tag:blogger.com,1999:blog-8666091.post110930058802086129..comments2019-11-18T20:02:57.919+01:00Comments on The Reference Frame: New record primeLuboš Motlhttp://www.blogger.com/profile/17487263983247488359noreply@blogger.comBlogger12125tag:blogger.com,1999:blog-8666091.post-1159263251266374362006-09-26T11:34:00.000+02:002006-09-26T11:34:00.000+02:00Is there any practical application for such a big ...Is there any practical application for such a big prime numbers?<BR/><BR/><BR/><BR/>-------------------<BR/><A HREF="http://www.numberempire.com" REL="nofollow">The Number Empire</A>Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109446769223388472005-02-26T20:39:00.000+01:002005-02-26T20:39:00.000+01:00Hi Marmegil,
OK, let me admit the truth which is...Hi Marmegil, <br /><br />OK, let me admit the truth which is of course less magic. ;-) I looked at the discussions over at mersenneforum.org - and probably the only extra skill I had was to be able to distinguish which of the participants were people connected to the administration of GIMPS so that their "guess" matters. I guess that you (or others) considered these users to be random users among others who just propose random numbers.<br /><br />All the best<br />LubosLumohttps://www.blogger.com/profile/17487263983247488359noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109444123860468952005-02-26T19:55:00.000+01:002005-02-26T19:55:00.000+01:00Hi mormegil,
the sad truth is that quantoken real...Hi mormegil,<br /><br />the sad truth is that quantoken really does not understand jokes or anything else for that matter. He is just an obnoxious, belligerent and ignorant heckler. The prototype of a crackpot.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109438736144105352005-02-26T18:25:00.000+01:002005-02-26T18:25:00.000+01:00Oh, come on, Quantoken, don't you recognize a joke...Oh, come on, Quantoken, don't you recognize a joke? Of course Luboš did not use that, my guess is either he just copied the guess of a GIMPS' participant who wrote the same number on a GIMPS forum, or used the same method as him – went through the list of cleared exponents and filtered them by date and other parameters; I just thought there might be more magic and less work in it. :-)Mormegilhttp://mormegil.wz.cz/noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109434796074416422005-02-26T17:19:00.000+01:002005-02-26T17:19:00.000+01:00Who are you kidding, Lubos? I believed you did fig...Who are you kidding, Lubos? I believed you did figure it out to begin with. But nobody would believe that is how you figured it out! How much manpower does it take to search all blogs and eliminate hundreds of thousands of candidates? What kind of Mersenne number can you do Lucas Lehmer test using paper and pencil only?<br /><br />Here is a challenge. I used <B>paper and pencil</B> to figured out a Mersenne number which is 2^<B>26335769</B> - 1. You can pick and choose one of any of the three challenges below:<br /><br />1.Figure out what's special about this number and why I picked this one? What's the coincidence I used? or,<br /><br />2.Show us how you do paper and pencil Lucas Lehmer test of just this one Mersenne candidate. or<br /><br />3.It is NOT a Mersenne prime. Figure out the smallest factor of this number, either use super computer or paper and pencil. But do it within 24 hours.Quantokenhttps://www.blogger.com/profile/08057876770160255308noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109423328648855962005-02-26T14:08:00.000+01:002005-02-26T14:08:00.000+01:00Hi Mormegil,
maybe I listed all numbers between 2...Hi Mormegil,<br /><br />maybe I listed all numbers between 24,000,000 and 26,500,000. Then I picked all prime integers by Mathematica. That's a couple of hundreds of thousands of candidates. It's then enough to browse various blogs and collect the information from people like you who say "it's certainly not this and that". You eliminate most candidates.