Mersenne Digest Saturday, September 2 2000 Volume 01 : Number 774 ---------------------------------------------------------------------- Date: Thu, 31 Aug 2000 03:41:17 -0400 From: Matt Gauthier <[EMAIL PROTECTED]> Subject: Mersenne: Re: Mersenne Digest V1 #773 In message <[EMAIL PROTECTED]>, Mersenne Digest writes: >Do not "make clean" in linux/, this will remove all the FFT object files! Only >remove prime.o, primenet.o and menu.o . Also, the GIANTS.H file is all >uppercase in the zip file so case-sensitive unix does not find it. Rename it >to giants.h . The latest version of gas can, apparantly, handle intel syntax with the appropriate psuedo-op. I haven't looked into it, but it should be possible to get prime95 to compile on any i386 unix box with trivial changes once the new version is the standard. - -- Matt Gauthier <[EMAIL PROTECTED]> _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Sun, 03 Sep 2000 16:07:40 +0200 From: Yann Forget <[EMAIL PROTECTED]> Subject: Mersenne: Re: Glucas beta version released. Hi, I'll test it on RS6000: IBM B50, PPC 604e, 375 Mhz, 500 Mo RAM Any input about possible optimization welcomed. Best regards, Yann > ------------------------------ > > Date: Thu, 31 Aug 2000 07:58:23 +0200 > From: Guillermo Ballester Valor <[EMAIL PROTECTED]> > Subject: Mersenne: Glucas beta version released. > After a long and hot summer, I've finally written a first beta version > of Glucas. This is a C-program to make L-L test. Still, there is no good > scripts to make the binaries in a easy way. I need the help of testers > to make fast binaries and fix possible bugs. _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 11:59:10 +0000 From: Alexander Kruppa <[EMAIL PROTECTED]> Subject: Re: Mersenne: Re: Mersenne Digest V1 #773 Matt Gauthier wrote: > In message <[EMAIL PROTECTED]>, Mersenne Digest writes: > >Do not "make clean" in linux/, this will remove all the FFT object files! Only > > The latest version of gas can, apparantly, handle intel syntax with > the appropriate psuedo-op. I haven't looked into it, but it should be > possible to get prime95 to compile on any i386 unix box with trivial > changes once the new version is the standard. At last, writing assembler in old gas syntax was a nightmare. The readily available nasm likes Intel syntax, too, and most programming-inclined x86-unix boxes will have it installed, so we could use that too to assemble the FFT sources. But assembling is not really necessary to build the mprime binary even after a "make clean" because the elf .o files can be converted from the intel .obj file which are also in the linux/ directory. This takes binutils which like coff-i386 object files (see the linux/makefile) and many linux boxes are not configured that way - you'd have to rebuild your binutils first. So, yes you can make clean and still make the binary if you have a suitably configured system. But unless one is working on the FFT code, one might just keep the .o files and not worry about all this... Ciao, Alex. _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 08:38:11 -0500 (EST) From: [EMAIL PROTECTED] Subject: Mersenne: Check This Out! Just got a new email at THEMAIL.COM - --___TheMail_56_Boundary___ Content-type: text/plain Dear [EMAIL PROTECTED], qing he wanted us to inform you that THEMAIL.COM is now giving out a powerful free email service. Best of all, I get paid for reading email! - Check it out for yourself at: http://www.themail.com/ref.htm?ref=1243269 TheMail.com PostMaster - --___TheMail_56_Boundary___-- _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 20:17:26 +0200 From: Guillermo Ballester Valor <[EMAIL PROTECTED]> Subject: Re: Mersenne: Re: Glucas beta version released. Hi: Yann Forget wrote: > > Hi, > > I'll test it on RS6000: > IBM B50, PPC 604e, 375 Mhz, 500 Mo RAM The first bug has already found by Yann Forget!. It will affect to those users of GNU gcc compiler other than x86 platform, gcc will give an error. You can try now the version 1.99 with the first stupid bug fixed. The new source code: ftp://209.133.33.182/pub/valor/Glucas-1.99.tar.gz Thanks ! Regards. Guillermo. _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 21:35:42 +0100 (BST) From: Chris Jefferson <[EMAIL PROTECTED]> Subject: Re: Mersenne: Check This Out! Just got a new email at THEMAIL.COM Just so everyone knows, I have reported this person and his account will be canceled with the day. Chris