20100317, 13:39  #1 
2^{5}·3·43 Posts 
100M digit prime
How long would it take for a supercomputer to check a 100M digit number?
Could a dedicated computer be built to test 100M digit numbers at a rate of one per month? If yes, any guess on cost? 
20100317, 15:53  #2  
"Bob Silverman"
Nov 2003
North of Boston
2·3,779 Posts 
Quote:
B. Yes; C. Yes, we can guess at the cost. Why anyone would dedicate a machine to such an effort is beyond me. Even more mysterious would be why anyone would spend money on it. Finding such a prime would not solve any open problems. It has little value beyond entertainment. We know such primes exist. Finding one will happen eventually. What's the hurry? 

20100317, 16:02  #3  
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
11×389 Posts 
Quote:
Unfortunately, the LL test does not scale linearly (since you must complete each iteration in order), with basicallymarginal gains at 8 or greater cores. I'm not sure if any current supercomputer could complete one in one month, though you could certainly average a much greater throughput with enough firepower (as long as you're willing to wait months to years to get results). A better approach than a supercomputer might be a farm of quad (or hex, or dual quad, or something like that) core computers. My i5 (quad core running at 2.8 GHz) could do one 100M digit Mersenne number in about 600 days (using all cores). To complete 20 every 600 days (an average of one per month), you'd need a cluster of 20 such computers. You might be able to get down to $300$400 per computer. That's $6,000 to $8,000, plus electricity (which is not a trivial cost). Of course, if you are serious about doing this, you'll want research other computer combinations, look around for the best prices, look into what sort of software you'll want to use and how it scales, etc. etc. Or you could just wait about 10 years (rough guesstimation) and buy one desktop computer for a few hundred bucks that can complete a 100M digit LL every month. And, like Silverman said, there's no good reason to dedicate so much money towards something that can wait a few years and would solve no problems (just provide some entertainment). Last fiddled with by TimSorbet on 20100317 at 16:06 

20100318, 02:42  #4 
Oct 2008
n00bville
2^{5}×23 Posts 
Silverman the ever lasting misanthropist.
The question is not if it is possible but if you can buy such a device. You would have to program it for a graphic card array or buy a 6+ core. An overclocked Core i7 would be a fine hardware for a low price. An Intel Corei7 980x would be a nice hardware to try prime95 but with almost 1.000 bucks a little bit pricey (perhaps not?) Last fiddled with by joblack on 20100318 at 02:45 
20100319, 01:00  #5  
Jul 2006
Calgary
5^{2}×17 Posts 
Quote:


20100319, 03:22  #6 
Oct 2008
n00bville
2E0_{16} Posts 
It's more about the fame. In a few years for the 50.000 USD you will be able to buy a pizza and two colas.

20100319, 04:01  #7 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2·3·887 Posts 

20100319, 04:04  #8 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
6774_{10} Posts 

20100319, 14:35  #9 
Oct 2008
n00bville
2^{5}×23 Posts 
I'm referring to the upcoming hyperinflation after the 2nd Great Depression ;).
Last fiddled with by joblack on 20100319 at 14:40 
20100324, 17:53  #10 
2×3^{2}×19×23 Posts 
i got a core i7 but prime 95 still running using only 65 mbs of ram how can i do to make it increse the limit is set in 3096 mb

20100324, 20:16  #11  
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×3×887 Posts 
Quote:
The only work types that NEED and will use more than a few meg are P1 Factoring and ECM (either type) ....and then only in Stage 2 of the processing...they will at most use what you set using the: Code:
Options CPU... 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Predict discovery date of the 1st 100M digit prime  retina  Lounge  47  20190907 15:46 
CPU time for 100M digit prime test  biggerben  Software  7  20141024 05:47 
How far along are you in your 100M digit LL test?  JuanTutors  Lounge  6  20120221 07:36 
100Mdigit n/k pairs  __HRB__  Riesel Prime Search  0  20100522 01:17 
What minimum exponent would give 100M digit prime?  odin  Software  7  20100418 13:57 