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Old 2021-08-18, 15:59   #243
tuckerkao
 
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Quote:
Originally Posted by drkirkby View Post
I don't know what "built a skyscraper" was supposed to mean.
I guess you probably haven't played many different versions of the Monopoly board game. There are flat land, 1 house, 2 houses, 3 houses, 4 houses and a hotel which equals to 5 houses. The skyscraper equals to 6 houses in the Mega Monopoly edition. I've thought that every bit of trial factoring done by me add a house to that specific property or exponent. P-1 and P+1 also stack up the task towers. If I finish up the trial factoring of an entire block such as M168,202,000 to M168,203,000, then I own an avenue like a whole set of properties in Monopoly.

I've only believed it's very cool to own an entire Mersenne block of the exponents like Roland Clarkson from M160,374,000 to M160,375,000, mostly written in his big name.

Everybody prefers different works I guess. When more exponents under M200M are factoring up to the recommended bits with the corresponding P-1 done, UncWilly is more pleased since the waves of the crowds will reach there within at most a decade anyway. For exponents slightly larger than M332M, efficiently finish up the trial factoring to 2^81 will take a more advanced GPU.

The TF and P-1 tasks I wrapped up in the M168M are there forever. If the new factors are found, then those add up to the total which my father requires to me to have before asking for a new very high end PC.

Quote:
Originally Posted by Uncwilly View Post
A minor quibble. exponents in the 105M range vs the 110M or 115M range have basically no difference in probability of being a prime. While one might be able to calculate a theoretical difference, the difference is too slight to have a practical consideration, and so far the primes are so scattered and random that we have little real clue when one might be 'due'.

His kit, his joy.
Until someone reveals the next hidden Mersenne Prime, there's really no correct or incorrect ranges to work on. Why should everybody be crowded in the same area with so many rules to follow while other areas are nearly empty?

I don't want to end up poaching lots of Mersenne exponents just because I like certain numerical combinations better. Most M168M exponents are not assigned to others with the extra restrictions to me.

I only want to establish a headquarter for myself on M168202123 where I perform every type of task to the higher levels, bits or bounds, at least the upcoming missions and tasks will be easier according to the mechanisms in some of the video games I play. Exploring the archaeological treasures are more doable with a taller central operation building nearby the digging sites.

There's a moderator named M344587487 in this forum, he has his very own exponent to specially represent him.

Last fiddled with by tuckerkao on 2021-08-18 at 16:38
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Old 2021-08-18, 18:22   #244
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Quote:
Originally Posted by tuckerkao View Post
Until someone reveals the next hidden Mersenne Prime, there's really no correct or incorrect ranges to work on. Why should everybody be crowded in the same area with so many rules to follow while other areas are nearly empty?
Most people crunch what is doled out by the PrimeNet server, be that automatic or manual. I believe this how, by and large, all of GIMPS primes have been discovered. The herd wins every time.
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Old 2021-08-18, 22:47   #245
tuckerkao
 
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Quote:
Originally Posted by paulunderwood View Post
Most people crunch what is doled out by the PrimeNet server, be that automatic or manual. I believe this how, by and large, all of GIMPS primes have been discovered. The herd wins every time.
I won't concede until Mersenne.org officially post "All exponents below 169 million tested at least once." on the milestone page.

I'll patiently wait for an answer until year 2027.

Quote:
Originally Posted by mathwiz View Post
Dormammu tuckerkao, I've come to bargain!

Here's my deal: post here (or in the other thread, as Uncwilly allows), FIVE guesses from your sacred 168M "dozenal" range. I'll run them on an A100 GPU instance, should only take a few days.
The dozenal numerology I've used told me all the Mersenne exponents from the current wave front up to M167999989 will be composite.

Let me finish my skyscraper headquarter on M168202123 first. Maybe own an entire avenue there soon. Search efforts should be easier afterwards for the gaming concepts mentioned above.

So I just got NF-PP1 on M168202123, it showed the result "Start=2/7, B1=1600000, B2=65000000", why my previous NF-PM1 counted as 1/7? I'd like to know the chance of it being a hidden Mersenne Prime at this point using UncWilly's knowledge.

Quote:
Originally Posted by drkirkby View Post
I don't know what "built a skyscraper" was supposed to mean. All I wanted to do was benchmark testing exponents on my computer, using different amounts of RAM (8, 16 , 32, 64, 128, 256 and 320 GB), and different amounts of "saved tests" (1.0, 1.05 and 2) then see what gave the maximum performance, based on maximising the equation:
Upon your so many NF-PM1 entries, the exponent block of M105211111 grew so tall that it occupied almost my entire screen resolution, thus as tall as the World Trade Skyscrapers in Cities: Skylines.

