Hello all.

        This idea is rather obvious, but I don't remember anybody 
mentioned it.

        The schema (exponent, residue) were good when a double 
check last a few days. But now, a lot of time can be saved on triple 
checks if the partial residue of every X iterations were logged. X 
could be a million or so. To avoid hard disk and network traffic 
bloating, take only 16 bits. The final residue would be as always, of 
course.

        When a discrepance is found, the double check stops (and 
starts another exponent) while other machine (with different 
sofware?) begins the triple check up the offending point, where we 
knows (hopefully) who made the mistake. If was the first check, the 
double check machine continues the LLTest were it stopped, using 
the intermediate files. If the double check machine is wrong, the 
triple check now turns to be a double check.

        Furthermore, it's reasonable to think that most errors on 
LLTests occurs early, due to buggy hardware. So, the average time-
saving would be more than 50% for faulty results.

        Saludos
                Oscar Fuentes

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