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#12 | |
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Jun 2010
Pennsylvania
93410 Posts |
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Thanks for the tip, and for the update on the available ranges. I'll keep things on the simpler side, at least while I'm getting acquainted with the whole process. Do I remember it right that it's recommended to go into the LMH section to reserve work? I'm guessing that one would do that in addition to (rather than instead of) having the server assign the work. Rodrigo |
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#13 | |
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Jun 2010
Pennsylvania
2×467 Posts |
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I'll check out that link right away, thank you! Rodrigo <trying to learn fast> |
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#14 | |
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A Sunny Moo
Aug 2007
USA (GMT-5)
186916 Posts |
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#15 | |
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Jun 2010
Pennsylvania
2×467 Posts |
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Ah, that's very good to know -- thanks! I've learned so much today; the fog is slowly lifting. Rodrigo |
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#16 | |
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"Kyle"
Feb 2005
Somewhere near M52..
16238 Posts |
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Side note: Beautiful, glorious, correct grammar! |
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#17 |
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Banned
"Luigi"
Aug 2002
Team Italia
113238 Posts |
In case you find out that your older machines are too slow to get into GIMPS, please consider also donating your CPU cycles to other projects, like (hint! hint!) Operation Billion Digits...
We just opened some new ranges at 62 bits (and factoring billion digits Mersenne numbers is faster than 100 million digits).Luigi |
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#18 | |
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Nov 2008
2×33×43 Posts |
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#19 |
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Jun 2010
Pennsylvania
93410 Posts |
Primeinator,
Well, thanks for the comments on my grammar! I imagine that most of the folks here are excellent at math. For me, everything up to Probability was interesting and fun, but I knew I wasn't cut out for sophisticated mathematics when the time came to do trigonometry, and then calculus. Doing integrals was enjoyable, but derivatives were just incomprehensible to me (or was it the other way around -- been a long time). And when homework started to consist of determining the volume of cones , I realized that my career was going to involve working with words and not numbers. ![]() Thank you, too, for explaining the world-record tests, I appreciate it. Are those related to the numbers that qualify for the smaller Mersenne Prime Awards (http://www.mersenne.org/legal/#awards)? One more question, if that's O.K.-- About those smaller, interim awards for finding sub-100M primes: When getting work for your (modern) PCs, would you do anything differently if you were pursuing a Mersenne Prime Award vs. the 100 Million Digit Prime Award? The reason I ask is that I'm thinking that maybe a more modest goal would be in order, but maybe these two functions just go together naturally and there's no need to choose one or the other. Gratefully, Rodrigo |
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#20 | |
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Jun 2010
Pennsylvania
3A616 Posts |
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Thank you for the suggestion. OBD is definitely in the running. Even if the ultimate goal is that much further away, knowing that my older machines are completing more tasks in a given time is an attractive option. How would I get OBD work assigned to my PCs? Rodrigo |
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#21 | |
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A Sunny Moo
Aug 2007
USA (GMT-5)
3×2,083 Posts |
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The 100 Million Digit Prime Award ($50000) is awarded for the discovery of the *first* prime of 100 million digits or greater. This means numbers much, much bigger than the current world record and the leading edge of "First Time Tests" progression. You must select the LL-100M choice to get numbers of this size, though they're so big that they'll take over a year to do even with four cores of a modern quad working on the same test. (Only a few weeks ago was the very first of these actually completed.) So the two goals are in fact mutually exclusive--100 million digit numbers are specifically excluded from the $3000 Mersenne Prime Award because they've already got the $50000 award reserved for them. Note that the 100 million digit numbers, due to their size being so far ahead of today's computer processing capability, have an extremely remote chance of finding a prime any time soon. Even the "normal" first-time LL tests have a rather remote chance of any individual user finding a prime, though at least the chances are enough that GIMPS as a whole has a decent chance of finding one every couple of years. Even though the potential rewards of working for the 100 million digit prize is much greater, the odds of actually achieving it are infinitesimal. With the Mersenne Prime Award, the dollar amount is comparatively small, but you'd at least have sort of a chance of actually getting it. It's like playing regular lottery vs. Mega Millions--the chances of winning either is remote, but the latter is so much harder that you'd probably have better luck trying to win the smaller lottery multiple times. At GIMPS, the odds against winning the 100 million digit award (i.e., "mega millions") are even more disparate from the Mersenne Prime Award (i.e. "regular lottery") than they would be with a real lottery.
Last fiddled with by mdettweiler on 2010-07-28 at 19:35 |
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#22 |
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Jun 2010
Pennsylvania
3A616 Posts |
mdettweiler,
Wonderful explanation from beginning to end, thank you -- just the sort of thing I was hoping for! It was a HUGE help. Rodrigo |
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