tag:blogger.com,1999:blog-3722233.post6025884855508893027..comments2024-05-26T22:10:45.398-05:00Comments on Computational Complexity: x3 + y3 + z3 = 33 has a solution in Z. And its big!Lance Fortnowhttp://www.blogger.com/profile/06752030912874378610noreply@blogger.comBlogger12125tag:blogger.com,1999:blog-3722233.post-7227809269507107222021-12-10T00:19:36.732-06:002021-12-10T00:19:36.732-06:00How about x3+y3+z3=51How about x3+y3+z3=51Matkalla jostain jonnekinhttps://www.blogger.com/profile/06868291401434357195noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-87309290671276229412020-11-28T11:43:39.026-06:002020-11-28T11:43:39.026-06:00(8,866,128,975,287,528^3)+(-8,778,405,442,862,239)...(8,866,128,975,287,528^3)+(-8,778,405,442,862,239)^3 +(-2,736,111,468,807,040)^3 = 0Anonymoushttps://www.blogger.com/profile/18326303389683035116noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-52479525785944165192020-05-16T06:54:24.884-05:002020-05-16T06:54:24.884-05:00There is nothing impossible!There is nothing impossible!Anonymoushttps://www.blogger.com/profile/12015728275468661985noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-87663866797452763442020-05-07T08:35:32.871-05:002020-05-07T08:35:32.871-05:00But the degree of the equation can be reduced to 2...But the degree of the equation can be reduced to 2 if we use the following identity. n^3 = T_n*T_n - T_(n-1)*T_(n-1), where T_n are triangular numbers. So now the machinery of quadratic diophantine equations can be used to tackle the question of undecidability ( hopefully).espi00https://www.blogger.com/profile/08638719371283916611noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-82771744010996117672020-04-20T20:23:29.431-05:002020-04-20T20:23:29.431-05:00x^3+y^3+z^3=390
routrouve x y z ?x^3+y^3+z^3=390 <br />routrouve x y z ?Anonymoushttps://www.blogger.com/profile/09461668186383711513noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-39002465738893652222020-03-08T21:00:35.243-05:002020-03-08T21:00:35.243-05:00Wow, really? This is amazing! ;)
Wow, really? This is amazing! ;)<br />rivenojhttps://www.blogger.com/profile/13281721685502007348noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-3870180863730028332020-02-01T14:07:51.370-06:002020-02-01T14:07:51.370-06:00Its (-80538738812075974)^3 + 80435758145817115^3 +...Its (-80538738812075974)^3 + 80435758145817115^3 + 12602123297335631^3 = 42Anonymoushttps://www.blogger.com/profile/14716247811557902125noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-26076850823972979992019-09-09T18:39:57.808-05:002019-09-09T18:39:57.808-05:00(-80538738812075974)3 + 804357581458175153 + 12602...(-80538738812075974)3 + 804357581458175153 + 126021232973356313 = 42破格https://www.blogger.com/profile/16297523353042606838noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-4069296900305328502019-04-29T20:35:11.595-05:002019-04-29T20:35:11.595-05:00Not sure I call this intuition, but here is what I...Not sure I call this intuition, but here is what I think:<br />The proof that classes of Diophantine equations are undecidable seems to either need lots of variables or high degree. Since the equation featured in this blog post is only 3 vars of degree 3 it would seem hard to PROVE undecidability. AH- but the fact that the numbers are so large may well indicate that the TRUTH is undecidable.<br /><br />GASARCHhttps://www.blogger.com/profile/03615736448441925334noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-82167672111526195962019-04-29T19:56:06.791-05:002019-04-29T19:56:06.791-05:00What's the intuition behind your conjecture th...What's the intuition behind your conjecture that the problem is decidable? I would have thought that the surprisingly large k=33 solution suggests undecidability.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-43587608468576147952019-04-29T09:30:24.032-05:002019-04-29T09:30:24.032-05:00My post is about x^3 + y^3 + z^3 = 33, or other co...My post is about x^3 + y^3 + z^3 = 33, or other constants.<br />FLT is about x^3 + y^3 = z^3.<br /><br />So-- did I say something incorrect in my post or are you saying that I should mention FLT since the equation looks similar?<br />GASARCHhttps://www.blogger.com/profile/03615736448441925334noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-90011239923203430592019-04-29T08:44:46.299-05:002019-04-29T08:44:46.299-05:00you should know about #fermat therom which can be ...you should know about #fermat therom which can be a genaralization of you want to solve. you should know that #andrew jhon wiles prof that it is not possible for all k>=3. Aziz hamayadjihttps://www.blogger.com/profile/11003818742368334130noreply@blogger.com