mersenneforum.org "successes" in DC rankings?
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 2011-01-30, 22:05 #1 ixfd64 Bemusing Prompter     "Danny" Dec 2002 California 11×13×17 Posts "successes" in DC rankings? This is probably a stupid question, but what is a "success" supposed to mean, in the context of double-checking? For example, the rankings page shows that I have 6 "successes" out of 7 attempts. At first, I thought the difference was due to incorrect results. However, all of the seven double checks I have done over the last year have matching residues. I am a bit confused.
 2011-01-30, 22:40 #2 Prime95 P90 years forever!     Aug 2002 Yeehaw, FL 25×35 Posts A success is a matching residue at the time you submit the result
 2011-01-31, 16:16 #3 ckdo     Dec 2007 Cleves, Germany 2×5×53 Posts This is actually pretty simple: No matter what the work type, a "success" is a result which saves any further work on the exponent - proving it prime or not prime (by matching residues or finding a factor). ECM-F is a bit special in that even if we find a factor we continue to search for more of them, since the goal is to fully factor the numbers (isn't it?).
2011-01-31, 16:21   #4
Mini-Geek
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"Tim Sorbera"
Aug 2006
San Antonio, TX USA

4,271 Posts

Quote:
 Originally Posted by ckdo This is actually pretty simple: No matter what the work type, a "success" is a result which saves any further work on the exponent - proving it prime or not prime (by matching residues or finding a factor). ECM-F is a bit special in that even if we find a factor we continue to search for more of them, since the goal is to fully factor the numbers (isn't it?).
For successes in DC or TF, yes. For successes in ECM and first-time LLs, it's not that simple. For ECM, either Mersenne or Fermat, factorization continues since we want to fully factor the numbers, except when the cofactor is PRP/prime. For first-time LLs, a success means a prime, and that actually means more work will be done on the number than if it were a composite result, because multiple double checks on different software and hardware are run, plus the man-time of announcing the prime and listing it (except for the rare exceptions where 4 or more tests would need to be run on a composite number to get a matching residue: then they're closer to the same, and the composite result might have taken more CPU time in the end). If you're looking for a short definition, a success could be described as "a positive result" (whatever that means for the work type).

Last fiddled with by Mini-Geek on 2011-01-31 at 16:30

 2011-01-31, 16:57 #5 ckdo     Dec 2007 Cleves, Germany 2×5×53 Posts I was speaking only in the context of PrimeNet. Prime verification is a manual effort done using different software, like you said. Similarly, finding a factor (by whatever method) will remove an exponent from the assignment pool, except for Fermat numbers. You can go hunting for further factors on Mersenne numbers (again, by whatever method), but you will have to manually assemble a worktodo file - those exponents won't be handed out automatically and are not available via the Manual Assignments form either.
 2011-01-31, 19:44 #6 ixfd64 Bemusing Prompter     "Danny" Dec 2002 California 11×13×17 Posts Thanks, George. That clears things up.

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