[Beowulf] Mersenne primes?
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Mark Reynolds markreynoldsuk at gmail.comThu May 1 13:10:06 PDT 2008
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I'm fairly new to Beowulfery but am reading TFM from http://www.phy.duke.edu/~rgb/Beowulf/beowulf_book.php (great book by the way). Does anyone know of any programs to find Mersenne primes that are suited to parallelised environments such as a cluster made up of nodes with multi-core processors? I've found mprimes from http://www.mersenne.org/ but the FAQ states: Although, a program could be written for dual-CPU systems (it would be quite time-consuming), the machine will still get more throughput by working on separate exponents. Has anybody tried this and can Lucas-Lehmer testing be effectively parallalised? Currently, you have to run an instance for each core for it to get any benefit. Also I'd like to modify it so it could, for example, search between certain numerical ranges independent of the work units sent out through the website or to take advantage of 64-bit hardware. Can someone more knowledgeable about this sort of thing tell me whether this is practical or if it has been done already? Thanks. -- "To win one hundred victories in one hundred battles is not the highest skill. To subdue the enemy without fighting is the highest skill."— Sun-Tzu
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