<br /><br />You're left with roughly 10,000 candidates, and you just make the Lucas-Lehmer test for them with a pen and a piece of paper. ;-)<br /><br />Thanks,<br />LubosLumohttps://www.blogger.com/profile/17487263983247488359noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109414628897628432005-02-26T11:43:00.000+01:002005-02-26T11:43:00.000+01:00OK, so your "prediction" was correct. Now I would ...OK, so your "prediction" was correct. Now I would only like to know, what sources did you have? :-/Mormegilhttp://mormegil.wz.cz/noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109348300908592122005-02-25T17:18:00.000+01:002005-02-25T17:18:00.000+01:00This comment has been removed by a blog administrator.Quantokenhttps://www.blogger.com/profile/08057876770160255308noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109341827706445782005-02-25T15:30:00.000+01:002005-02-25T15:30:00.000+01:00There is not much I could say, except that I know ...There is not much I could say, except that I know that p <I>is not</I> 24142693, 24251971, 24780803, 24844957, 25487719, 25799551, 26262007, 26586961, 27050717, nor 27612973... You can choose among the rest of candidates. :o)Mormegilhttps://www.blogger.com/profile/06220635683935265897noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109336190566001752005-02-25T13:56:00.000+01:002005-02-25T13:56:00.000+01:00Matti - well, let me admit that I don't believe an...Matti - well, let me admit that I don't believe any of the things about "TGD" you wrote.<br /><br />Quantoken - believe me that at a given moment of time, thousands or tens of thousands of Mersenne numbers are being tested, only one in hundreds of thousands turns out to be prime, and if you download the client, you won't be able to say anything about the new one.<br /><br />In other words, what you wrote is a complete stupidity once again.Lumohttps://www.blogger.com/profile/17487263983247488359noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109322398224182422005-02-25T10:06:00.000+01:002005-02-25T10:06:00.000+01:00Matti that does not even look like a joke, if it w...Matti that does not even look like a joke, if it was not for your teasing of Lubos with the word "TGD". Hey Lubos are you going to ask a second time what is "TGD"?<br /><br />Your "prediction" of "p = 25,964,951" is just silly. There is no prediction. Any one can just download a copy of software from GIMPS and watch what kind of data is being sent over from the GIMPS network, then you will know for sure what Mersenne number they are trying to verify right now. So if your "prediction" comes out right, no big deal. But if it is not right, then too bad for you.<br /><br />QuantokenQuantokenhttps://www.blogger.com/profile/08057876770160255308noreply@blogger.comtag:blogger.com,1999:blog-8666091.post-1109316225003295702005-02-25T08:23:00.000+01:002005-02-25T08:23:00.000+01:00Mersenne primes are in Topological Geometrodynamic...Mersenne primes are in Topological Geometrodynamics framework the most interesting primes since they correspond to most important p-adic length scales. Only Mersennes up to M_127 =2^127-1 are interesting physically since next Mersenne corresponds to a completely super astrophysical length scale. M_127 corresponds to electron whereas M_107 corresponds to hadronic length scale. M_89 corresponds to intermediate boson length scale.<br /><br /><br />There is an interesting number theoretic conjecture due to Hilbert that iterated Mersennes M_{n+1}= M_{M_n} form an infinite sequence of primes. 2,3,7,127,;M-_{127},.... etc. Quantum computers would be needed to kill the conjecture. Physically this hierarchy would be also very interesting.<br /><br />Also Gaussian primes associated with complex integers are important in TGD framework. Gaussian Mersennes exist also and correspond to powers p=about 2^k, k prime. <br /><br />k=113 corresponds to the p-adic length scale of muon and atomic nucleus in TGD framework. <br /><br />Neutrinos could correspond to several Gaussian Mersennes populating the biologically important length scales in the range 10 nanometers 5 micrometeres. k=151,k=157,k=163, k=167 all correspond to Gaussian Mersennes. There is evidence that neutrinos can appear with masses corresponding to several mass scales. <br /><br />That Gaussian Mersennes populate the biologically most interesting length scale range is probably not an accident. The hierarchical multiple coiling structure of DNA could directly correspond to these Gaussian Mersennes.<br /><br /> <br />Matti PitkänenMatti Pitkanenhttps://www.blogger.com/profile/01956288145511037048noreply@blogger.com