WE MADE IT!!!!!!!!!!!!!!!!!!!!!!

[MooMoo2]

Originally Posted by MooooMoo

I put a brief description of our project in my (late) official press release a few posts ago. Here are the project's stats (PrimeGrid and TPS combined):

- Number of users: 287
- Number of users who tested at least 1M: 129
- Number of users who found at least 1 prime: 91
- Number of non-twin primes found: 502
- Number of primes found by PrimeGrid: 304
- Number of primes found by TPS: 198
- Number of ranges complete: 1176M by TPS, 1620M by PrimeGrid, 2796M total
- Number of candidates tested: 1,006,560
- Average prime density: 1 prime every 5.57M
- Total amount of computing power: 315 P-90 CPU years (or 3.03 Pentium 4 CPU years (3.4 GHz))
- Days needed to find a twin: 277
- Time needed to find a twin: 9 months and 2 days
- Average prime discovery rate: 1.81 primes per day
- Average range completion rate: 10.09M per day
- Progress towards completing the whole 25G range: 11.18%
- Probability that a twin would be discovered after searching only 2796M: 22.1%

Those stats were correct at the time the twin was found. After that, PrimeGrid did some of the leftover, remaining LLR tests. The complete stats for n=195000 (including the work done after the twin was found) is:

- Number of users: 287
- Number of users who tested at least 1M: 129
- Number of users who found at least 1 prime: 91
- Number of non-twin primes found: 551
- Number of primes found by PrimeGrid: 353
- Number of primes found by TPS: 198
- Number of ranges complete: 1176M by TPS, 2150M by PrimeGrid, 3326M total
- Number of candidates tested: 1,197,360
- Average prime density: 1 prime every 6.04M
- Total amount of computing power: 375 P-90 CPU years (or 3.61 Pentium 4 CPU years (3.4 GHz))
- Days needed to find a twin: 277
- Time needed to find a twin: 9 months and 2 days
- Average prime discovery rate: 1.99 primes per day
- Average range completion rate: 12.01M per day
- Progress towards completing the whole 25G range: 13.30%
- Probability that a twin would be discovered after searching only 2796M: 22.1%

[jmblazek]

Originally Posted by MooooMoo

Those stats were correct at the time the twin was found. After that, PrimeGrid did some of the leftover, remaining LLR tests.

The stats were estimated at the time...underestimated. To only count tests from completed (green) ranges ignores all the tests that were completed in the incomplete (yellow) ranges. A 1M range will remain incomplete (yellow) even if 355 out of 356 tests have been completed.

While it's not all that important, the real stats at the time of the twin find lie somewhere between the estimated and complete stats. Anyways, it only affects primes found and tests completed...and a few of the percentages.

What's important is that a record twin was found!!!

p.s. The "Probability that a twin would be discovered" was not updated in the complete stats. Also, the M completed was 2207 and not 2150M. As the sieve depth got deeper, the density of k per M changed.