Equal Sums of Like Powers

Non-negative Integer Solutions of

• The first positive integer solution of this type was obtained by A.Golden in 1949.[37]
• [ 2251, 35478, 37243 ] = [ 19747, 19747, 43254 ]
• T.N.Sinha gave a parameter solution in 1984.[6] Numerical examples are
• [ 1, 336, 385 ] = [ 193, 193, 432 ]
• [ 1, 432, 487 ] = [ 163, 325, 540 ]
• Chen Shuwen searched the smallest solutions of this type by using a 386SX PC in 1995. There are four solutions in the range max { a_i, b_i }<100.
• [ 0, 37, 62 ] = [ 21, 26, 64 ]
• [ 2, 45, 62 ] = [ 26, 29, 66 ]
• [ 1, 54, 69 ] = [ 18, 45, 73 ]
• [ 3, 58, 69 ] = [ 22, 45, 75 ]