## Non-negative Integer
Solutions of

*a*_{1}^{k}
+ a_{2}^{k} + a_{3}^{k}
= b_{1}^{k} + b_{2}^{k}
+ b_{3}^{k}
( k = 2, 3 )
- 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 ]

*Last revised March,31, 2001.*

Copyright 1997-2001, Chen Shuwen