[Edu-sig] Mystery Number 6174

2008-07-06 Thread kirby urner
Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be the same one, may be distilled to 6174 by the following process: extract the

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Scott David Daniels
kirby urner wrote: Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be the same one, may be distilled to 6174 by the following

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[kirby urner] Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be the same one, may be distilled to 6174 by the following

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Massimo Di Pierro
This is interesting trying 7 digits 000 reached by 10 inputs 8429652 reached by 990 inputs The probability of a single fixed point in in 10**7 numbers is quite small. On Jul 6, 2008, at 4:32 PM, Tim Peters wrote: trying 7 digits 000 reached by 10 inputs 8429652 reached by

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Mark Tolonen
kirby urner [EMAIL PROTECTED] wrote in message news:[EMAIL PROTECTED] Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[Massimo Di Pierro] This is interesting [Tim Peters] trying 7 digits 000 reached by 10 inputs 8429652 reached by 990 inputs [Massimo] The probability of a single fixed point in in 10**7 numbers is quite small. Well, note that the program was looking for cycles, not for fixed

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[Tim Peters] ... trying 7 digits 000 reached by 10 inputs 8429652 reached by 990 inputs [Massimo Di Pierro] This is interesting The probability of a single fixed point in in 10**7 numbers is quite small. [Tim] [elaborates, but doesn't really explain anything ;-)] I think a key