On 8 Mar 00, at 15:29, Henrik Olsen wrote:

> finding factors only seems to come in cluster, but the other two does
> haver mechanisms that does make them actually cluster up.

I was using "random" in a loose sense, in the sense that I'd loosely 
refer to the digits of the decimal expansion of pi as being random. 
They may indeed pass all known tests for random sequences, but 
nevertheless form a very definitely non-random sequence.

(a) I think I've mentioned the theory of bus clumping on this list 
before.

(b) It's more than likely that aircraft accidents seem to be more 
densely clustered than they really are. In the wake of a major 
disaster, any minor incident involving the same operator or aircraft 
type is likely to be reported, whereas normally the media might not 
be interested in an incident causing very little damage and no 
casualties. 
In fact you can bet that, once a fault comes to light (whether caused 
by design, maintainance or operator error), extra checks are put in 
place very quickly. My guess is that the DC9/DC80/Boeing 717 family 
probably have the _safest_ horizontal stabilizer systems in the air 
at the moment, following the recent loss of the Alaskan aircraft off 
California.

(c) the fact that we can't predict beforehand which Mersenne numbers 
yield easily to trial factoring doesn't mean that there isn't a non-
random mechanism in effect. It might be that we're too dumb to have 
found it yet!


Regards
Brian Beesley
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