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Old 2021-11-28, 10:02   #419
jnml
 
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Quote:
Originally Posted by paulunderwood View Post
Gender populations are not 50::50. Most forumites here happen to be male. Some people like to identify as non-binary gender. "Dobri" is mainly a man's name. Like your guess at 168Mb for the next Mersenne prime, you are downright bad at guessing
How in the world is this related to the math-speak opening sentence "Let's have a population of size N, where N/2 are males and N/2 are females."?

Have you heard physics say "Let's assume a spherical cow"?
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Old 2021-11-28, 12:03   #420
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Originally Posted by Dobri View Post
...only Charybdis could eventually be a female I had the pleasure to exchange opinions with.
Sorry to disappoint you.

Robert

[Don't want to start any arguments about whether I could *eventually* be a woman...]
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Old 2021-11-28, 12:15   #421
Viliam Furik
 
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Originally Posted by jnml View Post
You missed the point I was trying to make. It was not about male/female. You can imagine zero bits and one bits. Black and white
marbles, red and blue cubes, whatever.

I was talking about math and the interesting property of the setup when you're stuck with the 50% outcome _regardless_ of whatever
you try. You cannot make it better and you cannot even make it worse would you intent to.

(The idea came to me recently when thinking - I'm a programmer - about an OTP-less encryption scheme that attempts to output
what appears as close to white noise as possible while still carrying information in [almost] every bit.)
In that case, your post was very off-topic.
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Old 2021-11-28, 12:39   #422
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Originally Posted by Viliam Furik View Post
In that case, your post was very off-topic.
OMG, what's going on here? We're on a math forum, the conversation in this thread reminded me of a recently thought about
mathematical peculiarity and I shared the interesting result that was not immediately obvious to me.

IMO, off topic were all the reactions to my post so far.
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Old 2021-11-28, 14:42   #423
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Quote:
Originally Posted by jnml View Post
How in the world is this related to the math-speak opening sentence "Let's have a population of size N, where N/2 are males and N/2 are females."?

Have you heard physics say "Let's assume a spherical cow"?
Sorry for the confusion. I was just referring to Tucker's blunder in general.
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Old 2021-11-28, 15:34   #424
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Originally Posted by tuckerkao View Post
Since M168620423 had the correct PRP result after curtisc's successful cert, my machine hadn't generated a single bad PRP test result.
<snip>
It's interesting that the PRP cert took curtisc nearly 9 full hours to finish.
What might be interesting, or at least illustrative, would be to compare the actual amount of computing (GHz hours) required for the CERT compared to that for the PRP test. I can't compare elapsed times, since I don't know the elapsed time for the PRP test, but that's OK since the comparison wouldn't mean anything without knowing the relative speeds of the machines.
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Old 2021-11-29, 03:10   #425
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I noticed that Dobri worked on both the trial factoring and P-1 of M168000179 and M168000181 during the past few days. There's no need to recheck the lower TF bits under 2^63, they've all been done by other users before and the server had them cleaned up to shorten the result lists. GPU72 recommends all the M168M exponents to be trial-factored up to at least 2^78.

SRBase is currently mass-factoring M162M and will likely to reserve and reach M168M within a week or 2. I prefer Dobri to work on the areas where the trial factoring bits have already been done to the higher bits first, so SRBase won't run into Dobri's works during Dec 2021. The entire M168M range should be covered up to at least 2^74 once SRBase finishes them(estimate by Dec 30, 2021).

Dobri can safely work on the exponents below since their pre-finished bit levels are higher than SRBase's assignments(2^73 to 2^74).
https://www.mersenne.org/report_expo...8174000&full=1
https://www.mersenne.org/report_expo...8190000&full=1
https://www.mersenne.org/report_expo...8203000&full=1
https://www.mersenne.org/report_expo...8287000&full=1

Dobri still needs to run the P-1 of M168173549 after TF up to 2^78 to wrap up this property.

Quote:
Originally Posted by Dobri View Post
Out of only 11 palindromic prime exponents in the 168,xxx,xxx range (M168151861, M168191861, M168232861, M168404861, M168505861, M168515861, M168565861, M168818861, M168898861, M168929861, and M168949861), for just one (M168929861) the corresponding Mersenne number resists factorization so far. It is nice to see that tuckerkao started TF testing on it too.
It might be a symbolic exponent which indicate the hidden Mersenne Prime is close by or in it's similar forms of the numerical arrangements such as M168929023.

There's a symmetrical numerical layout that sticks into the M168,***,*23 format -> M168828823 which I plan to work on myself around later tomorrow.

Last fiddled with by tuckerkao on 2021-11-29 at 03:59
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Old 2021-11-29, 04:48   #426
Uncwilly
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Quote:
Originally Posted by tuckerkao View Post
It might be a symbolic exponent which indicate the hidden Mersenne Prime is close by
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Old 2021-11-29, 05:35   #427
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Quote:
Originally Posted by tuckerkao View Post
... I prefer Dobri to work on the areas where .....
Living up to the thread title.
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Old 2021-11-29, 05:39   #428
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Originally Posted by VBCurtis View Post
Living up to the thread title.
s/up/down/
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Old 2021-11-29, 10:15   #429
Dobri
 
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Quote:
Originally Posted by tuckerkao View Post
I noticed that Dobri worked on both the trial factoring and P-1 of M168000179 and M168000181 during the past few days.
...
Dobri still needs to run the P-1 of M168173549 after TF up to 2^78 to wrap up this property.
...
It might be a symbolic exponent which indicate the hidden Mersenne Prime is close by or in it's similar forms of the numerical arrangements such as M168929023.
Add also M168000193 to that (M168000179 and M168000181). These three exponents are at the wavefront of your headquarters.
Even though it is not recommended, redoing TF tests might reveal undetected small factors in rare cases. Running occasionally TF tests up to 2^72 is not time consuming even on my old computers.
I will run a P-1 test on M168173549 indeed.
If the trial factoring of the palindromic 'symbolic exponent' M168929861 does not reveal a factor, then I may run a PRP test out of curiosity.
Then I will move to other ranges after this short visit to the 168xxxxxx range.
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