[comp.theory] number theory teaser

news@ccncsu.ColoState.EDU (USENET News) (01/06/91)

DEFINITION:
 
                                    n
                                   2  m - 1
A convoluted number is in the form -------- where m is convoluted and
                                       3
 
the quantity and variables are natural numbers.
 
 
 
CLAIMS:
 
1. Every odd natural number is convoluted,
2. in only one way;
3. hence the `3n+1' algorithm terminates.
From: ld231782@longs.LANCE.ColoState.Edu (Lawrence Detweiler)
Path: longs.LANCE.ColoState.Edu!ld231782



ld231782@longs.LANCE.ColoState.EDU