2014-02-24, 19:36 | #1 |
"Adolf"
Nov 2013
South Africa
5·13 Posts |
DC chance to find Mersenne Prime
Just out of curiosity.
Not taking into account different RES values between first and DC run, what is the chance that a DC run might actually show an exponent is a Mersenne Prime whereas the first run did not? Or will a prime always be found in the first run and only proofed in the DC run? |
2014-02-24, 20:25 | #2 | ||
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
11×389 Posts |
Quote:
Quote:
If you multiply the probability of the first test being wrong (usually ~4%, or 0.04) by the probability of the number being a Mersenne prime based only on the factoring work done (very small), you get the probability that a DC will result in a Mersenne prime. This can work out to something like 1 in 14584730 (which is the probability for a DC I just reserved to check it). Prime95 tells you this for numbers it's testing in its Test > Status window. Last fiddled with by TimSorbet on 2014-02-24 at 20:31 |
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