Last fiddled with by tuckerkao on 2021-08-18 at 23:17
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Old 2021-08-19, 00:12   #246
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Quote:
Originally Posted by tuckerkao View Post
The dozenal numerology I've used told me all the Mersenne exponents from the current wave front up to M167999989 will be composite.

Let me finish my skyscraper headquarter on M168202123 first. Maybe own an entire avenue there soon. Search efforts should be easier afterwards for the gaming concepts mentioned above.

So I just got NF-PP1 on M168202123, it showed the result "Start=2/7, B1=1600000, B2=65000000", why my previous NF-PM1 counted as 1/7? I'd like to know the chance of it being a hidden Mersenne Prime at this point using UncWilly's knowledge.
This is barely even English. What are you even attempting to say?

Are you accepting my offer or not?
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Old 2021-08-19, 00:54   #247
tuckerkao
 
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Quote:
Originally Posted by mathwiz View Post
This is barely even English. What are you even attempting to say?

Are you accepting my offer or not?
Not now, I have to finish the PRP of M168202123, bringing all the M168,***,*23 to at least 2^75 before I jump into that step. Give me some time to factor up more candidates to 2^78. If I don't have enough clues about the existing factors from both TF and P-1, I can easily lose a bet to you.

Here's my current list, I want to ring out all the F-PM1 before risk the 5 on you. I already booked room 202 for myself.


Available M168,***,123 candidates as of 08/19/2021

043, 062, 080
133, 139, 140, 160, 163, 175, 184, 196, 199
217, 251, 253
311, 316, 377
416, 442, 461, 464, 484, 485
505, 506, 526, 530, 548, 595
602, 607, 638
710, 752, 776, 784, 791
871, 883, 898
922, 931, 932, 934, 937, 965

The red fonts indicate that the exponent is PRP Ready.

Last fiddled with by tuckerkao on 2021-08-19 at 01:49
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Old 2021-08-23, 03:41   #248
tuckerkao
 
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Quote:
Originally Posted by kriesel View Post
RTX2080
TF 2623.5, 12.202, 215
LL 60.5, 0.301, 215
ratio TF/LL per day = 2623.5 / 60.5 = 43.36; log2(43.36) ~5.4 bits more TF depth than for cpu factoring
306.08/2623.5 = 0.117 days to TF 77-78 estimate for 100M exponent (2.8 hours)
381.39/60.5= 6.3 days estimate to LL
This gpu should be used on TF, not P-1 or primality testing
2 of my friends from the same family have a 3080 Ti and a 3070 Ti, bring up the TF bits seem to be only a piece of cake there. For some reason, even they want to topple my main skyscraper down by finding a factor on that specific exponent. They still want to try on the higher bits during another free weekend. My dozenal math have surely caused other people the desires to react strongly towards me, either feel extremely weird or laugh endlessly.

All I said was "My dozenal math indicates that the primitivity of M168202123 is very high."

This is what I've meant for an Avenue -> https://www.mersenne.org/report_expo...8203000&full=1. I'll start to write my name on all the unfactored exponents within this range. M168202123 stands tall as of today. No signs of any factor locates nearby my current working area. I'll keep up the fun with more TF on other M168,202,*** exponents to own the entire thousand range.

Both ViliamF and you tried on M103237441, it survived nicely until the completion of the PRP test.

Quote:
Originally Posted by mathwiz View Post
That's fortunate, since you're not going to guess the correct exponent!
If I have the chance to launch 1,000 attempts, enough to finish all the M168,***,*23 candidates. I'll be a different story.

Unfortunately I don't have friends who own AMD Radeon 6900 XT, thus I must do the PRP myself. Gamers typically prefer a fast Nvidia GPU with a mid-end AMD Ryzen 5600 CPU.

By the way, I found another factor between 2^75 to 2^76 on M168412721 yesterday.

Last fiddled with by tuckerkao on 2021-08-23 at 04:40
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Old 2021-08-23, 10:27   #249
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Quote:
Originally Posted by tuckerkao View Post
All I said was "My dozenal math indicates that the primitivity of M168202123 is very high."
Is that even a known math term? If so kindly provide a link to a good definition.
Quote:
Both ViliamF and you tried on M103237441, it survived nicely until the completion of the PRP test.
Raydex's M52 guess was proven wrong in ~37 hours from the guess post. It had nothing to do with you.

