On 23 Jul 2001, at 19:13, CARLETON GARRISON wrote:
> The name of the game is validate - by duplication. You cannot
> make a
> case without duplicating the result. This is to safeguard against the
> many gremlins that can occur - faulty overclocked CPUs, etc.
But the only thing that goes wrong if a factor is missed is that a LL
test gets run unneccessarily. It simply isn't worth rerunning all the
factoring on the offchance that a small number of runs will "glitch"
& miss a factor.
If the error rate of LL tests is about 1% then P-1, being much
shorter, should be less than 0.1%. Trial factoring doesn't use the
FPU much, so the processor will probably run much cooler & errors may
be even less likely than that.
The point is that _even if factoring is omitted altogether_ LL & DC
will still eliminate a composite number. The purpose of doing
factoring is to _save time_ by eliminating LL testing for those
numbers where finding a factor is "cheap enough" to be "cost
effective".
> If
> someone finds a factor, someone ofer a PrimeNet can do a single
> division case and confirm the result.
The server already does that automatically! The time required to
_check_ a factor is miniscule.
Regards
Brian Beesley
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