mersenneforum.org - Holy new Mersenne prime, Batman! (M47 related)

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[QUOTE=Prime95;141412]Rob and Tom's verification is complete. As expected, it independently verifies the new prime![/QUOTE]

Jippi!

[QUOTE=ET_;141420]You announced the discovery 4 minutes past the hour... We'll have to wait 56 more minutes to see "VERIFIED PRIME" on the v4 server :surprised

Luigi[/QUOTE]

I wonder if it now will say

[code]Prime, UNVERIFIED: 1
Prime, VERIFIED: 1[/code]

Lounge (25 Viewing)

Luigi

[URL]http://www.mersenne.org/[/URL]
has changed.

"Once both new primes have been verified, the details will be announced to the press and published here."

[QUOTE=Flatlander;141428][URL]http://www.mersenne.org/[/URL]
has changed.

"Once both new primes have been verified, the details will be announced to the press and published here."[/QUOTE]

Amazingly, on September 6th, another computer claims finding a new Mersenne prime!!
Independent verification has begun and should complete on the 11th.

Last updated: September 8, 2008

It seems that the second one is much smaller... :)

Luigi

[QUOTE=Andi47;141391]Even if smaller Black holes can exist due to other macroscopic dimensions or any other unknown phenomenon: According to the article linked by Davieddy, earth had experienced approx. 10^22 collisions with an energy greater than LHC's energy during it's lifetime. And obviously, earth has not been eaten by a black hole. We are still there.[/QUOTE]Even though I believe that the LHC is harmless in this respect, I will play Devil's advocate.

The centre of mass of a earth - cosmic ray collision is travelling at pretty nearly the speed of light. Any BH produced will be outside the earth in much under a second and outside the solar system in a day.

The centre of mass of LHC collisions is, by comparison, travelling very slowly because the proton beams, although moving at very nearly the speed of light, are moving in opposite directions.

Homework assignment: find out the energy spread of the LHC beams and their intersection angles. From this, calculate the velocity distribution for the proton-proton CoM in CERN-centred coordinates.

Paul

[spoiler]The BH come out with a sideways component which is just under c.[/spoiler]

[quote=ET_;141429]Amazingly, on September 6th, another computer claims finding a new Mersenne prime!!
Independent verification has begun and should complete on the 11th.

Last updated: September 8, 2008

It seems that the second one is much smaller... :)

Luigi[/quote]
But also remember that "M45" (BTW when I put quotes around M45 or M46, I'm saying "M45" means the one found in August, and "M46" the September one) was run at an FFT size much larger than it needed. Because of that and the test times (the "M46" test time shows that it is probably smaller but also run at a more appropriate FFT size), I think "M45" is really M46 and is over 10M digits, and "M46" is really M45 and is lower than 10M digits. I think "M45" was run with such a large FFT because they wanted to be 100% sure that it's prime before they tell the EFF they've got a 10M digit prime and collect the prize, while "M46" will be done soon because it's small and can run at just the necessary FFT, because they aren't making any extremely important claims on it like "M45".
BTW the prize rules, IIRC, would mean that the discoverer of "M46" wouldn't get any prize money because he found a <10M digit after the 10M digit was found.

[QUOTE=Mini-Geek;141431]But also remember that "M45" (BTW when I put quotes around M45 or M46, I'm saying "M45" means the one found in August, and "M46" the September one) was run at an FFT size much larger than it needed. Because of that and the test times, I think "M45" is really M46 and is over 10M digits, and "M46" is really M45 and is lower than 10M digits.[/QUOTE]

The question is: how much smaller? :smile: Couldn't it be M43 instead?

Luigi

[code]
Mersenne PrimeNet Server 4.0 (Build 4.0.101)
Status Summary[B] Report 08 Sep 2008 16:00[/B] (08 Sep 2008 09:00 Pacific)

This report is updated every 60 minutes
All dates and times are Coordinated Universal Time (UTC)
Assignment overdue check-in is set at 60.0 days (0.0 days to expire)

------- Aggregate CPU Statistics, P90 Units* -------

Last 7 Days Average Cumulative Today
from 02 Sep 2008 06h from 08 Sep 2008 06h
---------------------- ----------------------------------
Test Type CPU yr/day GFLOP/s CPU years CPU yr/day GFLOP/s
------------ ---------- ---------- ---------- ---------- ----------
Lucas-Lehmer 2283.019 27482.303 1015.799 2447.572 29463.135
Factoring 72.161 868.654 35.557 85.674 1031.321
---------- ---------- ---------- ---------- ----------
TOTALS 2355.180 28350.957 1051.356 2533.246 30494.459

------- Internet CPU and Server Resources -------

Machines Applied on 39748 Accounts Server Synchronization 15 Aug 2008 03:47

Intel Pentium 4 : 38524 Total exponents merged : 816298
AMD Athlon : 15944 Updated only : 802216
Intel Pentium III : 1003 Added for testing : 0
Intel Pentium II : 157 Retained in cleared list : 4256
Intel Celeron : 3179 Cleared tests removed : 9826
Intel Pentium Pro : 7 Manual tests removed / purged: 0
Intel Pentium : 44
AMD K6 : 29 Total Cleared by PrimeNet : 1320193
Intel 486 : 5
Cyrix : 581
Unspecified type : 121
---------------------- -------
TOTAL : 59594

------- Mersenne Exponent Test State -------

Assigned in Tests Cleared Since Last Synchronization

Factoring only : 9436 Factored composite : 1432
Lucas-Lehmer testing : 73884 Lucas-Lehmer composite: 7773
Double-checking LL : 9229 Double-checked LL : 2802
[B]Prime, UNVERIFIED : 1[/B]
---------------------- ------- ---------------------- -------
TOTAL : 92549 TOTAL : 12008
[/code]

[quote=xilman;141430]
The centre of mass of a earth - cosmic ray collision is travelling at pretty nearly the speed of light.
Paul
[/quote]

Really?