mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Math

Reply
 
Thread Tools
Old 2022-06-18, 01:46   #1
MattcAnderson
 
MattcAnderson's Avatar
 
"Matthew Anderson"
Dec 2010
Oregon, USA

5×233 Posts
Smile Beal's conjecture prize

Hi again everybody,

Matt here with some exciting (old) news.

The prize is US$1 million per problem.

There were 7 unsolved (very) hard mathematics problems
set out by the Clay Mathematics Institute around the year 2,000.

One of them was (sort of) recently solved.
Now, let's look at the Beal conjecture. It is a generalization of
Fermat's last theorem.

The Beal Conjecture is something like
a^x + b^y = c^z
where all variables are both positive and integers.

Wow!
What a problem.

see wikipedia.org
https://en.wikipedia.org/wiki/Millennium_Prize_Problems
and
https://en.wikipedia.org/wiki/Beal_conjecture

This is the sort of problem that definitely takes collaboration. One person cannot (yet) do it alone.
IMHO (In My Humble Opinion)

Have a nice day.

Matthew
MattcAnderson is offline   Reply With Quote
Old 2022-06-19, 19:03   #2
xilman
Bamboozled!
 
xilman's Avatar
 
"๐’‰บ๐’ŒŒ๐’‡ท๐’†ท๐’€ญ"
May 2003
Down not across

3·13·293 Posts
Default Beal's (Conjecture Prize)

Someone who wishes to remain anonymous has brought this to my attention, hence my careful parenthesization ot this post's title.

Quote:
Attribution to Beal is in dispute. Both Zagier and Tijdeman mentioned the problem prior to
Beal. At an 1985 conference at Humboldt State Univ. John Tate gave a superb
talk on the recently discovered connection between FLT and the Taniyama Shimura conjecture.
(proved by Wiles). At the end of the talk a member of the audience (name unknown)
casually asked whether it could be applied to the case of unequal exponents.

Beal publicized the problem and offered money. It should be called the Beal Prize for
the Tijdeman-Zagier conjecture.
xilman is offline   Reply With Quote
Old 2022-06-19, 23:49   #3
storm5510
Random Account
 
storm5510's Avatar
 
Aug 2009
Not U. + S.A.

43458 Posts
Default

Quote:
Originally Posted by MattcAnderson View Post
The Beal Conjecture is something like
a^x + b^y = c^z
where all variables are both positive and integers.
This very much resembles something I saw in a trade school class: a2 + b2 = c2. Pythagorean Theorem, to be exact. The resolution was c = Sqrt(a2 + b2), if memory serves. The length of the hypotenuse of a right triangle. It was a long time ago.
storm5510 is offline   Reply With Quote
Old 2022-06-20, 00:26   #4
jwaltos
 

24×3×67 Posts
Default

Quote:
Originally Posted by xilman View Post
Someone who wishes to remain anonymous has brought this to my attention, hence my careful parenthesization ot this post's title.
"Beal publicized the problem and offered money. It should be called the Beal Prize for the Tijdeman-Zagier conjecture."

If history is any guide...Farey...Haros (who the hell is Haros?)..Euler..Pell (what was it that Pell did again?)..equitable attribution in mathematics..there's more than enough precedent to lay waste to any claims of "fair and appropriate" attribution. Might as well name a planet Pluto and expect that to stick..
  Reply With Quote
Old 2022-06-20, 08:48   #5
xilman
Bamboozled!
 
xilman's Avatar
 
"๐’‰บ๐’ŒŒ๐’‡ท๐’†ท๐’€ญ"
May 2003
Down not across

262438 Posts
Default

Quote:
Originally Posted by MattcAnderson View Post
There were 7 unsolved (very) hard mathematics problems
set out by the Clay Mathematics Institute around the year 2,000.

One of them was (sort of) recently solved.
Why, in your professional opinion, do you think the Poincarรฉ conjecture is only "sort of" solved?
xilman is offline   Reply With Quote
Old 2022-06-20, 16:05   #6
storm5510
Random Account
 
storm5510's Avatar
 
Aug 2009
Not U. + S.A.

32·11·23 Posts
Default

Quote:
Originally Posted by MattcAnderson View Post
...This is the sort of problem that definitely takes collaboration. One person cannot (yet) do it alone.
IMHO (In My Humble Opinion)

Have a nice day.

Matthew
Someone here, with the ability, should write a program to do this, unless something already exists. There would need to be an ordered progression and not random numbers. The language platform would need to handle very large numbers. The only one I am familiar with can handle 64-bit unsigned integer types, 0 to 18,446,744,073,709,551,615, (FFFF FFFF FFFF FFFF). This might be large enough, then again, it may not.
storm5510 is offline   Reply With Quote
Old 2022-06-20, 16:41   #7
mathwiz
 
Mar 2019

5×59 Posts
Default

Quote:
Originally Posted by storm5510 View Post
Someone here, with the ability, should write a program to do this, unless something already exists.
Let me Google that for you.
mathwiz is offline   Reply With Quote
Old 2022-06-20, 17:23   #8
rogue
 
rogue's Avatar
 
"Mark"
Apr 2003
Between here and the

2×13×257 Posts
Default

Just don't bring up Don Blazys's proof. He was a crackpot who could not accept that his proof had flaws. You can search the forum for our debates with him on his proof. He tried passing off his proof in many places and just assumed it was correct if nobody disagreed. It doesn't mean that anyone agreed...
rogue is offline   Reply With Quote
Old 2022-06-20, 21:47   #9
storm5510
Random Account
 
storm5510's Avatar
 
Aug 2009
Not U. + S.A.

