## Non-negative Integer
Solutions of

*a*_{1}^{k}
+ a_{2}^{k} = b_{1}^{k}
+ b_{2}^{k}
( k = 3 )
- Solution methods on this equation can be seen
in
`[1]` `[3]`
.Numerical exampls are
- [ 1, 12 ] = [ 9, 10 ]
- [ 2, 16 ] = [ 9, 15 ]
- [ 2, 34 ] = [ 15, 33 ]
- [ 3, 60 ] = [ 22, 59 ]
- [ 10, 27 ] = [19, 24 ]

- J.Leech obtained this solution, which is the
smallest such sample.
`[41]` `[43]`
- [ 167, 436 ] = [ 228, 423 ] = [ 255, 414 ]

- E.Rosenstiel, J.A.Dardis and C.R.Rosenstiel gave
the four least examples of such type in 1991 by using computer.
`[42]`
- [ 2421, 19083 ] = [ 5436, 18948 ] = [ 10200,
18072 ] = [ 13322, 16630 ]
- [ 4275, 23237 ] = [ 7068, 23066 ] = [ 10362,
22580 ] = [ 12939, 21859 ]

*Last revised March,31, 2001.*

Copyright 1997-2001, Chen Shuwen