20151030, 17:21  #1 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2·3^{2}·11·23 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 100999M 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 'assume' 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 3month summary: Code:
66Exp 66Days 67Exp 67Days 68Exp 68Days 69Exp 69Days TotalDays Aug24 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 Sep30 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 Oct30 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 67Exp is the current number at the 67 bitlevel plus the expected exponents to move up as unfactored from the 66 bitlevel. At the current linear rate of 100,000 GhzDays per Month we have over 7 years to go....Moore's Law to the rescue. 
20151030, 19:52  #2 
If I May
"Chris Halsall"
Sep 2002
Barbados
2509_{16} Posts 

20151030, 20:33  #3 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2·3^{2}·11·23 Posts 

20151030, 23:29  #4 
Feb 2012
3^{4}·5 Posts 
For 9E8 range (and maybe some lower ones too), I would recommend GPU trialfactoring 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.

20151031, 04:56  #5  
Romulan Interpreter
Jun 2011
Thailand
5^{2}×7×53 Posts 
Quote:
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/P1/FFT, don't do the 75th bit, and better do some P1 for the same expo instead). Last fiddled with by LaurV on 20151031 at 05:02 

20161101, 16:15  #6 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2·3^{2}·11·23 Posts 
As of 20161101
I compute approximately 6.4M Ghz Days of work left.
Code:
YYYYMM 67Exp 67Days 68Exp 68Days 69Exp 69Days TotalDays 201611 4,389,521 303,507 13,240,976 1,989,772 13,493,464 4,117,564 6,410,843 
20161101, 17:25  #7 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×3^{2}×11×23 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 
20170417, 03:48  #8 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×3^{2}×11×23 Posts 
As of April 16, 2017
Code:
YYYYMM 68Exp 68Days 69Exp 69Days TotalDays 201704 9844184 1541819.288 11028563.67 3526501.028 5,068,320.316 
20170417, 13:59  #9 
Nov 2008
3·167 Posts 
That's only 33 years (calendar) on a SINGLE gtx970. Doesn't seem that daunting a task...

20190925, 04:32  #10 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2·3^{2}·11·23 Posts 
And we're done.
Only took 4 years and a bit.
Note my initial estimate was 7 years so Moore did help. 
20190925, 17:19  #11 
Einyen
Dec 2003
Denmark
3,037 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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