mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   News (https://www.mersenneforum.org/forumdisplay.php?f=151)
-   -   Success?... (M46 related) (https://www.mersenneforum.org/showthread.php?t=11996)

lycorn 2009-06-09 13:28

And no primes... LOL

More seriously, mdettweiler, see post #230 of this thread, where the figures are correct. Philmoore´s post should be even better, in terms of the approximation taken, if it weren´t for the missing zeroes.

philmoore 2009-06-09 14:11

Oops! But with numbers that big, what difference is one more or one less zero anyway?

lycorn 2009-06-09 14:22

[QUOTE=philmoore;176765]Oops! But with numbers that big, what difference is one more or one less zero anyway?[/QUOTE]

yeah, right. Particularly when it sits at the far right of the number... :smile:

Flatlander 2009-06-09 14:58

This guy seems convinced:
[URL]http://isthe.com/chongo/tech/math/prime/mersenne.html[/URL]

edit:
An interesting bio:
[URL]http://en.wikipedia.org/wiki/Landon_Curt_Noll[/URL]

davieddy 2009-06-09 15:51

[quote=Flatlander;176774]This guy seems convinced:
[URL]http://isthe.com/chongo/tech/math/prime/mersenne.html[/URL]

edit:
An interesting bio:
[URL]http://en.wikipedia.org/wiki/Landon_Curt_Noll[/URL][/quote]
Well spotted. He is also responsible for the remarkable observation
that in a sequence of random numbers, there may be clusters
(which he dubbed "islands") closer than expected on average.
Freakish as GMPS last 8 discoveries may seem, I still don't see
any need to invoke divine intervention:smile:

CRGreathouse 2009-06-09 16:03

[QUOTE=davieddy;176783]Well spotted. He is also responsible for the remarkable observation
that in a sequence of random numbers, there may be clusters
(which he dubbed "islands") closer than expected on average.
Freakish as GMPS last 8 discoveries may seem, I still don't see
any need to invoke divine intervention:smile:[/QUOTE]

Has anyone crunched the numbers on just how likely this cluster is, assuming our models are right? If we view the region searched so far as a (scaled) Poisson test, could we reject it as nonrandom at the 5% level?

ewmayer 2009-06-09 16:09

[QUOTE=davieddy;176783]Well spotted. He is also responsible for the remarkable observation
that in a sequence of random numbers, there may be clusters
(which he dubbed "islands") closer than expected on average.
Freakish as GMPS last 8 discoveries may seem, I still don't see
any need to invoke divine intervention:smile:[/QUOTE]

I hope you're being sarcastic about the "remarkable" part.

Kevin, what kind of hardware are you running your (hoped-for) DC on, and what kind of throughput are you getting?

philmoore 2009-06-09 16:19

I'll let Kevin respond with the particulars, but I believe it was a quad 9550 running Prime95 or mprime. What I find exciting is that his run on 4 cores is progressing almost as fast as Tony's 16-core Itanium run. Granted, the Itanium is an older machine, but 9.5 days is a good time either way. I need a quad core too, now!

Kevin 2009-06-09 16:22

[QUOTE=ewmayer;176786]I hope you're being sarcastic about the "remarkable" part.

Kevin, what kind of hardware are you running your (hoped-for) DC on, and what kind of throughput are you getting?[/QUOTE]

All 4 cores of a Q9550 at stock speed (2.83ghz) on 64-bit Ubuntu, and I'm getting around .018 seconds per iteration.

ewmayer 2009-06-09 16:35

[QUOTE=Kevin;176788]All 4 cores of a Q9550 at stock speed (2.83ghz) on 64-bit Ubuntu, and I'm getting around .018 seconds per iteration.[/QUOTE]

Nice - that's about the same throughput Rob Giltrap's 16-core Sparc VII verify is getting, although the latter is using a 4096K FFT and compiled C code, no SSE2.

Once I finish the ongoing 64-bit linux port of my Mlucas SSE2 code and make the enhancements needed for it to run multithreaded I'll be interested to see how things scale ... Getting 0.011 seconds/iter for exponents the size of the DC one running on one core of my 2GHz Core2Duo Macbook, and 0.012 sec/iter if I run a separate LL test on each of the 2 cores. All other things being equal (which they probably aren't - I have slow ddr2 memory), at 2.83 GHz that would mean .07-.08 sec/iter/core, so if one got very good || scalability up to 4 cores, there's your 0.02 sec timing range. Amazing, this modern science. ;)

Primeinator 2009-06-09 16:58

Very nice... I wish my computer would run that fast. Is 11pm Central Standard Time on Saturday still predicted to be when the first of the double checks will be completed?


All times are UTC. The time now is 22:25.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.