and Haar integral, function, measure, and transform (one cycle of a square wave at a power-of-two frequency). phma _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Mersenne: Re: Smooth and hairy numbers
If smooth numbers are ones whose prime factors are all small, what then are hairy numbers? Is there an official definition? "And Jacob said to Rebekah his mother, Behold, Esau my brother is a hairy man, and I am a smooth man:" (Gen. 27:11) George S. _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
