Mersenne Digest Monday, May 22 2000 Volume 01 : Number 738 ---------------------------------------------------------------------- Date: Fri, 19 May 2000 21:01:55 -0700 From: Stefan Struiker <[EMAIL PROTECTED]> Subject: Re: Mersenne: M#36 & M#37 George Woltman wrote: > Hi all, > > Congratulations to all GIMPS members on achieving another > milestone! Today, double-checking has proved that M(2976221) > and M(3021377) are the 36th and 37th Mersenne primes. > > Keep up the good work! > George How many DDs does it take to "reasonably establish" primality, given the apparent slight error in the L-L test? Is there an extra-precision version of the test to nail things down? Just Curious, Stefanovic _________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers ------------------------------ Date: Sat, 20 May 2000 00:40:52 EDT From: "Nathan Russell" <[EMAIL PROTECTED]> Subject: Re: Mersenne: M#36 & M#37 >From: Stefan Struiker <[EMAIL PROTECTED]> >To: George Woltman <[EMAIL PROTECTED]>, [EMAIL PROTECTED] >Subject: Re: Mersenne: M#36 & M#37 >Date: Fri, 19 May 2000 21:01:55 -0700 > > > >George Woltman wrote: > > > Hi all, > > > > Congratulations to all GIMPS members on achieving another > > milestone! Today, double-checking has proved that M(2976221) > > and M(3021377) are the 36th and 37th Mersenne primes. > > > > Keep up the good work! > > George > >How many DDs does it take to "reasonably establish" primality, given the >apparent slight >error in the L-L test? Is there an extra-precision version of the test to >nail things down? > >Just Curious, >Stefanovic IIRC, there is no real difference in the double-check and the first-time test. However, double, triple and if need be quadruple checks are run until the residues - the last 64 bits in the LL sequence - match. The chances of this happening accidentally are one in 2^64 or, in US reckoning, 1 in a number that is well over 17 quintillion. I don't know what the equivalent number in European reckoning would be. Deliberate attacks, e.g. sending false residues for a double-check with a match in the public 56 bits of the residue and a guess for the other 8 bits, is unlikely to succeed (1 chance in 256). If someone did this to gain credit, they would most likely be tempted into doing it for a large number of exponents. When they did this, the public-section-only matches that would be almost certain to result would be a definate 'red flag' to George. Nathan ________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com _________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers ------------------------------ Date: Sat, 20 May 2000 12:32:44 -0700 From: "kurowski" <[EMAIL PROTECTED]> Subject: Mersenne: RE: Mersenne Digest V1 #737 Hi all, > Congratulations to all GIMPS members on achieving another > milestone! Today, double-checking has proved that M(2976221) > and M(3021377) are the 36th and 37th Mersenne primes. Congratulations also from the entire Entropia team on this milestone! Here are some definitive answers to the PrimeNet questions: > > Are you using HTTP or RPC to communicate with the PrimeNet > > server? If you're using RPC, try changing to HTTP. HTTP is definitely the right protocol to use. We used DCE RPC for the network software early on, and never quite got it bullet-proofed. HTTP is much better behaved and going forward will be the only protocol supported. > The FAQ says that this is caused by using the RPC protocol in certain > circumstances - but I am using the HTTP protocol! The non-windows versions all return error 2250 even for HTTP connection failures. It was initially chosen to match the (then) more common use of RPC, which reports error 2250 for connection failures. There are some circumstances where 2250 can show up for HTTP connections even in the Windows clients, such as when the client is being indirectly routed through the Entropia network to the PrimeNet server and we have the server offline for maintenance. > If there's a sudden burst of these incidents, maybe something > external is to blame. Maybe a virus infecting Prime95 or one of the > DLLs it uses; could also be something hitting the comms routines in > Windows. It's perhaps not coincidental that the PrimeNet server seems > to have been having problems recently. > I saw it happening earlier today. The server seems to be > going through some periodic difficulties. Actually, there are some mighty things happening at Entropia and we are doing a lot of server and network work. PrimeNet was simply offline on and off as this work happened - sorry for that inconvenience. The recent phase of cutovers is complete; the next phase will be several weeks from now. Regards, Scott Kurowski Entropia _________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers ------------------------------ Date: Mon, 22 May 2000 09:59:00 +0200 (CEST) From: Henrik Olsen <[EMAIL PROTECTED]> Subject: Re: Mersenne: M#36 & M#37 > > If there's a sudden burst of these incidents, maybe something > > external is to blame. Maybe a virus infecting Prime95 or one of the > > DLLs it uses; could also be something hitting the comms routines in > > Windows. It's perhaps not coincidental that the PrimeNet server seems > > to have been having problems recently. > > > I saw it happening earlier today. The server seems to be > > going through some periodic difficulties. > > Actually, there are some mighty things happening at Entropia and we are > doing a lot of server and network work. PrimeNet was simply offline on and > off as this work happened - sorry for that inconvenience. The recent phase > of cutovers is complete; the next phase will be several weeks from now. Any chance an announcement can be posted here in advance next time so people know what to expect? > Regards, > > Scott Kurowski > Entropia - -- Henrik Olsen, Dawn Solutions I/S URL=http://www.iaeste.dk/~henrik/ Somewhere almost out of hearing, children were at play. It was always a pleasant, lulling sound. Always provided, of course, you couldn't hear the actual words. Terry Pratchett, Hogfather _________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers ------------------------------ End of Mersenne Digest V1 #738 ******************************
