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 2015-10-30, 17:21 #1 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 5×953 Posts On to 999M -- to 70 Bits Basically I'm looking at the effort remaining to factor all exponents to 999M to 70 bits I defined the lower bound as 30M but since all exponents from 30M to 100M are already at 70 bits I am only looking at the 100-999M ranges. My spreadsheet takes the numbers from: http://www.mersenne.ca/status/tf/0/0/2/0 I've been ciphering and have a few months of stats now....since the above report has been accurate and complete: 1. I take the number of exponents currently at each bit level below 70; 2. I calculate the GhzDays to take those to the next bit level. To make it manageable I: -- use the GhzDays to TF the 'mean' exponent up 1 bit level -- multiple the count by that number -- and 'ass-u-me' that range will average out 3. Calculate the expected number to be factored and carry the remaining to the next bit level column 4. Continue up to to 70 bits. And here is a 3-month summary: Code:  66-Exp 66-Days 67-Exp 67-Days 68-Exp 68-Days 69-Exp 69-Days Total-Days Aug-24 8,762,562 351,170 14,371,316 1,135,950 16,599,700 2,491,221 16,636,680 5,019,375 8,997,716 Sep-30 7,931,520 312,019 13,685,155 1,103,546 16,485,174 2,473,561 16,527,300 4,987,211 8,876,337 Oct-30 6,996,815 275,606 13,337,018 1,086,349 16,373,884 2,457,974 16,405,450 4,946,490 8,766,419 The 66-Exp is the current number of exponents at the 66 bit-level. The 67-Exp is the current number at the 67 bit-level plus the expected exponents to move up as un-factored from the 66 bit-level. At the current linear rate of 100,000 GhzDays per Month we have over 7 years to go....Moore's Law to the rescue.
2015-10-30, 19:52   #2
chalsall
If I May

"Chris Halsall"
Sep 2002

32×5×13×17 Posts

Quote:
 Originally Posted by petrw1 At the current linear rate of 100,000 GhzDays per Month we have over 7 years to go....Moore's Law to the rescue.
A complete and utter waste of time of course.

But people should do whatever rocks their boat....

2015-10-30, 20:33   #3
petrw1
1976 Toyota Corona years forever!

"Wayne"
Nov 2006

10010100111012 Posts

Quote:
 Originally Posted by chalsall A complete and utter waste of time of course. But people should do whatever rocks their boat....
Completely agree .... and I have no intention of focusing any efforts there.
Though several are.

I just find it an "interesting" milestone to watch.

 2015-10-30, 23:29 #4 TObject     Feb 2012 34·5 Posts For 9E8 range (and maybe some lower ones too), I would recommend GPU trial-factoring bit levels 65 to 72 in one swoop. Otherwise more time is wasted loading and unloading, while taking the exponents one bit level at a time.
2015-10-31, 04:56   #5
LaurV
Romulan Interpreter

Jun 2011
Thailand

230608 Posts

Quote:
 Originally Posted by TObject For 9E8 range (and maybe some lower ones too), I would recommend GPU trial-factoring bit levels 65 to 72 in one swoop. Otherwise more time is wasted loading and unloading, while taking the exponents one bit level at a time.
Actually not, I didn't try mfakto on that, but mfaktc goes better if only to 70. Of course, the "less classes" version is a must here (or chose 420 classes if you use the version that lets you chose), to get a serious speedup. The one with 4620 classes seems indeed losing time with overhead when the time per class is very small.

OTOH, I share the opinion that is not worth to concentrate your resources there. If you "really" and "badly" need and want to do some LMH, better take all 332M to 80 bits or so. More useful for some big guns doing LL in that area.

But the best use of TF resources right now, yes, is the LL front, like 75M to 75 bits (or 74 bits only, if you have a card that is very good at LL/P-1/FFT, don't do the 75th bit, and better do some P-1 for the same expo instead).

Last fiddled with by LaurV on 2015-10-31 at 05:02

 2016-11-01, 16:15 #6 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 5·953 Posts As of 2016-11-01 I compute approximately 6.4M Ghz Days of work left. Code: YYYY-MM 67-Exp 67-Days 68-Exp 68-Days 69-Exp 69-Days Total-Days 2016-11 4,389,521 303,507 13,240,976 1,989,772 13,493,464 4,117,564 6,410,843
 2016-11-01, 17:25 #7 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 5·953 Posts To be fair ... and of more interest ... Here is the forum for finishing to 75Bits up to 100M http://www.mersenneforum.org/showthr...178#post446178
 2017-04-17, 03:48 #8 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 5·953 Posts As of April 16, 2017 Code: YYYY-MM 68-Exp 68-Days 69-Exp 69-Days Total-Days 2017-04 9844184 1541819.288 11028563.67 3526501.028 5,068,320.316
2017-04-17, 13:59   #9
Gordon

Nov 2008

3×167 Posts

Quote:
 Originally Posted by petrw1 I compute approximately 6.4M Ghz Days of work left. Code: YYYY-MM 67-Exp 67-Days 68-Exp 68-Days 69-Exp 69-Days Total-Days 2016-11 4,389,521 303,507 13,240,976 1,989,772 13,493,464 4,117,564 6,410,843
That's only 33 years (calendar) on a SINGLE gtx-970. Doesn't seem that daunting a task...

 2019-09-25, 04:32 #10 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 10010100111012 Posts And we're done. Only took 4 years and a bit. Note my initial estimate was 7 years so Moore did help.
 2019-09-25, 17:19 #11 ATH Einyen     Dec 2003 Denmark 52·127 Posts Current ranges for minimum factored bit depths: Code: 2^64: 0 M - 1000 M Link 2^65: 0.044 M - 1000 M Link 2^66: 0.380 M - 1000 M Link 2^67: 0.795 M - 1000 M Link 2^68: 1.5 M - 1000 M Link 2^69: 9.934 M - 1000 M Link 2^70: 19.965 M - 1000 M Link 2^71: 29.68 M - 200.1 M Link 2^72: 39.56 M - 180.3 M Link 2^73: 44.9 M - 100 M Link 2^74: 56 M - 94 M Link 2^75: 70 M - 93.52 M Link 2^76: 82.91 M - 93.04 M Link

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