Last fiddled with by kriesel on 2021-08-23 at 10:36
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Old 2021-08-23, 10:30   #250
tuckerkao
 
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Quote:
Originally Posted by kriesel View Post
Do you mean estimate that 154,900,853 <= exponent p (for Mp#52* = 2p - 1) <= 540,044,243?
(Mp#52* is a quite large number, of more digits than Mp#51*'s over 24 million; M52 = 252 -1 is composite)
M154900853 has a known factor.
M540044243 has a known factor.
I prefer to set the range using exponents without the known factors such as M154900667 < Mp#52* < M181503583
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Old 2021-08-24, 05:25   #251
tuckerkao
 
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Quote:
Originally Posted by chalsall View Post
What is the sound of one hand clapping?
You can still clap with the 4 fingers on the lower part of only 1 hand palm.

Isn't Drkirkby's 20 consecutive NF-PM1 benchmark testing on M105211111 like this too? I want the NF-PP1 skyscraper similar to his NF-PM1 tower model.

It takes 39 hours to finish 1 NF-PP1 and 24.0 days to complete the PRP on Intel Core i7 4930k for M168202123. So if it only takes 12 hours on a friend's machine or a PC in the computer lab, then the PRP of the same exponent can be done with around 7.38 days. AMD Threadripper 5970X suppose to be almost twice powerful as Ryzen 5600X. If Windows 11 can handle 32 threads on Prime95, then running lots of M168M PRPs shouldn't a hard task at all.

I don't want to try PRPs outside my home, it can take a long time to upload the proof file especially without AMD Radeon 6900 XT, but NF-PP1 only takes seconds to code in.

Quote:
Originally Posted by axn View Post
For the same amount of TF/P-1 done, a 105M exponent has a roughly 10% higher (a priori) probability of being prime compared to a 115M exponent. Just sayin'.
EDIT:-

Looks at thread title
Let's wait for another year, if not at least 1 new Mersenne Prime drops down within this range, then the probability is likely only the audience polls collected from the public resources.

Quote:
Originally Posted by drkirkby View Post
I would give you my thoughts on buying computers on a limited budget. You are better off not buying the fastest available, as you pay a hefty premium for a little extra speed. Over the course of the years, you will get more work done by keeping away from the very latest chips, but upgrading more frequently. If you have $4000 to spend, and intend upgrading in 4 years, that has cost you $1000/year. If instead you spend $2000 today, and another $2000 in 2 years time, it will have cost you the same over 4 years, but you will get better throughput. A $2000 computer in 2 years time is likely to have much better performance than a $4000 computer today.
I sometimes make unusual deals with my friends such as they can put their sweat shirts on my face if a factor is found on M168202123. The key is to be able to access more computing powers although with a chance to pay a price in a different way.

I made up my mind that I'll get AMD Radeon 6900 XT after its price drops down to $999 or less unless AMD Radeon 7900 XT releases early in 2022.

Quote:
Originally Posted by kriesel View Post
Is that even a known math term? If so kindly provide a link to a good definition.
Primitive seems to be a functional math term: https://en.wikipedia.org/wiki/Primitive

The primitive triangles in particular link to the basic ratios of the numbers.

Last fiddled with by tuckerkao on 2021-08-24 at 06:24
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Old 2021-08-24, 12:54   #252
tuckerkao
 
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Someone just finished a huge PRP test with only TF up to 2^73 and little P-1 done.

M166072189

Interestingly this man doesn't get the scrutiny check like I do.
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Old 2021-08-24, 21:41   #253
tuckerkao
 
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Quote:
Originally Posted by Dobri View Post
The Mersenne prime exponents in the list {5, 7, 13, 19, 31, 61, 1279, 4423, 110503, 132049, 20996011, 24036583, 74207281}, except 5, are of the type 6k+1.
The Mersenne prime exponents in the list {3, 5, 17, 107, 521}, except 3, are of the other remaining type 6k -1.
This is exactly the reason why I believe M168202123 has the much stronger prime-like characteristics than M168173321.

The dozenal base categorizes those further into (5, 7) enders and (Ɛ, 1) enders.

Any M168,***,*23 if locates within a twin prime set must be the upper exponent because all the M168,***,*25 are obvious composites.

Last fiddled with by tuckerkao on 2021-08-24 at 21:45
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