Holy new Mersenne prime, Batman! (M47 related)

[T.Rex]

Hello,
I've got a 2nd 16x Itanium2 1.6GHz machine for verifying the 2nd candidate prime found the 6th of September.
Verification has started just now.
Can't say more for now about when it will be done, otherwise you'll have a clear indication about his size... Wait for George to clarify what he wants to be known, or not.
Tony

[Batalov]

[jinydu]

Originally Posted by Uncwilly

Might I suggest the following?

Verify both the first and second recently discovered primes.
Announce them (the numbers) both at the same time, once the second one is verified. But, confirm the status of the first and if it is >10Mdigit.
Submit both of them (if they qualify) for the EFF prize.
Split the prize money between the 2 discoverers.

Set up the v5 server to allow for work on 100M digits.

I think it was said earlier in this thread that the GIMPS rules require the largest share of the money to go to the M45 discoverer.

But speaking of the M45 announcement... How about the 2nd anniversary of the M44 announcement? It looks like rgiltrap will finish in time for it. Maybe even aim for the exact minute.

[retina]

Perhaps a nice verification date/time would be 10/09/08 07:06:05.

That is 10-Sep, not 9-Oct, just in case some people here are stuck in middle endian mode.

Maybe CERN will destroy the planet before the verification completes?!

[Andi47]

Originally Posted by retina

Maybe CERN will destroy the planet before the verification completes?!

I think, they won't.

CERN's new Large Hardron Collider (LHC) has a maximum energy of 14 teraelectronvolts when using protons and approx. 10^3 teraelectronvolts when using lead ions.

I have read in the german wikipedia, that due to Heisenbergian Uncertainity effects a Black Hole can't be smaller than 10^-8 kilograms - that's 10^16 teraelectronvolts. This is MUCH more than the LHC is able to do.

Due to the formulas of Hawking-radiation, a black hole with a mass of 10^16 teraelectronvolts (remember, that's VERY MUCH more than LHC can do) will have a lifetime of approx. the Planck-time before it EXPLODES. That's not enough to move even a femtometer (even near the speed of light), and almost certainly not enough time to eat more than one atom which is present in the high vacuum tube. Such an explosion can destroy the LHC, but it will definitely not destroy the planet. (and remember: this is 10^13 times more energy than the LHC can do)

I have also calculated the lifetime of a (much too small) black hole with a mass of 14 teraelectronvolts (that's what the LHC can do whan it uses protons). The lifetime would be 10^-80 seconds, so it would desintegrate due to Hawking radiation virtually in the same moment when it is born. The radiation would give a few nice traces in LHC's detection chamber, but it should not destroy anything.

[jinydu]

Originally Posted by retina

Maybe CERN will destroy the planet before the verification completes?!

At first, beams of particles will be sent in only one direction. It will be a month before the first actual collisions occur. So there should be enough time for finish both verifications.

[davieddy]

http://www.newscientist.com/blog/sho...tember-10.html

[Andi47]

Originally Posted by jinydu

At first, beams of particles will be sent in only one direction. It will be a month before the first actual collisions occur. So there should be enough time for finish both verifications.

Cosmic Rays can bear an energy up to 10^8 TeV and even more, which is 10^5 times more than the particles accelerated in the LHC. So when they collide with atoms in earth's upper atmosphere, they cause collisions which are MUCH more violent than those in LHC.

[xilman]

Originally Posted by Andi47

I think, they won't.

CERN's new Large Hardron Collider (LHC) has a maximum energy of 14 teraelectronvolts when using protons and approx. 10^3 teraelectronvolts when using lead ions.

I have read in the german wikipedia, that due to Heisenbergian Uncertainity effects a Black Hole can't be smaller than 10^-8 kilograms - that's 10^16 teraelectronvolts. This is MUCH more than the LHC is able to do.

I think you'll find that estimate is based on a space-time with four macroscopic spacetime dimensions. If, and it's a big if, other macroscopic dimensions exist (here, macroscopic means radius of curvature on the millimetre scale or larger), black holes can have rather lower mass.


Paul

[retina]

Oops, my innocent little joke seems to have spawned some OT talk about MBHs.

At least jinydu got the joke.

[Andi47]

Originally Posted by xilman

I think you'll find that estimate is based on a space-time with four macroscopic spacetime dimensions. If, and it's a big if, other macroscopic dimensions exist (here, macroscopic means radius of curvature on the millimetre scale or larger), black holes can have rather lower mass.


Paul

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.