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Old 2014-09-06, 05:02   #1
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Jun 2010

2·467 Posts
Default Attempts vs. Successes oddity

Over time I've developed a sense of the GPU factoring process, including an idea of the general proportion of TF exponents that come out as Not Prime and how long (in GHz-Days) it takes to factor to various exponent levels.

Thus, for example, I can grasp how "dbaugh," who stands at #5 on the Top Trial Factoring Producers list, could have such a large number of GHz-Days for the small number of TF attempts: I attribute this to factoring to very deep levels. (Right?)

However, there is one remarkable phenomenon that leaves me scratching my head. How can #16, Bill Staffen, have found only 2 factors in more than eight thousand tries? Is it simply bad luck, or can someone explain (in not too-technical terms -- I'm no mathematician ) how that can be?

Typical success seems to run in the 1 - 1.5 percent range. How does one manage to get less than 0.025 percent? What exponent range and to what levels might one work on to achieve this?

Just curious...


Last fiddled with by Rodrigo on 2014-09-06 at 05:04 Reason: added hyperlink
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