From jmchen@pub.jiangmen.gd.cn Wed Sep 8 00:01:24 1999 Date: Tue, 17 Aug 1999 01:49:39 +0800 From: Chen Shuwen To: esg@felix.unife.it Subject: Great Progress on the Prouhet-Tarry-Escott problem! Great Progress on the Prouhet-Tarry-Escott problem! Dear Professor Ideal solutions of the the Prouhet-Tarry-Escott problem has been solved for the k=11 case recently. That is [ 0, 11, 24, 65, 90, 129, 173, 212, 237, 278, 291, 302 ] = [ 3, 5, 30, 57, 104, 116, 186, 198, 245, 272, 297, 299 ] It means 0^k+11^k+24^k+65^k+90^k+129^k+173^k+212^k+237^k+278^k+291^k+302^k = 3^k+5^k+30^k+57^k+104^k+116^k+186^k+198^k+245^k+272^k+297^k+299^k (k=1,2,3,4,5,6,7,8,9,10,11) It is a great progress of the Prouhet-Tarry-Escott problem. (The first solution of the k=9 case was found in 1940 without using computer. and no new result of k>=10 is found in the past 60 years.) For more information, please visit the following site: http://member.netease.com/~chin/eslp/k1to11.htm http://member.netease.com/~chin/eslp/k246810.htm http://member.netease.com/~chin/eslp/eslp.htm http://member.netease.com/~chin/eslp/status.htm http://member.netease.com/~chin/eslp/TarryPrb.htm Best wishes, Chen Shuwen