20051226, 03:13  #1 
"Mark"
Apr 2003
Between here and the
1782_{16} Posts 
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.

20051226, 06:03  #2 
Jun 2003
3^{2}×5^{2}×7 Posts 
Two primes for PSP as well

20051226, 08:24  #3  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2×5,099 Posts 
Quote:
Paul 

20051226, 08:47  #4 
Jun 2005
Near Beetlegeuse
2^{2}·97 Posts 
For me, the most interesting result was when SHA1 was broken.
Maybe not the most significant result, but I do find it very interesting. 
20051226, 08:52  #5 
Oct 2005
Italy
3·113 Posts 
RSA640 was factored .

20051226, 12:45  #6  
"Sander"
Oct 2002
52.345322,5.52471
29·41 Posts 
Quote:


20051226, 13:21  #7 
"Nancy"
Aug 2002
Alexandria
2^{5}·7·11 Posts 
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 20051228 at 07:56 
20051226, 16:36  #8  
Jul 2004
Potsdam, Germany
1477_{8} Posts 
Quote:
Thinking about a new Mercedes? OnTopic: As many important events have already been mentioned, I add the prime of SoB  and gmpecm 6.0! 

20051227, 18:16  #9  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2×5,099 Posts 
Quote:
Paul 

20051227, 19:01  #10 
"Mark"
Apr 2003
Between here and the
2×3×17×59 Posts 
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 wellknown 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. 
20051227, 23:39  #11 
Dec 2003
Hopefully Near M48
2·3·293 Posts 
A frontpage 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 20051227 at 23:41 
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