Jefferson, Girton College, Cambridge, CB3 0JG - --------------------------------------------------- Disclaimer: Please do not read any hidden messages from my e-mails, as anything that looks like it is is simply my bad English. If I want to say something I will :-) On Thu, 31 Aug 2000 [EMAIL PROTECTED] wrote: > > Dear [EMAIL PROTECTED], > > > qing he wanted us to inform you that > THEMAIL.COM is now giving out a powerful free email service. > Best of all, I get paid for reading email! - Check it out for yourself at: > http://www.themail.com/ref.htm?ref=1243269 > > TheMail.com PostMaster > _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 23:59:37 -0400 From: Pierre Abbat <[EMAIL PROTECTED]> Subject: Re: Mersenne: Check This Out! Just got a new email at THEMAIL.COM On Thu, 31 Aug 2000, Chris Jefferson wrote: >Just so everyone knows, I have reported this person and his account will >be canceled with the day. You reported to whom? [EMAIL PROTECTED] is the spammer himself - see the sig - so reporting there will do nothing. We should all report to domaincow.com (the dns provider) and vitts.com (the upstream provider). Spam sent to a mailing list constitutes one count of net abuse for each address on the list. phma _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Thu, 31 Aug 2000 22:15:48 -0700 From: "xqrpa" <[EMAIL PROTECTED]> Subject: Mersenne: The Ultimate Factoring Laptop, Boltzmasnn's Headstone, And Getting It All Done By The Next Mersennium This is a multi-part message in MIME format. - ------=_NextPart_000_0005_01C01399.03D3A560 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Have we got number-cruncher to look forward to! For the Millennial Meanest Machine, see: http://www.newscientist.com/features/features.jsp?id=3Dns225415 Best Wishes, Stefanovic - ------=_NextPart_000_0005_01C01399.03D3A560 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META content=3D"text/html; charset=3Diso-8859-1" = http-equiv=3DContent-Type> <META content=3D"MSHTML 5.00.2614.3500" name=3DGENERATOR> <STYLE></STYLE> </HEAD> <BODY bgColor=3D#ffffff> <DIV>Have we got number-cruncher to look forward to!</DIV> <DIV>For the Millennial Meanest Machine, see:</DIV> <DIV> </DIV> <DIV><A=20 href=3D"http://www.newscientist.com/features/features.jsp?id=3Dns225415">= http://www.newscientist.com/features/features.jsp?id=3Dns225415</A></DIV>= <DIV> </DIV> <DIV>Best Wishes,</DIV> <DIV>Stefanovic</DIV> <DIV> </DIV></BODY></HTML> - ------=_NextPart_000_0005_01C01399.03D3A560-- _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Fri, 1 Sep 2000 09:18:27 -0500 From: "Steve" <[EMAIL PROTECTED]> Subject: Fw: Mersenne: The Ultimate Factoring Laptop, Boltzmasnn's Headstone, And Getting It All Done By The Next Mersennium This is a multi-part message in MIME format. - ------=_NextPart_000_0044_01C013F5.962FBC80 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable That thing will do about 10^32 P90cpu-years per SECOND (ball-park = estimate). Certainly could be useful! Steve 'binarydigits' Harris [EMAIL PROTECTED] - -----Original Message----- From: xqrpa <[EMAIL PROTECTED]> To: [EMAIL PROTECTED] <[EMAIL PROTECTED]> Date: Friday, September 01, 2000 12:56 AM Subject: Mersenne: The Ultimate Factoring Laptop, Boltzmasnn's = Headstone, And Getting It All Done By The Next Mersennium Have we got number-cruncher to look forward to! For the Millennial Meanest Machine, see: http://www.newscientist.com/features/features.jsp?id=3Dns225415 Best Wishes, Stefanovic - ------=_NextPart_000_0044_01C013F5.962FBC80 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN"> <HTML> <HEAD> <META content=3Dtext/html;charset=3Diso-8859-1 = http-equiv=3DContent-Type><!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 = Transitional//EN"> <META content=3D'"MSHTML 4.72.3110.7"' name=3DGENERATOR> <STYLE></STYLE> </HEAD> <BODY bgColor=3D#ffffff> <DIV><FONT color=3D#000000 size=3D2>That thing will do about 10^32 = P90cpu-years per=20 SECOND (ball-park estimate). Certainly could be useful!</FONT></DIV> <DIV><FONT color=3D#000000 size=3D2></FONT> </DIV> <DIV><FONT size=3D2>Steve 'binarydigits' Harris</FONT></DIV> <DIV><FONT size=3D2></FONT><FONT color=3D#000000=20 size=3D2>[EMAIL PROTECTED]</FONT></DIV> <DIV> </DIV> <DIV><FONT face=3DArial size=3D2><B>-----Original = Message-----</B><BR><B>From:=20 </B>xqrpa <<A=20 href=3D"mailto:[EMAIL PROTECTED]">[EMAIL PROTECTED]</A>><BR><B>To:= </B><A=20 href=3D"mailto:[EMAIL PROTECTED]">[EMAIL PROTECTED]</A> <<A=20 href=3D"mailto:[EMAIL PROTECTED]">[EMAIL PROTECTED]</A>><BR><B>Date:=20 </B>Friday, September 01, 2000 12:56 AM<BR><B>Subject: </B>Mersenne: The = Ultimate Factoring Laptop, Boltzmasnn's Headstone, And Getting It All = Done By=20 The Next Mersennium<BR><BR></DIV></FONT> <DIV>Have we got number-cruncher to look forward to!