> On Thu, Oct 26, 2006 at 09:26:01PM +0000, david eddy wrote:
> >  It figures that if one iteration has a non-sero probability of rounding 
> > error
> > then 30,000,000 of them will have 100% error rate.

> 
> You seem to be assuming that
> 
>   a) all iterations will have the same probability of rounding error, and that
>   b) the probabilities are independent.
> 
> I'm not sure if I want to accept any of those off-hand, especially as the end
> result doesn't go well with real-life data.
> 
> /* Steinar */

This was not  a proposition from  Wittgenstein:)

Under very general assumptions:
The chance of 30,000,000 successful iterations is zilch unless each
iteration is practically a certainty.

The point I have been trying to make is that IF the probability of an
erroneous LLtest for a particular exponent were say 5% for a particular
FFT length, then it would cost more time to test and check it using a
20% larger FFT (with negligible chance of error).
We may still prefer not to risk the 5% chance of error on a first time
LL test, but anyway the number of exponents involved in the debate
is negligible since the chance of error rises so abruptly from zero to 100%

David Eddy
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