20050226, 01:15  #67 
Cranksta Rap Ayatollah
Jul 2003
641 Posts 
..can I hold off on putting up the story but update my prime list?

20050226, 01:15  #68 
"Kyle"
Feb 2005
Somewhere near M52..
1110010010_{2} Posts 
Okay, can you explain the differences between all these different systems i.e. the one that Tony uses, the Alpha based system, and any others that you can think of? Thanks,
Kyle 
20050226, 08:52  #69 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Congratulations everyone!
Btw, the new prime is not part of a twin prime pair, 2^(notyetofficialexponent)3 is divisible by 5. Alex 
20050226, 12:19  #70  
Jun 2003
Ottawa, Canada
2·3^{2}·5·13 Posts 
Quote:
First, I have no idea what machine the GIMPS user was using but there is a good chance it was an AMD Athlon/Opteron, or Intel P3/P4 processor. Those are you basic 32bit processors using x86 instructions that you find in PCs. Tony is using a machine with Intel Intel Itanium2 processors. This is a 64bit processor using ia64 instructions and is completely different from a Pentium processor. You cannot run code compiled for an Itanium on a Pentium CPU. I am using HP Alpha processors which are 64bit and use a RISC instruction set. These are completely different from the x86 instructions and the ia64 instructions. The idea of using different architectures and different source code to verify the suspected prime is that it is extremely unlikely that random errors in two different machine architectures and two different types of source code would both show that an exponent is prime when it is not. So the fact that the GIMPS user and Tony both agree the exponent is prime is good enough evidence to support that. That by itself is good enough from a statistical point of view, and when my run finishes it will add even more support (I'm already half way through so I might as well finish). Jeff. Last fiddled with by Jeff Gilchrist on 20050226 at 12:21 

20050226, 16:29  #71 
May 2004
Vancouver, Canada
2^{2}×5^{2} Posts 
Congrats everyone!

20050226, 16:42  #72 
"Kyle"
Feb 2005
Somewhere near M52..
2·457 Posts 
Okay thanks. I've heard some things about a 64bit processor vs. a 32bit processor, and I know the 64bit one is signifcantly more powerful, but just how much faster is it? (I think I heard that it doesn't increase on a regular scale, i.e. a 64bit would be 2x as fast as a 32bit, but on an exponential scale, making a 64bit 10x or <insert larger number here>x faster. Can anyone verify this?)
Last fiddled with by Primeinator on 20050226 at 16:46 
20050226, 17:05  #73  
Sep 2003
Borg HQ, Delta Quadrant
2·3^{3}·13 Posts 
Quote:


20050226, 17:16  #74 
"Kyle"
Feb 2005
Somewhere near M52..
2×457 Posts 
Thanks.

20050226, 18:35  #75  
Jun 2003
Ottawa, Canada
2·3^{2}·5·13 Posts 
Quote:
Jeff. 

20050226, 19:06  #76  
Dec 2003
Hopefully Near M48
2×3×293 Posts 
Quote:


20050226, 23:59  #77 
Sep 2002
1226_{8} Posts 
Congratulations on the discovery of M42 !
Concerning the difference of an Opteron/Athlon 64 (AMD64) or P4/Xeon (EMT64) versus a 32bit x86, the pure 64 bit mode has been streamlined and enhanced. There are double the number of integer registers, 16 instead of 8, and the size has doubled to 64 bits from 32 bits. This will allow a doubling of trial factoring speed. There are more SSE2 64bit floating point registers. This should add a very small increase in speed, the major advantage is a much enhanced memory access system, mainly on AMD64, with a different enhancement for Intel, that should allow higher memory throughput which is crucial in the DWT transforms of the lucas lehmer test. How much of an increase remains to be seen. 
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