Hi,
At 07:35 PM 2/26/99 -0800, Spike Jones wrote:
>How about sweetening the pot for anyone who is doing double checking
>that discovers a mistake in the first LL analysis? How does this work?
>The first LL test returns a residual, then the double checking
>routine takes that residual and... what? How often is a result
>overturned by double checking?
>From your point of view a double-check is just like a first time test.
You run a Lucas-Lehmer test and when done send in your 64-bit residue.
I compare that residue to the first run and if they match, the exponent
is declared double-checked. If they don't match, a third test is run
to properly double-check the number.
Finding an error in the first LL test is not rare. I've said about 1 in
200 are incorrect. When the entire 1,400,000 - 2,000,000 range has
been double-checked I'll perform some more rigorous analysis of the
reliability of first-time LL results.
Best regards,
George
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