Getting others to do the work on exponents I like (was: Trial Factoring Progress)

[tuckerkao]

Originally Posted by xilman

Three porblems I suffer from with my tping is tranposition of two charactters, unwnated doubling of a key and ommission of a singel key.

Transpositions between 2 numerical digits will be the hardest to notice at times because the size of the exponent won't change a lot. Example: M168266023 and M168626023.

x10 the exponent, Prime95 won't run. 1/10 the exponent, they've all been tested.

[tuckerkao]

Originally Posted by chalsall

This is actually quite remarkable. You are actually a human.

I still don't understand your "upside". Clearly, you are working a "long game".

My upside is that if I project the timeline which I want to finish the specific sets of the works, I'll most likely to complete it before the due time.

Originally Posted by tuckerkao

I plan to solo debut the M168.4M subrange around noon server time of July 4th, 2022 as the tier 2⁷⁷ monopoly tycoon and ready for mass P-1. 1,630 exponents remain at 2⁷⁶ with 51 days to go from now on.

Only 52 unfactored M168.4M exponents remaining at 2⁷⁶, I originally projected to finish the entire subrange by around noon, July 4th 2022, so the final completion time will likely be really close. - https://www.mersenne.ca/status/tf/0/0/4/16800. Fortunately, 2014 exponents are without a known factor for M168.4M, not too far away from the below-2000 goal. It was 2082 at Jan 1st 2022 - https://www.mersenne.ca/status/tf/20220101/0/4/16800.

My downside is that I don't work well when too many other users are active within the same subrange.

[Uncwilly]

Originally Posted by tuckerkao

My downside is that I don't work well when too many other users are active within the same subrange.

So, if I start doing some random ECM in that range, you will leave it alone?

[tuckerkao]

Originally Posted by Uncwilly

So, if I start doing some random ECM in that range, you will leave it alone?

Yes, if it's after the noon of July 4th, 2022 server time and all the remaining 52 exponents finished because I'll then be moving to M168.5M.

I most prefer if Kriesel can run P-1 of those M168.4M exponents that already reached 2⁷⁷.

[Uncwilly]

Originally Posted by tuckerkao

Yes, if it's after the noon of July 4th, 2022 server time and all the remaining 52 exponents finished because I'll then move to M168.5M.

Or I can do ECM in the 168.5 range.

[tuckerkao]

Final time: At 18:04, July 3rd, 2022 server time, all unfactored M168.4M exponents have been trial factored up to at least 2⁷⁷, only 17 hours and 56 minutes earlier from my original prediction - noon, July 4th, 2022.

Originally Posted by mathwiz

No, it would be better for the GIMPS project if you worked at the current wavefront. You have repeatedly failed to provide mathematically valid evidence that your cherished 168M range is more likely to yield a Mersenne prime.

I like to have my own wavefront for the PRP-WR, it's okay if the crowds reach there 12 years later. I'm currently running the PRP test for M168365623.

M168366823 to M168501023 up to at least 2⁷⁷: 2 more to go -> M168370547 and M168371207.

M168501023 to M168533983 up to at least 2⁷⁶: Finished.

A solid column of exponents that are ready for PRP test - https://www.mersenne.org/report_expo...8369623&full=1

[tuckerkao]

Originally Posted by Zhangrc

Yes?
Draw your conclusion after everything in that range have been TFed to the desired level, 2^78.
There are currently 1000 exponents which have been TFed to 2^74, about 1000 to 2^76. TFing them to 2^78 will find about 75-80 more factors.

Everything has been trial factored up to at least 2⁷⁷, 2013 unfactored exponents remain at the moment, the F-PM1 below will likely be the keys to reach the final goal below 2000.

Given the pre-condition that all M168,4**,*23 are up to 2⁷⁹ or higher, the chance that the remaining 1935 exponents return less than 20 total factors from 2⁷⁷ to 2⁷⁸ is somewhat likely although less than 50%.


New F-PM1: M168470257

M168411823, M168416123, M168459923, M168483023, M168489323


M108.9M still has 2001 unfactored candidates because some users like curtisc haven't done P-1 stage 2.

[tuckerkao]

I got 1 new F-PM1 within M168.4M almost once every week.

M168431453 on July 30, 2022
M168406837 on July 23, 2022
M168465883 on July 15, 2022
M168470257 on July 07, 2022

2,010 unfactored M168.4M exponents remain as of now.

[tuckerkao]

Originally Posted by Uncwilly

Ok, let's teach you how to fish a little (learn how to estimate these numbers.)
So for the first step that I already did was to go to the work distribution map (here) and see how many exponents in the range are status unknown (no factor and no completed primality test.)
That figure is 20627.

Next step, let's see how many are at what bit depths. For the easy way we will go over to Mersenne.ca (https://www.mersenne.ca/status/tf/0/0/4/16800 ). We are going to be working with the larger number and then divide by 2 at the end.

15,895 are at 73 bits When those are take to 74 bits, about 1/74 (or more likely more like 1/80) will have a factor found. That is about 214.
That leaves 15681. Now we have to add the 466 that are already at 74 bits.
16,147 Take those to 75 bits and we will get about 215 factors. Add those already at 75 (182)
16,114 Take those to 76 bits, 212 factors, add those at 76 (4,058)
19,960 Take those to 77 bits, 259 factors, add those at 77 (15)
19,716 Take those to 78 bits, 252 factors, add those at 78 (16)
19,480.

Glad I found this post with all the old records there, I had the significant improvement during the past year.

The figure of 20,627 dropped to 20,115 which is only 5 shy of reaching the lowest unfactored stats from M160M to M170M.


If a new user checks this graph, he/she may wondering what have been going on? https://www.mersenne.ca/status/tf/0/0/3/16000

When observing the graph from M100M to M120M, there's a major irregularity going on - https://www.mersenne.ca/status/tf/0/0/2/10000

[tuckerkao]

Originally Posted by Uncwilly

So, if I start doing some random ECM in that range, you will leave it alone?

I hadn't heard a complain from you, so I guessed that you've already finished that ECM without my interference. If there are only 2 cars(you and me) driving on the same freeway, that chance of the direct crashing will be really low.

M168560809 was factored last hour, so the entire M168.5M subrange is on the edge of reaching the milestone of under 2,000 remaining unfactored exponents.

[Viliam Furik]

Originally Posted by tuckerkao

I like to have my own wavefront for the PRP-WR...

I propose the name "Great Wave of TuckerKao" - to be pronounced "Tuck-er-cow-uh" (a play on the name of the woodprint - Great Wave off Kanagawa) from the collection of "168 ranges of Mount Bullshit" (a play on the name of the collection - 36 views of Mount Fuji).

What do you think, forumites?