[quote=ET_;141426]Lounge (25 Viewing)

Luigi[/quote]
35 now:smile:

[quote=ET_;141434]The question is: how much smaller? :smile: Couldn't it be M43 instead?

Luigi[/quote]
26M-30M? Maybe, but there was nothing in the range reported during the 19:xx hour, although that isn't exactly conclusive considering the Prime, UNVERIFIED counter bug (it shakes my trust in the preciseness of when "M46" was found). Also, from a few hours (17:00-21:00) around there, there were only two first-time LLs in that area, one of which was by curtisc (at 18:12, the other was at 17:54), and, well, it's looking pretty likely that "M45" was found by curtisc, and I don't want them to have found the last four primes.
BTW anyone know what percentage of GIMPS first-time tests curtisc runs? It can't be proportional to the percentage of primes they've found lately, especially if one or both of these recent ones are found by them.

[QUOTE=davieddy;141436]Really?[/QUOTE]Yes, really. Do the calculation. Here is a naive calculation based on Newtonian mechanics. It shows teh CoM is still travelling pretty damn fast.

Assume the CR is travelling at c and the earth is travelling at 0 --- both relative to the earth, that is. Assume the CR is a proton and hits a proton in the earth (redo the calculation for particles of other masses if you prefer). According to Newtonian mechanics, the CoM is travelling at 0.5c. The CoM of the products of the collision will also be travelling at 0.5c. This is just a restatement of the law of conservation of linear momentum.

Now I've shown you how to approach the problem, go away and perform the fully relativistic calculation where the CR is travelling with an (Earth-centred) energy of 10^15 GeV. An adequately accurate value for the rest mass of a proton is 1GeV.


Paul

I have some sympathy for Curtisc since they narrowly
missed the 10M digits twice.

[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]

So WHY not announce "M45" (the already verified one) now? Would it be too much hint for the September prime?

[quote=xilman;141440]Yes, really. Do the calculation. Here is a naive calculation based on Newtonian mechanics. It shows teh CoM is still travelling pretty damn fast.

Assume the CR is travelling at c and the earth is travelling at 0 --- both relative to the earth, that is. Assume the CR is a proton and hits a proton in the earth (redo the calculation for particles of other masses if you prefer). According to Newtonian mechanics, the CoM is travelling at 0.5c. The CoM of the products of the collision will also be travelling at 0.5c. This is just a restatement of the law of conservation of linear momentum.

Now I've shown you how to approach the problem, go away and perform the fully relativistic calculation where the CR is travelling with an (Earth-centred) energy of 10^15 GeV. An adequately accurate value for the rest mass of a proton is 1GeV.


Paul[/quote]
If you meant the COM of the two protons, then yes of course.
But you said COM of the earth-CR system.

BTW thanks for retracting the "If you're not happy with SR" jibe:)

[quote=Andi47;141442]So WHY not announce "M45" (the already verified one) now? Would it be too much hint for the September prime?[/quote]
My guess is that it's because it's really M46, not M45, so they don't want to issue press releases saying that M45 was discovered when a couple days later they know they'll announce a smaller prime and that the last one was really M46 and [I]here's[/I] M45 (or M43 or w/e it's true rank is).

[QUOTE=Andi47;141442]So WHY not announce "M45" (the already verified one) now? Would it be too much hint for the September prime?[/QUOTE]

I suppose that the hype for the "old new 10M digits Mersenne prime" would narrow the interest for the "new new 5M digits Mersenne prime" discovered afterwards.

Luigi

P.S. Mini-Geek arrived first, while I was typing...

[QUOTE=ET_;141435][code]
------- 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]

Perhaps the server can't say [B]Prime, VERIFIED : 1[/B] without revealing what the prime is.

[QUOTE=Andi47;141442]So WHY not announce "M45" (the already verified one) now? Would it be too much hint for the September prime?[/QUOTE]

I also think it is for press purposes. This way they can write a press release announcing "Back-to-Back New Primes". Besides, if they were announced separately, the news of the September prime would probably be widely ignored if it is in fact less than the August prime.

Or a more far fetched reason... Maybe they took my suggestion about waiting until Sept. 11.

On another thought, did you notice that 17 Mersenne numbers over 100 million digits have been manually reserved for LL test, 15 of which by "ANONYMOUS"?

Is someone testing his new software or cluster? :smile:

Luigi

[QUOTE=jinydu;141446]Perhaps the server can't say [B]Prime, VERIFIED : 1[/B] without revealing what the prime is.[/QUOTE]

Well, yes and no... there still is an unverified prime... :smile:

Luigi