Thinking out loud about getting under 20M unfactored exponents - Page 15

alpertron · 2020-07-11, 19:34

After running my Nvidia GTX 950 for 30 days, I was able to find more than 60 factors in the ranges 71->72 bits, 72->73 bits and partially in 73->74 bits, reducing the number of unfactored Mersenne numbers in the range 987.9M to 1999.

According to https://www.mersenne.ca/status/tf/0/0/4/98700, the number is 2001, but this includes the factored numbers M987977819 and M987976229 that were found after 00:00 GMT today, so the current number is 1999.

petrw1 · 2020-07-12, 02:15

Great...that's 1 less remaining.

Quote:

Originally Posted by alpertron

After running my Nvidia GTX 950 for 30 days, I was able to find more than 60 factors in the ranges 71->72 bits, 72->73 bits and partially in 73->74 bits, reducing the number of unfactored Mersenne numbers in the range 987.9M to 1999.

According to https://www.mersenne.ca/status/tf/0/0/4/98700, the number is 2001, but this includes the factored numbers M987977819 and M987976229 that were found after 00:00 GMT today, so the current number is 1999.

petrw1 · 2020-07-25, 02:11

It is 3 years since I took my first set of stat for this sub-project.
I didn't personally start working on it until 3 months later but others are always making progress.

Since last update (May 12)
11 more ranges cleared: 3.3, 30.6, 40.0, 45.3, 45.8, 50.2, 52.3, 52.9, 53.2, 53.9, 56.6
And 8 bonus ranges: 61.6, 65.4, 69.8, 71.8, 75.2, 78.2, 81.4, 86.3.
The 6 cleared in the 5x.xM and all the bonus ranges are a HUGE thanks to someone (who prefers to remain anonymous) who took up my challenge and cleared most of the STUBBORN ranges I mentioned a few posts above.

In the last 3 years:
177 total ranges cleared or 35.61%
14 Ranges with less than 20 to go.
945 more factored (24,026 total)....43.50% total factored.

Continuing to get lots of great help. THANKS

Thanks again for everyone contributing.

masser · 2020-07-30, 03:57

I've worked on the 14.0M range for the last 4 months: 43 factors found, with a mix of TF, P-1, and a little bit of ECM. We now have 200 to go for the under 2000 goal. If everything goes according to plan, I should complete this range in about 2 years.

petrw1 · 2020-07-30, 04:25

Quote:

Originally Posted by masser

I've worked on the 14.0M range for the last 4 months: 43 factors found, with a mix of TF, P-1, and a little bit of ECM. We now have 200 to go for the under 2000 goal. If everything goes according to plan, I should complete this range in about 2 years.

Yay

petrw1 · 2020-08-02, 05:07

29,xxx,xxx from 70-72 bits. (Only 8 and 16 GhzDays per)

Yee Haw.

Viliam Furik · 2020-09-24, 15:45

I have moved the entire range to 70-bits and found about 300 factors with mostly TF (about 250) and P-1 (about 50). It took me about a half year.

1028 factors left to find.

masser · 2020-09-24, 16:41

Quote:

Originally Posted by Viliam Furik

I have moved the entire range to 70-bits and found about 300 factors with mostly TF (about 250) and P-1 (about 50). It took me about a half year.

1028 factors left to find.

Nice job! What's next for you?

Viliam Furik · 2020-09-24, 17:23

Quote:

Originally Posted by masser

Nice job! What's next for you?

After I finish-off this range, I want to do the stubborn 42.6M range.

I was also thinking if it wouldn't be easier if instead of less than 2000 unfactored exponents we aimed for something like 40% unfactored. Well, it would certainly be easier, but the real question is whether it would be good enough...

petrw1 · 2020-09-24, 18:51

Quote:

Originally Posted by Viliam Furik

After I finish-off this range, I want to do the stubborn 42.6M range.

I was also thinking if it wouldn't be easier if instead of less than 2000 unfactored exponents we aimed for something like 40% unfactored. Well, it would certainly be easier, but the real question is whether it would be good enough...

I absolutely appreciate any and all help I get. I will suggest where I could use help but i'll never dictate what anyone works on. 40% is a round number and if you choose to stop there I won't complain but I'm still hooked on under 2000.

PS if you check for recent factors found under 80M you'll notice someone putting a lot of GPU power to the stubborn ranges. How long they stick around and whether 42.6 is in their sights remains to be seen.
Thanks again.

Uncwilly · 2020-09-24, 20:18

Also watch for where TJAOI is turning in factors. I think most recently it is in the 67 bit range. I saw some recently, I don't remember what exponent level.

2020-07-25, 02:11	#157
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 2³·569 Posts	3 Year Project Update It is 3 years since I took my first set of stat for this sub-project. I didn't personally start working on it until 3 months later but others are always making progress. Since last update (May 12) 11 more ranges cleared: 3.3, 30.6, 40.0, 45.3, 45.8, 50.2, 52.3, 52.9, 53.2, 53.9, 56.6 And 8 bonus ranges: 61.6, 65.4, 69.8, 71.8, 75.2, 78.2, 81.4, 86.3. The 6 cleared in the 5x.xM and all the bonus ranges are a HUGE thanks to someone (who prefers to remain anonymous) who took up my challenge and cleared most of the STUBBORN ranges I mentioned a few posts above. In the last 3 years: 177 total ranges cleared or 35.61% 14 Ranges with less than 20 to go. 945 more factored (24,026 total)....43.50% total factored. Continuing to get lots of great help. THANKS Thanks again for everyone contributing.

2020-07-30, 03:57	#158
masser Jul 2003 wear a mask 2⁴·97 Posts	43 down, 200 to go I've worked on the 14.0M range for the last 4 months: 43 factors found, with a mix of TF, P-1, and a little bit of ECM. We now have 200 to go for the under 2000 goal. If everything goes according to plan, I should complete this range in about 2 years.

2020-08-02, 05:07	#160
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 4552₁₀ Posts	Low bit level assignments now available. 29,xxx,xxx from 70-72 bits. (Only 8 and 16 GhzDays per) Yee Haw.

2020-09-24, 15:45	#161
Viliam Furik "Viliam Furík" Jul 2018 Martin, Slovakia 2·193 Posts	10M to 11M range I have moved the entire range to 70-bits and found about 300 factors with mostly TF (about 250) and P-1 (about 50). It took me about a half year. 1028 factors left to find.

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2020-07-11, 19:34	#155
alpertron Aug 2002 Buenos Aires, Argentina 17×79 Posts	After running my Nvidia GTX 950 for 30 days, I was able to find more than 60 factors in the ranges 71->72 bits, 72->73 bits and partially in 73->74 bits, reducing the number of unfactored Mersenne numbers in the range 987.9M to 1999. According to https://www.mersenne.ca/status/tf/0/0/4/98700, the number is 2001, but this includes the factored numbers M987977819 and M987976229 that were found after 00:00 GMT today, so the current number is 1999.

2020-09-24, 20:18	#165
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 2²·2,339 Posts	Also watch for where TJAOI is turning in factors. I think most recently it is in the 67 bit range. I saw some recently, I don't remember what exponent level.