[r-t] Conjectures

Philip Saddleton pabs at cantab.net
Sun Nov 21 13:28:37 UTC 2004

a) Stages at which an extension of a method exists are a finite set, 
plus an infinite arithmetic series (possibly omitting stages where the 
cycle lengths have certain factors - these in turn form infinite 
series). The step in the series has no factors that are prime powers 
exceeding the number of working bells.

b) The proportion of methods at a given stage that have valid extensions 
tends to zero as the stage increases.

c) The ratio of the number of methods that have valid extensions to the 
additional number that would be valid without (G)B1 tends to infinity as 
the stage increases.


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