32·11·23 Posts
Default

This is most definitely over my head. Not a language I recognize.
storm5510 is offline   Reply With Quote
Old 2022-06-20, 22:22   #10
kriesel
 
kriesel's Avatar
 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

11010000100012 Posts
Default

Quote:
Originally Posted by storm5510 View Post
This is most definitely over my head. Not a language I recognize.
The linked article includes:
Quote:
I ported it from Python 1.5 to 3.5
kriesel is offline   Reply With Quote
Old 2022-06-20, 22:30   #11
chalsall
If I May
 
chalsall's Avatar
 
"Chris Halsall"
Sep 2002
Barbados

25×331 Posts
Default

Quote:
Originally Posted by storm5510 View Post
This is most definitely over my head. Not a language I recognize.
Yeah...

In at least one case it has been well documented that if you're going to do an exhaustive search, it is best to use C. If not hand-crafted assembly, tuned to each processor...
chalsall is online now   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Beal's conjecture ..........not Awojobi Miscellaneous Math 14 2022-04-12 04:56
Can we prove Beal conjecture assuming ABC conjecture? didgogns Miscellaneous Math 1 2020-08-05 06:51
The Beal Conjecture Proof Arxenar Miscellaneous Math 1 2013-09-07 09:59
Distributed Beal Conjecture Problem Joshua2 Math 54 2009-10-19 02:21
New Beal Conjecture Search Joshua2 Open Projects 0 2009-04-20 06:58

All times are UTC. The time now is 05:20.


Tue Aug 16 05:21:00 UTC 2022 up 40 days, 8 mins, 1 user, load averages: 1.29, 1.36, 1.34

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

โ‰  ยฑ โˆ“ รท ร— ยท โˆ’ โˆš โ€ฐ โŠ— โŠ• โŠ– โŠ˜ โŠ™ โ‰ค โ‰ฅ โ‰ฆ โ‰ง โ‰จ โ‰ฉ โ‰บ โ‰ป โ‰ผ โ‰ฝ โŠ โŠ โŠ‘ โŠ’ ยฒ ยณ ยฐ
โˆ  โˆŸ ยฐ โ‰… ~ โ€– โŸ‚ โซ›
โ‰ก โ‰œ โ‰ˆ โˆ โˆž โ‰ช โ‰ซ โŒŠโŒ‹ โŒˆโŒ‰ โˆ˜ โˆ โˆ โˆ‘ โˆง โˆจ โˆฉ โˆช โจ€ โŠ• โŠ— ๐–• ๐–– ๐–— โŠฒ โŠณ
โˆ… โˆ– โˆ โ†ฆ โ†ฃ โˆฉ โˆช โŠ† โŠ‚ โŠ„ โŠŠ โŠ‡ โŠƒ โŠ… โŠ‹ โŠ– โˆˆ โˆ‰ โˆ‹ โˆŒ โ„• โ„ค โ„š โ„ โ„‚ โ„ต โ„ถ โ„ท โ„ธ ๐“Ÿ
ยฌ โˆจ โˆง โŠ• โ†’ โ† โ‡’ โ‡ โ‡” โˆ€ โˆƒ โˆ„ โˆด โˆต โŠค โŠฅ โŠข โŠจ โซค โŠฃ โ€ฆ โ‹ฏ โ‹ฎ โ‹ฐ โ‹ฑ
โˆซ โˆฌ โˆญ โˆฎ โˆฏ โˆฐ โˆ‡ โˆ† ฮด โˆ‚ โ„ฑ โ„’ โ„“
๐›ข๐›ผ ๐›ฃ๐›ฝ ๐›ค๐›พ ๐›ฅ๐›ฟ ๐›ฆ๐œ€๐œ– ๐›ง๐œ ๐›จ๐œ‚ ๐›ฉ๐œƒ๐œ— ๐›ช๐œ„ ๐›ซ๐œ… ๐›ฌ๐œ† ๐›ญ๐œ‡ ๐›ฎ๐œˆ ๐›ฏ๐œ‰ ๐›ฐ๐œŠ ๐›ฑ๐œ‹ ๐›ฒ๐œŒ ๐›ด๐œŽ๐œ ๐›ต๐œ ๐›ถ๐œ ๐›ท๐œ™๐œ‘ ๐›ธ๐œ’ ๐›น๐œ“ ๐›บ๐œ”