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Old 2008-02-02, 23:15   #8
davieddy's Avatar
Dec 2006

145128 Posts

Originally Posted by S485122 View Post
Do not forget that earlier versions of the program Prime95 factored one bit higher... For the current range of exponents that would be up to 69 bits compared to 68 bits with version 24 of Prime95. That removes 1.5% of the difference.

I assume that you are using the "fact" that the probability of finding
a factor between 2^68 and 2^69 is ~1/68 ~1.5%.
But this accounts for 1.5% of the 40% of exponents which have no factor
below 2^68, i.e. 0.6% of all the prime exponents.
The discrepancy is bigger than this.

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