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-   -   Predict M48... (https://www.mersenneforum.org/showthread.php?t=12001)

davieddy 2011-03-15 04:55

[QUOTE=Uncwilly;255181]

FWIW[/QUOTE]

[url=http://www.youtube.com/watch?v=f5M_Ttstbgs]For what it's worth[/url]

Damn close to my favourite record of all time.

David

davieddy 2011-03-16 06:17

[QUOTE=Uncwilly;255181]
2008-10-25 1.747
2008-12-03 1.719
2009-10-25 1.528
2010-05-11 1.420
2010-10-25 1.342
2010-11-22 1.328
2010-12-25 1.314
2011-01-11 1.306
2011-02-05 1.295
2011-03-07 1.281

FWIW[/QUOTE]
So we expected 0.466 primes in about 860 days.
So 0.001 prime in just under two days.
Undrstandably, the current expected discovery rate has
dropped slightly: I think 50M turned out to be a major
hurdle allocation-wise.
Note however that the current expected rate of a new
prime every 6 years is sustainable if we achieve a 20% increase
in computing per year. Not too much to expect from Mr Moore:smile:

David

Note also that the expected time before the next prime
is discovered is 6 years from NOW.

Some of the predictions on Chris Caldwell's instructive
"Where is the next MP?" page are beginning to look
distinctly optimistic ;)
(The same could be said of just about all the predictions
in this thread!)

Uncwilly 2011-05-24 03:15

We just past May 22. This was the date that using the 'forecast' function (in Excel) a new prime would be found. (All data in the post concerns only the GIMPS era).
In about 2 weeks we will hit June 5. That is the date of last discovery of a prime + the average gap + 1.5 std dev.

And we should be hitting a new prime at around 49,000,000 (according to my calcs). And we have just more that half of those LL'ed.

George is on vacation and having a problem with networking.

Watch out.

Christenson 2011-05-24 03:53

[QUOTE=Uncwilly;262121]
(snip)
And we should be hitting a new prime at around 49,000,000 (according to my calcs). And we have just more that half of those LL'ed.

George is on vacation and having a problem with networking.

Watch out.[/QUOTE]
:devil: If I wanted to be paranoid, G isn't on vacation...he's visiting the discoverer of M48!
Crunch, crunch.....P-1 is knocking out candidates in the M53 range noticeably faster than my first LL tests...though my sample from 1 set of computers is pretty small, under 1000GHz days still.

Mini-Geek 2011-05-24 11:55

[QUOTE=Uncwilly;262121]We just past May 22.
...
And we should be hitting a new prime at around 49,000,000 (according to my calcs). And we have just more that half of those LL'ed.

George is on vacation and having a problem with networking.

Watch out.[/QUOTE]

Unfortunately, that's the gambler's fallacy, that a prime should be 'due' because of any reason. All you can do is say that right now, we can expect to have x primes by such-and-such date or exponent. As of when the last prime was found, apparently those were around May/June and 49,000,000. If, for simplicity, that was 12 months and 5M, now it's another ~>12 months and ~>5M before you expect one.

wreck 2011-05-24 14:36

Just for fun.
49M 2013

davieddy 2011-05-24 15:05

[QUOTE=wreck;262157]Just for fun.
49M 2013[/QUOTE]

To quote Manuel cmd "Me no understand. I'm comer fromer Italia"

David

49M = M49????

Que?

davieddy 2011-05-24 15:13

[QUOTE=Mini-Geek;262147]49,000,000. If, for simplicity, that was 12 months and 5M, now it's another ~>12 months and ~>5M before you expect one.[/QUOTE]

For realism, make that 60 months and 25M

Poisson George Wagstaff

davar55 2011-05-24 15:38

[QUOTE=davar55;243235]For M48: ~52,100,000 in 12/2011-2/2012.

For M49 (to jump the gun): sooner or later.[/QUOTE]

May I change my original guess and make
a real two-pronged guess?

For M48: ~77,000,000 by 6/2012 reached by luck

For M49: (big gap to) ~205,000,000 by 2/2015 reached analytically

No analytic reason, just intuited from the recent clustered values
and my estimate that the sequential ratios of consecutive
mersenne exponents hovers around 1.500000.

davieddy 2011-05-24 16:05

Dear Davar
 
With nutters like you around, who needs...

David

Christenson 2011-05-24 17:54

[QUOTE=wreck;262157]Just for fun.
49M 2013[/QUOTE]

I think he means M48 will be M(49 xxx xxx) and found in 2013, in a SWAG -- Sophisticated, Wild-Assed Guess

Can't say I even know a little, you can look at plots yourself and guess...I'd be surprised if M48 > M(60 000 000) and M49 > M(100 000 000), but I'm expecting half a dozen primes in that range....


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