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Old 2005-12-26, 03:13   #1
rogue
 
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Default Mathematical Highlights of 2005

The end of the year is upon us and I thought it would be interesting to have a list of the most interesting accomplishments in the world of mathematics for the year of 2005. I will start the list with the two Mersenne primes that were found this year.
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Old 2005-12-26, 06:03   #2
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Two primes for PSP as well
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Old 2005-12-26, 08:24   #3
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Quote:
Originally Posted by rogue
The end of the year is upon us and I thought it would be interesting to have a list of the most interesting accomplishments in the world of mathematics for the year of 2005. I will start the list with the two Mersenne primes that were found this year.
Not only was the first prime factor with at least 60 digits found this year, several of them were.


Paul
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Old 2005-12-26, 08:47   #4
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For me, the most interesting result was when SHA-1 was broken.

Maybe not the most significant result, but I do find it very interesting.
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Old 2005-12-26, 08:52   #5
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RSA-640 was factored .
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Old 2005-12-26, 12:45   #6
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Quote:
Originally Posted by xilman
Not only was the first prime factor with at least 60 digits found this year, several of them were.
With ECM of course
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Old 2005-12-26, 13:21   #7
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AMG64 gaining a strong foothold in the marketplace. The fast 64x64->128 bit product was key to the latest ECM successes. All the p60+ were found on Opterons!

Alex

Edit: Gah - not much of a mathematical achievement, is it? Missed that...

Last fiddled with by akruppa on 2005-12-28 at 07:56
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Old 2005-12-26, 16:36   #8
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Quote:
Originally Posted by akruppa
AMG64 (sic!) gaining a strong foothold in the marketplace.

Thinking about a new Mercedes?

On-Topic:
As many important events have already been mentioned, I add the prime of SoB - and gmp-ecm 6.0!
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Old 2005-12-27, 18:16   #9
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Quote:
Originally Posted by smh
With ECM of course
Thanks. I posted that in a great hurry --- too much of a hurry --- just before leaving to visit relations.

Paul
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Old 2005-12-27, 19:01   #10
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I would note that the largest known Cullen prime and Woodall prime were also found this past year. I also hope to find a new record prime of another well-known type in the next year (or at least write the software behind it). I won't metion what I'm looking for as there are too many competitive people who would try to beat me to it...

Does anyone know of new theorems or proofs from this past year for famous problems in the field of mathematics.
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Old 2005-12-27, 23:39   #11
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A front-page news item:

http://news.yahoo.com/s/ap/20051227/...s/math_problem

Unfortunately, the name of the conjecture isn't even mentioned until the 7th paragraph! And strangely enough, the article is listed in the "Education" section...

Last fiddled with by jinydu on 2005-12-27 at 23:41
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