</DIV> <DIV>For the Millennial Meanest Machine, see:</DIV> <DIV> </DIV> <DIV><A=20 href=3D"http://www.newscientist.com/features/features.jsp?id=3Dns225415">= http://www.newscientist.com/features/features.jsp?id=3Dns225415</A></DIV>= <DIV> </DIV> <DIV>Best Wishes,</DIV> <DIV>Stefanovic</DIV> <DIV> </DIV></BODY></HTML> - ------=_NextPart_000_0044_01C013F5.962FBC80-- _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Fri, 01 Sep 2000 22:11:44 -0400 From: Jeff Woods <[EMAIL PROTECTED]> Subject: Mersenne: News coverage of GIMPS/Entropia http://news.cnet.com/news/0-1003-200-2671550.html?tag=st.ne.1002.tgif.ni Entropia has secured $7 million in funding from Mission Ventures and Silicon Valley Bank's San Diego Technology Group. Way to go, Scott! Watch that burn rate..... ;-) _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ Date: Sat, 2 Sep 2000 17:52:06 EDT From: [EMAIL PROTECTED] Subject: Mersenne: A new series of Mersenne-like Gaussian primes In 1969 I investigated the series of complex (Gaussian) integers: s[n] = (1+i)^n - 1. At that time I could only find the first few primes. Even now, there seem to be no references in the math literature or on the internet to this series, which has so many beautiful aspects. It is best thought of as the complex counterpart of the Mersenne series. As with the Mersennes, n must be prime else s[n] is composite. For n = 2, s[n] = (1+i)^2 - 1 = 2*i - 1, with modulus (2*i-1)*(-2*i-1) = 5, which is prime. If n is odd, let n = 2*m+1, m >= 0. Then the modulus of s[n] is: A[n] = ((1+i)^n-1)*((1-i)^n-1) = (2^m)^2 + (2^m + (-1)^(m*(m+1)/2))^2. It is easy to prove that any prime factor of A[n] is of the form 4*k*n+1. For n = 3, i.e. m = 1, A[n] = 2^2 + (2^2+(-1)^1)^2 = 4 + 9 = 13, which is prime. For odd n >= 5, i.e. m >= 2, I have proved that a necessary and sufficient condition for A[n] to be prime is: R[m]^m = -1 mod A[n], where R[m] = 2^m-(-1)^((m*(m+1)/2)^2. This is similar to the Lucas-Lehmer test, and can be programmed in just the same way. The time for "mod A[n]" modulus reduction is only marginally longer than in the Mersenne case, and is anyway negligible compared with the time for FFT squaring. Over the last year I have devoted 1 or 2 Intel PCs to the search for primes of this form, and have to date found the first 33:- Seq n A[n] Digits 1 2 5 1 2 3 2^3+2^2+1 2 3 5 2^5+2^3+1 2 4 7 2^7-2^4+1 3 5 11 2^11+2^6+1 4 6 19 2^19+2^10+1 6 7 29 2^29+2^15+1 9 8 47 2^47-2^24+1 15 9 73 2^73-2^38+1 22 10 79 2^79-2^40+1 24 11 113 2^113-2^57+1 35 12 151 2^151-2^76+1 46 13 157 2^157+2^79+1 48 14 163 2^163+2^82+1 50 15 167 2^167-2^84+1 51 16 239 2^239-2^120+1 72 17 241 2^241-2^121+1 73 18 283 2^283+2^142+1 86 19 353 2^353-2^177+1 107 20 367 2^367-2^184+1 111 21 379 2^379+2^190+1 115 22 457 2^457-2^229+1 138 23 997 2^997+2^499+1 301 24 1367 2^1367-2^684+1 412 25 3041 2^3041-2^1521+1 916 26 10141 2^10141+2^5071+1 3,053 27 14699 2^14699+2^7350+1 4,425 28 27529 2^27529-2^13765+1 8,288 29 49207 2^49207-2^24604+1 14,813 30 77291 2^77291+2^38646+1 23,267 31 85237 2^85237+2^42619+1 25,659 32 106693 2^106693+2^53347+1 32,118 33 160423 2^160423-2^80212+1 48,293 The first 32 were found by my own implementation of the above algorithm; the 33rd was shown as "PRP" on 22 August 2000 by a beta release of Chris Nash's superb PrimeForm/GW, and then confirmed to be prime by my program. The exponents increase in very much the same manner as the Mersenne ones. The logic behind the conjecture by Wagstaff and others that the geometic mean of the ratio of successive terms should be approximated by 2^(e^(-gamma)) applies to this series equally, and is about equally well exemplified, thereby enhancing confidence in its validity. (A _proof_ of the conjecture, is, of course, far out of reach.) I hereby solicit the aid of those in GIMPS et al. to extend this series of primes! Regards Mike Oakes _________________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.exu.ilstu.edu/mersenne/faq-mers.txt ------------------------------ End of Mersenne Digest V1 #774 ******************************
