Mathematical Highlights of 2005

rogue · 2005-12-26, 03:13

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.

Citrix · 2005-12-26, 06:03

Two primes for PSP as well

xilman · 2005-12-26, 08:24

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

Numbers · 2005-12-26, 08:47

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.

pacionet · 2005-12-26, 08:52

RSA-640 was factored .

smh · 2005-12-26, 12:45

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

akruppa · 2005-12-26, 13:21

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...

Mystwalker · 2005-12-26, 16:36

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!

xilman · 2005-12-27, 18:16

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

rogue · 2005-12-27, 19:01

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.

jinydu · 2005-12-27, 23:39

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...

2005-12-26, 03:13	#1
rogue "Mark" Apr 2003 Between here and the 11×577 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.

2005-12-26, 13:21	#7
akruppa "Nancy" Aug 2002 Alexandria 2,467 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 2005-12-28 at 07:56

2005-12-27, 23:39	#11
jinydu Dec 2003 Hopefully Near M48 2·3·293 Posts	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

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
2012 CES highlights	ixfd64	Hardware	5	2012-01-19 10:05
k*2^n-1 primes in 2005	Kosmaj	Riesel Prime Search	2	2006-01-01 11:49
Hurricane Season 2005	clowns789	Lounge	22	2005-11-01 12:02
MPrime 2005 BBCD	HiddenWarrior	Software	4	2005-10-11 10:47
Generating 2005	Wacky	Puzzles	46	2005-06-05 22:19

2005-12-26, 06:03	#2
Citrix Jun 2003 62E₁₆ Posts	Two primes for PSP as well

2005-12-26, 08:47	#4
Numbers Jun 2005 Near Beetlegeuse 2²·97 Posts	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.

2005-12-26, 08:52	#5
pacionet Oct 2005 Italy 153₁₆ Posts	RSA-640 was factored .

2005-12-27, 19:01	#10
rogue "Mark" Apr 2003 Between here and the 11×577 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 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.