# Equal Sums of Like Powers

## What is New on This Site

• May 12, 2023
• Apr 30, 2023
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• March 23, 2017
• March 22, 2017
• March 21, 2017
• March 20, 2017
• March 19, 2017
• Equal sums of like powers / Records on equal sums of like powers
• Prime solution for ( k = 1, 2, 4 ), ( k = 2, 4, 6 ), ( k = 1, 2, 3, 5 ), ( k = 1, 2, 4, 6 ) are found by Chen Shuwen.
• Ideal prime solutions: 23 types are solved.
• The first prime solution founders of ( k = 1, 2, 3 ), ( k = 1, 2, 3, 4 ), ( k = 1, 2, 3, 4, 5, 6 ) are corrected. ( Qiu Min and Wu Qiang found prime solutions of these three types before April 2016, just five months earlier than Chen Shuwen.)
• ( k = 1, 2, 3, 4, 6 )
• Parametric ideal non-negative integer solution of ( k = 0, 1, 2, 3, 4 ) is found, by A.Choudhry in 2016.
• Parametric ideal non-negative integer solution of ( k = 1, 2, 3, 4, 6 ) is found, by Chen Shuwen in 2017.
• ( k = 1, 2, 3, 4, 5, 6, 7, 8 )
• There is no new new symmetric solution in the range of max { ai, bi }< 13000. (By Chen Shuwen in 2016)
• There is no non-symmetric solution in the range of max { ai, bi }< 310. (By Chen Shuwen in 2016-2017)
• ( k = 1, 3, 5, 7, 9 )
• There is no new positive integer solution in the range of Max{ai,bi}<=5600.
• There is no ideal symmetric non-negative solutions of ( k = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ) in the range of Max{ai,bi} <= 50000.
• ( k = 1, 2, 3, 4, 5, 6, 7, 8, 9 )
• Only one prime solution is found in the range of of { ai, bi }< 100000000, by Chen Shuwen in 2016.
• ( k = 2, 4, 6, 8, 10 )
• There is no new solution in the range of of max {ai, bi } <= 1800.
• Equal products and equal sums of like powers
• Smallest solution for ( k = 0, 1, 2, 3, 4, 5, 6 )
• October 17, 2016
• Equal sums of like powers / Records on equal sums of like powers
• Prime solution for ( k = 2, 6 ) by Aloril, Jean-Charles Meyrignac, Chen Shuwen
• Ideal prime solutions: 19 types are solved.
• The first prime solution founders of ( k = 2 ), ( k = 3 ), ( k = 4 ), ( k = 1, 5 ), ( k = 1, 3, 5 ) and ( k = 1, 3, 5, 7 ) are corrected.
• October 15, 2016
• October 16, 2001
• May 8, 2001
• May 6, 2001
• April 2, 2001
• March 31, 2001
• February 25, 2001
• October 16, 2000
• November 5, 1999
• September 10, 1999
• September 8, 1999
• September 7, 1999
• Augest 16, 1999
• July 14,1999
• May 9, 1998
• January 18, 1998
• Auget 1, 1997
• July 13, 1997
• June 28, 1997

• Last revised on Apr 30, 2023
Copyright 1997-2023, Chen Shuwen